init

README.md

-图标题匹配  
-图正文匹配
\ No newline at end of file
+图文匹配-标题  
+
+图文匹配-正文  
+
+
+
+config.py   
+
+CHECK_IMAGE_CAPTION=True  # 一、图像和标题匹配 开关  
+CHECK_IMAGE_CAPTION_VLM=True  # 图像和标题匹配 提示词开关  
+CHECK_IMAGE_CONTEXT=False  # 二、图像和正文匹配 开关  
+CHECK_IMAGE_CONTEXT_VLM=False  # 图像和正文匹配 提示词开关  
+
+
+
+服务启动
+
+```
+    # cd /nfs/liuxin/work/Image_TextTitle_Matching
+    # conda activate text_check
+    # nohup python -u main.py > main_image_title.log 2>&1 &
+    # tail -f main_image_title.log
+    # ss -ntlp | grep 29500
+```
+

formula_tex_url.py

+import requests
+
+def test_service():
+    
+    #url_path='https://help-static-aliyun-doc.aliyuncs.com/file-manage-files/zh-CN/20241022/emyrja/dog_and_girl.jpeg'
+    url_path='https://oss.5rs.me/oss/upload/image/png/d038e42a43154bb499810096446888f8.png'
+    #url_path='/home/wangtengbo/A800-13-nfs/Image_Text_Matching_Server_Develop/logs/2025-06-23/images/dog_and_girl_20250623024916296.jpeg'
+    data_info = {
+        "illustration_url": url_path,
+        'caption_text':'庆祝澳门回归',
+        "context_info":''
+    }
+    
+    try:
+        url = 'http://localhost:29505/v1/image_text_matching' # 王腾博部署
+        url = 'http://localhost:29500/v1/image_text_matching' # 测试和生产部署的api接口
+        response = requests.post(url, json=data_info)
+        print('Comment response status code:', response.status_code)
+        if response.status_code == 200:
+            print('Response content:', response.json())
+        else:
+            print('Error response content:', response.text)
+    except requests.exceptions.RequestException as e:
+        print(f"Request failed: {e}")
+    
+if __name__ == "__main__":
+    test_service()

html_server/obs_upload.py

+import requests
+import os
+import mimetypes
+from typing import Dict, Optional, Union, Tuple
+from urllib.parse import quote
+
+class OBSUploader:
+    def __init__(self, base_url: str = "https://open.raysgo.com", auth_token: Optional[str] = None):
+        """
+        Initialize the OBS uploader.
+        
+        Args:
+            base_url: The base URL for the API
+            auth_token: The authorization token for API access
+        """
+        self.base_url = base_url.rstrip('/')
+        self.auth_token = auth_token
+        self.headers = {
+            'Authorization': f'Bearer {auth_token}' if auth_token else None
+        }
+        # Initialize mimetypes
+        mimetypes.init()
+
+    def _get_content_type(self, file_path: Union[str, bytes]) -> Tuple[str, bytes]:
+        """
+        Get content type and file content from file path or bytes.
+        
+        Args:
+            file_path: Path to the file or file content as bytes
+            
+        Returns:
+            Tuple of (content_type, file_content)
+        """
+        if isinstance(file_path, str):
+            if not os.path.exists(file_path):
+                raise FileNotFoundError(f"File not found: {file_path}")
+            content_type, _ = mimetypes.guess_type(file_path)
+            with open(file_path, 'rb') as f:
+                file_content = f.read()
+        else:
+            file_content = file_path
+            # For bytes input, try to detect type from first few bytes
+            content_type = 'application/octet-stream'  # Default content type
+            
+        return content_type or 'application/octet-stream', file_content
+
+    def get_upload_url(self, biz_code: str, object_name: str, content_type: str) -> Dict:
+        """
+        Get a temporary upload URL for the specified object.
+        
+        Args:
+            biz_code: Business code for the upload
+            object_name: Name/path of the object to upload
+            content_type: MIME type of the file
+            
+        Returns:
+            Dict containing the upload URL and related information
+        """
+        endpoint = f"{self.base_url}/aimodel/v1.0/obs/getCreatePostSignature"
+        params = {
+            'bizCode': biz_code,
+            'objectName': object_name,
+            'mimeType': content_type
+        }
+        
+        response = requests.get(endpoint, params=params, headers=self.headers)
+        response.raise_for_status()
+        return response.json()
+
+    def upload_file(self, file_path: Union[str, bytes], biz_code: str, object_name: str) -> Dict:
+        """
+        Upload a file using temporary credentials.
+        
+        Args:
+            file_path: Path to the file to upload or file content as bytes
+            biz_code: Business code for the upload
+            object_name: Name/path of the object to upload
+            
+        Returns:
+            Dict containing the upload result and file URL
+        """
+        # Get content type and file content
+        content_type, file_content = self._get_content_type(file_path)
+        
+        # Get temporary upload URL with content type
+        upload_info = self.get_upload_url(biz_code, object_name, content_type)
+        
+        if upload_info['errCode'] != 0:
+            raise Exception(f"Failed to get upload URL: {upload_info['message']}")
+        
+        upload_url = upload_info['data']['temporarySignatureUrl']
+        
+        # Upload the file with the correct content type
+        headers = {
+            'Content-Type': content_type,
+            'Content-Length': str(len(file_content))
+        }
+        
+        response = requests.put(upload_url, data=file_content, headers=headers)
+        response.raise_for_status()
+        
+        return {
+            'success': True,
+            'file_url': upload_info['data']['domain'] + '/' + object_name,
+            'object_url_map': upload_info['data']['objectUrlMap']
+        }
+
+# Example usage:
+if __name__ == "__main__":
+    # Initialize uploader
+    uploader = OBSUploader(auth_token="dcg-4c1e3a7f4fcd415e8c93151ff539d20a")
+    
+    # Upload a file
+    try:
+        result = uploader.upload_file(
+            file_path="/data/wangtengbo/formula_node4_测试/logs/logs/2025-03-02/images/0d307e97071846a1b144e7dfb4d44241_20250302073213192/formula_1.png",
+            biz_code="formula",
+            object_name="image/test.jpg"
+        )
+        print(f"File uploaded successfully! URL: {result['file_url']}")
+    except Exception as e:
+        print(f"Upload failed: {str(e)}") 
\ No newline at end of file

requirements.txt

+fastapi
+loguru
+starlette
+uvicorn
+mysql-connector-python
+requests
+
+
+opencv-python-headless
+numpy
+langid==1.1.6
+scikit-learn==1.5.0
+scipy==1.14.0
+chardet
+Levenshtein
+
+TextInParseX==1.0.5
+sqlalchemy==2.0.0
+pymysql==1.1.0
+Pillow
+
+matplotlib
\ No newline at end of file

tasks/doubao_vision.py

+import os
+# 通过 pip install volcengine-python-sdk[ark] 安装方舟SDK
+from volcenginesdkarkruntime import Ark
+
+# 替换 <MODEL> 为模型的Model ID 
+model="doubao-1.5-vision-pro"
+
+# 初始化Ark客户端，从环境变量中读取您的API Key
+client = Ark(
+    api_key="fc61954e-f585-4aac-b88a-7baf56e05d9e",
+    )
+
+# 创建一个对话请求
+response = client.chat.completions.create(
+    # 指定您部署了视觉理解大模型的推理接入点ID
+    model = model,
+    messages = [
+        {
+            # 指定消息的角色为用户
+            "role": "user",  
+            "content": [   
+                # 图片信息，希望模型理解的图片
+                {"type": "image_url", "image_url": {"url":  "https://ark-project.tos-cn-beijing.volces.com/doc_image/ark_demo_img_1.png"},},
+                # 文本消息，希望模型根据图片信息回答的问题
+                {"type": "text", "text": "支持输入是图片的模型系列是哪个？"}, 
+            ],
+        }
+    ],
+)
+print(response)
+print(response.choices[0].message.content)
\ No newline at end of file

tasks/filter_text_spaces.py

+import re
+
+def remove_blank_lines(text):
+    # 使用正则表达式去除空行
+    result = re.sub(r'\n\s*\n', '\n', text)
+    return result
+if __name__ == "__main__":
+    
+    sub_text_infos="""# 第一章 机械运动
+
+    表 1-1 地球上不同纬度的重力加速度
+
+    | 地点 | 赤道 | 广州 | 上海 | 北京 | 北极 |
+    | --- | --- | --- | --- | --- | --- |
+    | 纬度 | 0° | 23°06′ | 30°12′ | 39°56′ | 90° |
+    | $g$ (m/s²) | 9.780 | 9.788 | 9.794 | 9.801 | 9.832 |
+    """
+
+    result=remove_blank_lines(sub_text_infos)
+    print(result)

tasks/if_formula.py

+import re
+from utils.common import Singleton
+
+# class FormulaProcessor(metaclass=Singleton):
+class FormulaProcessor():
+    def __init__(self):
+        # 预编译正则表达式，提高性能
+        self.chinese_characters_pattern = re.compile(r'[\u4e00-\u9fff]')
+        self.english_characters_pattern = re.compile(r'[a-zA-Z]')
+        self.digits_pattern = re.compile(r'\d')
+        self.expression_pattern = re.compile(r'(\b[a-zA-Z]+\b\s*=\s*\d+)')
+        self.latex_formula_pattern = re.compile(r'\\[a-zA-Z]+\{.*?\}|\$.*?\$')
+        self.exclusion_keywords = ['例题', '题目','答案','练习','新课教授','化简','例','判断','选择','填空','计算题']
+        self.allowed_characters_pattern = re.compile(r'^[\u4e00-\u9fffA-Za-z]+$')
+    def contains_latex_formula(self, string):
+        return bool(self.latex_formula_pattern.search(string))
+
+    def is_formula(self, string):
+        # 规则1：包含等号或者包含LaTeX公式
+        if '=' in string or '>' in string or '<' in string or '\\' in string or '+' in string or '-' in string or '*' in string or '^' in string :
+            return True
+
+        if not self.contains_latex_formula(string):
+            return False
+
+        if self.allowed_characters_pattern.match(string):
+            return False
+        # 规则3：包含“例题”、“题”、“题目”的都不是公式
+        if any(keyword in string for keyword in self.exclusion_keywords):
+            return False
+        # # 规则2：只有中文、英文，或者同时包含中文以及英文和数字的肯定不是公式，除非包含LaTeX公式
+        if self.chinese_characters_pattern.search(string) and (
+            self.english_characters_pattern.search(string) or self.digits_pattern.search(string)):
+            if not self.contains_latex_formula(string):
+                return False
+      
+     
+        # 通过所有规则检查，返回True
+        return True
+
+# 测试示例
+if __name__ == "__main__":
+    checker = FormulaProcessor()
+    test_strings = [
+        "1．了解二次根式、最简二次根式的概念,理解二次根式的性质 2.了解二次根式(根号下仅限于数)的加、减、乘、除运算法则,会用它们进 行有关的简单四则运算. 一 课时分配 本章教学约需8 课时,具体安排如下: 16.1二次根式2 课时 16.2二次根式的乘除3 课时 16.3二次根式的加减2 课时 小结1课时。",
+        "最简二次根式的概念,理解二次根式的性质",
+        'abdfsfdsfewfdsfsdfew,'
+        '２为了民族复兴的梦想，我们从１８４０年的海面出发'
+        "x^2 + y^2 = z^2",
+        "E = mc^2",
+        "F = ma",
+        'a*b=10',
+        "理解并掌握(\sqrt{a})^{2}=a (a \geq 0)",
+        "本章内容主要有两个部分，它们分别是二次根式的有关概念、性质和二次根 式的四则运算. 本章的第一部分是二次根式的有关概念和性质.教材从两个电视塔的传播 半径之比出发，引入人二次根式的概念.接着根据有理数的算术平方根的意义，顺 理成章地推导出二次根式的两个性质： $\left( \sqrt{a} \right)^{3}=a \left( a \geq 0 \right) \rightarrow \sqrt{a^{3}}=a \left( a \geq 0 \right)$  本章的第二部分是二次根式的四则运算.教材遵循由特殊到一般的规律，由 学生通过分析、概括、交流、归纳等过程,探究得到二次根式的乘除运算法则:  $\sqrt{a}+ \sqrt{b}= \sqrt{ab} \left( a \geq 0,b \geq 0 \right) \text{和} \frac{ \sqrt{a}}{ \sqrt{b}}= \sqrt{ \frac{a}{b}} \left( a \geq 0,b>0 \right)$ .在此基础上，又通过进一步 类比,引出二次根式的加减运算.教材注重知识之间的联系，将乘法公式运用到 二次根式的四则运算中，以简化二次根式的运算"
+        ,
+        '1.直线与抛物线的交点问题 要解决直线与抛物线的位置关系问题，可把直线方程与抛物线方程联 立，消去y（或消去x)得出关于x（或关于y)的一个方程 $ax^{2}+bx+c=0$   $y$ ,其中二 次项系 $a$ 有可能为0，此时直线与抛物线有一个交点. 当二次项系数 $a \neq 0$ 时, $\Delta=b^{2}-4ac$  若△=0,则直线与抛物线没有公共点； 若 $\Delta>0$ ,则直线与抛物线有且只有一个公共点； 若 $\Delta<0$ 则直线与抛物线有两个不同的公共点. 2.弦长问题 设弦的端点为 $A \left( x_{1},y_{1} \right),B \left( x_{2},y_{2} \right)$  (1)一般弦长： $\left| AB \right|= \sqrt{1+k^{2}} \left| x_{1}-x_{2} \right.$ 域| $AB \left| \right.= \sqrt{1+ \frac{1}{k^{2}}} \left| y_{1}-y_{2} \right|$ (其中 k为弦所在直线的斜率） (2)焦点弦长: $\left| AB \right|=x_{1}+x_{2}-p.$  3.中点弦问题 若 $M \left( x_{0},y_{0} \right)$ 是抛物线 $y^{2}=2px \left( p>0 \right)$ 的弦 $AB$ 的中点，则直线 $AB$ 的斜率 为 $k_{AB}= \frac{p}{y_{0}}$'
+        ,
+        '库伦定律表达式：F=k1y2 r2' #:True
+    ]
+
+    results = [checker.is_formula(s) for s in test_strings]
+    print(results)  # [False, False, True, True, True, True, True]

tasks/mysql_utils.py

+# encoding=utf8
+import sys
+import os
+import time
+from loguru import logger
+import datetime
+from sqlalchemy import create_engine, UniqueConstraint
+from sqlalchemy.orm import sessionmaker
+from sqlalchemy.orm import declarative_base
+from sqlalchemy import Column, String, Integer, DateTime, Text, SmallInteger
+from config.config import MYSQL_DB_URL
+
+engine_knowledge = create_engine(
+            url=MYSQL_DB_URL,
+            max_overflow = 10,  #超过连接池大小外最多创建的连接，为0表示超过5个连接后，其他连接请求会阻塞 （默认为10）
+            pool_size = 50,      #连接池大小（默认为5）
+            pool_timeout = 30,  #连接线程池中，没有连接时最多等待的时间，不设置无连接时直接报错 （默认为30）
+            pool_recycle = 3600   #多久之后对线程池中的线程进行一次连接的回收（重置） （默认为-1）
+            )
+Session_Knowledge = sessionmaker(bind=engine_knowledge)
+
+BaseKnowledge = declarative_base()
+
+class KnowledgeBasePrompts(BaseKnowledge):
+    __tablename__ = 'knowledge-base-prompts'
+    id = Column(Integer, primary_key=True)
+    task_id = Column(Integer, unique=True)
+    task_name = Column(String(50))
+    prompt = Column(Text)
+    llm = Column(String(30))
+    author = Column(String(50))
+    status = Column(Integer)
+    attr = Column(Text)
+    create_time = Column(DateTime, default=datetime.datetime.now)
+    update_time = Column(DateTime, default=datetime.datetime.now)
+
+class CorrectLLMStatisticsLog(BaseKnowledge):
+    __tablename__ = 'correct_llm_statistics_log'
+    id = Column(Integer, primary_key=True)
+    env = Column(String(32))
+    source_type = Column(String(32))
+    server_name = Column(String(64))
+    user_id = Column(String(64))
+    publish_id = Column(String(64))
+    request = Column(String(512))
+    model = Column(String(512))
+    url = Column(String(512))
+    api_key = Column(String(512))
+    api_version = Column(String(512))
+    input_token = Column(Integer)
+    output_token = Column(Integer)
+    start_time = Column(DateTime)
+    end_time = Column(DateTime)
+    message = Column(String(512))
+    doc_id = Column(String(64))
+    fragment_id = Column(String(512))
+    book_name = Column(String(512))
+    text = Column(Text)
+    backup = Column(Text)
+    update_time = Column(DateTime, default=datetime.datetime.now)
+
+"""
+类DBUtils的定义
+"""
+
+class DBUtils(object):
+    def __init__(self):
+        pass
+
+    @staticmethod
+    def get_prompt(task_id, task_name=None):
+        session = Session_Knowledge()
+        try:
+            prompt_obj = session.query(KnowledgeBasePrompts).filter_by(task_id=task_id).first()
+            return prompt_obj
+        except Exception as e:
+            logger.error("get_prompt error: {0}",e)
+            return None
+        finally:
+            session.close()
+
+    @staticmethod
+    def insert_llm_log(env=None, source_type=None, server_name=None, user_id=None, publish_id=None, 
+                       request=None, model=None, url=None, api_key=None,api_version=None,
+                       input_token=0, output_token=0, start_time=None, end_time=None, 
+                       message=None, doc_id=None, fragment_id=None,book_name=None, text=None,
+                       backup=None):
+        begin_time = datetime.datetime.now()
+        session = Session_Knowledge()
+        try:
+            log = CorrectLLMStatisticsLog(env=env, source_type=source_type, server_name=server_name, 
+                                          user_id=user_id, publish_id=publish_id, request=request,
+                                          model=model, url=url, api_key=api_key, api_version=api_version,
+                                          input_token=input_token, output_token=output_token,
+                                          start_time=start_time, end_time=end_time, message=message,
+                                          doc_id=doc_id, fragment_id=fragment_id,book_name=book_name, text=text,
+                                          backup=backup)
+            session.add(log)
+            session.commit()
+        except Exception as e:
+            logger.error("insert_llm_log error: {}".format(e))
+            session.rollback()
+        finally:
+            session.close()
+        over_time = datetime.datetime.now()
+        logger.info("insert_llm_log elapsed time: {}".format(over_time - begin_time))
+    
+def test_dbutil():
+    pass
+
+if __name__ == '__main__':
+    test_dbutil()
\ No newline at end of file

tasks/qwen_vl_infer.py

+import os
+from openai import OpenAI
+from loguru import logger
+from config.config import QWEN_API_KEY,QWEN_URL,QWEN_MODEL
+
+def qwen_vl_infer(
+    image_url: str,
+    system_prompt:str,
+    user_prompt:str
+) -> str:
+    """
+    使用指定的多模态模型，对给定图片 URL 进行描述。
+    
+    Args:
+        api_key (str): OpenAI API 密钥。
+        image_url (str): 要描述的图片地址。
+        model (str): 模型名称，默认为 qwen-vl-max-latest。
+        base_url (str): 接口基础 URL。
+    
+    Returns:
+        str: 模型返回的描述文本；出错时返回空字符串。
+    """
+    try:
+        client = OpenAI(
+            api_key=QWEN_API_KEY,
+            base_url=QWEN_URL,
+        )
+
+        messages = [
+            {
+                "role": "system",
+                "content": [{"type": "text", "text": system_prompt}],
+            },
+            {
+                "role": "user",
+                "content": [
+                    {"type": "image_url", "image_url": {"url": image_url}},
+                    {"type": "text", "text": user_prompt},
+                ],
+            },
+        ]
+
+        completion = client.chat.completions.create(
+            model=QWEN_MODEL,
+            messages=messages,
+        )
+
+        description = completion.choices[0].message.content
+        logger.info("Received description from model")
+        return description
+
+    except Exception as e:
+        logger.error(f"Unexpected Qwen Infer error: {e},completion={completion}", exc_info=True)
+
+    return ""
\ No newline at end of file

tasks/sub_img_clip.py

+import cv2
+import os
+
+class ImageProcessor:
+    def __init__(self):
+        pass
+    def enlarge_image(self, image, scale_factor=2):
+        # 获取原图像的尺寸
+        width = int(image.shape[1] * scale_factor)
+        height = int(image.shape[0] * scale_factor)
+        # 使用Lanczos插值方法进行图像放大
+        enlarged_image = cv2.resize(image, (width, height), interpolation=cv2.INTER_LANCZOS4)
+        return enlarged_image
+ 
+
+    def process_image(self, image, rois, output_folder):
+        extracted_image_paths = []
+
+        for i, (x1, y1, x2, y2) in enumerate(rois):
+            roi = image[y1:y2, x1:x2]
+            enlarged_roi = self.enlarge_image(roi)
+
+            if ((x2 - x1) * (y2 - y1)) >= (0.75 * image.shape[1] * image.shape[0]) and ((x2 - x1) > 600 and (y2 - y1) > 600):
+               # logger.info(f"Sub-image at index {i} is too large, splitting into smaller sections.")
+                if (x2 - x1) > (y2 - y1):  # 横向裁剪
+                    mid_x = x1 + (x2 - x1) // 2
+                    for j, (start_x, end_x) in enumerate([(x1, mid_x), (mid_x, x2)]):
+                        sub_roi = image[y1:y2, start_x:end_x]
+                        sub_enlarged_roi = self.enlarge_image(sub_roi)
+                        sub_output_path = os.path.join(output_folder, f"formula_{i+1}_{j+1}.png")
+                        cv2.imwrite(sub_output_path, sub_enlarged_roi)
+                        extracted_image_paths.append(sub_output_path)
+                else:  # 竖向裁剪
+                    mid_y = y1 + (y2 - y1) // 2
+                    for j, (start_y, end_y) in enumerate([(y1, mid_y), (mid_y, y2)]):
+                        sub_roi = image[start_y:end_y, x1:x2]
+                        sub_enlarged_roi = self.enlarge_image(sub_roi)
+                        sub_output_path = os.path.join(output_folder, f"formula_{i+1}_{j+1}.png")
+                        cv2.imwrite(sub_output_path, sub_enlarged_roi)
+                        extracted_image_paths.append(sub_output_path)
+            else:
+                # 保存提取的图像
+                output_path = os.path.join(output_folder, f"formula_{i+1}.png")
+                cv2.imwrite(output_path, enlarged_roi)
+                extracted_image_paths.append(output_path)
+        
+        return extracted_image_paths
+
+# 假设这里有图像和ROI的初始化代码
+if __name__ == "__main__":
+    processor = ImageProcessor()
+    image = cv2.imread("/data/wangtengbo/formula_correct/test_data/SQW@MFFBGE28F2%S%TV]M[0.png")  # 读取图像
+    rois = [(50, 50, 700, 1300), (800, 100, 1500, 1600)]  # 假设这里有ROI的定义
+    output_folder = "output"
+    if not os.path.exists(output_folder):
+        os.makedirs(output_folder)
+
+    extracted_image_paths = processor.process_image(image, rois, output_folder)
+    print(extracted_image_paths)

tasks/test.py

+import re
+
+class FormulaProcessor:
+    def __init__(self):
+        # 预编译正则表达式，提高性能
+        self.chinese_characters_pattern = re.compile(r'[\u4e00-\u9fff]')
+        self.english_characters_pattern = re.compile(r'[a-zA-Z]')
+        self.digits_pattern = re.compile(r'\d')
+        self.expression_pattern = re.compile(r'(\b[a-zA-Z]+\b\s*=\s*\d+)')
+        self.latex_formula_pattern = re.compile(r'\\[a-zA-Z]+\{.*?\}|\$.*?\$')
+        self.exclusion_keywords = ['例题',  '题目','答案','讲解','练习','新课教授','化简','例','概念辨析']
+
+    def contains_latex_formula(self, string):
+        return bool(self.latex_formula_pattern.search(string))
+
+    def is_formula(self, string):
+        # 规则1：包含等号或者包含LaTeX公式
+        if '=' not in string and not self.contains_latex_formula(string):
+            return False
+        
+        # 规则3：包含“例题”、“题”、“题目”的都不是公式
+        if any(keyword in string for keyword in self.exclusion_keywords):
+            return False
+        
+        # 规则2：只有中文、英文，或者同时包含中文以及英文和数字的肯定不是公式，除非包含LaTeX公式
+        if self.chinese_characters_pattern.search(string) and (
+            self.english_characters_pattern.search(string) or self.digits_pattern.search(string)):
+            if not self.contains_latex_formula(string):
+                return False
+
+        # 规则4：排除简单的表达式
+        if re.match(r'[a-zA-Z]\s*=\s*[a-zA-Z0-9+\-*/^]+', string):
+            return True
+
+        # 通过所有规则检查，返回True
+        return True
+
+# 测试示例
+if __name__ == "__main__":
+    checker = FormulaProcessor()
+    test_strings = [
+        "1．了解二次根式、最简二次根式的概念,理解二次根式的性质 2.了解二次根式(根号下仅限于数)的加、减、乘、除运算法则,会用它们进 行有关的简单四则运算. 一 课时分配 本章教学约需8 课时,具体安排如下: 16.1二次根式2 课时 16.2二次根式的乘除3 课时 16.3二次根式的加减2 课时 小结1课时。",
+        "最简二次根式的概念,理解二次根式的性质",
+        "x^2 + y^2 = z^2",
+        "E = mc^2",
+        "F = ma",
+        'a*b=10',
+        "理解并掌握(\sqrt{a})^{2}=a (a \geq 0)",
+        "本章内容主要有两个部分，它们分别是二次根式的有关概念、性质和二次根 式的四则运算. 本章的第一部分是二次根式的有关概念和性质.教材从两个电视塔的传播 半径之比出发，引入人二次根式的概念.接着根据有理数的算术平方根的意义，顺 理成章地推导出二次根式的两个性质： $\left( \sqrt{a} \right)^{3}=a \left( a \geq 0 \right) \rightarrow \sqrt{a^{3}}=a \left( a \geq 0 \right)$  本章的第二部分是二次根式的四则运算.教材遵循由特殊到一般的规律，由 学生通过分析、概括、交流、归纳等过程,探究得到二次根式的乘除运算法则:  $\sqrt{a}+ \sqrt{b}= \sqrt{ab} \left( a \geq 0,b \geq 0 \right) \text{和} \frac{ \sqrt{a}}{ \sqrt{b}}= \sqrt{ \frac{a}{b}} \left( a \geq 0,b>0 \right)$ .在此基础上，又通过进一步 类比,引出二次根式的加减运算.教材注重知识之间的联系，将乘法公式运用到 二次根式的四则运算中，以简化二次根式的运算"
+        ,
+        '1.直线与抛物线的交点问题 要解决直线与抛物线的位置关系问题，可把直线方程与抛物线方程联 立，消去y（或消去x)得出关于x（或关于y)的一个方程 $ax^{2}+bx+c=0$   $y$ ,其中二 次项系 $a$ 有可能为0，此时直线与抛物线有一个交点. 当二次项系数 $a \neq 0$ 时, $\Delta=b^{2}-4ac$  若△=0,则直线与抛物线没有公共点； 若 $\Delta>0$ ,则直线与抛物线有且只有一个公共点； 若 $\Delta<0$ 则直线与抛物线有两个不同的公共点. 2.弦长问题 设弦的端点为 $A \left( x_{1},y_{1} \right),B \left( x_{2},y_{2} \right)$  (1)一般弦长： $\left| AB \right|= \sqrt{1+k^{2}} \left| x_{1}-x_{2} \right.$ 域| $AB \left| \right.= \sqrt{1+ \frac{1}{k^{2}}} \left| y_{1}-y_{2} \right|$ (其中 k为弦所在直线的斜率） (2)焦点弦长: $\left| AB \right|=x_{1}+x_{2}-p.$  3.中点弦问题 若 $M \left( x_{0},y_{0} \right)$ 是抛物线 $y^{2}=2px \left( p>0 \right)$ 的弦 $AB$ 的中点，则直线 $AB$ 的斜率 为 $k_{AB}= \frac{p}{y_{0}}$'
+        ,
+        '库伦定律表达式：F=k1y2 r2' #:True
+    ]
+
+    results = [checker.is_formula(s) for s in test_strings]
+    print(results)  # [False, False, True, True, True, True, True, True, True]

tasks/textln.py

+import requests
+import json
+from config.config import APP_ID
+from config.config import SECRET_CODE
+
+from loguru import logger
+
+def get_file_content(filePath):
+    with open(filePath, 'rb') as fp:
+        return fp.read()
+
+class TextinOcr(object):
+    def __init__(self):
+        self.host = 'https://api.textin.com'
+
+    def recognize_pdf2md(self, image_path, options=None):
+        """
+        pdf to markdown
+        :param options: request params
+        :param image: file bytes
+        :return: response
+
+        options = {
+            'pdf_pwd': None,
+            'dpi': 144,  # 设置dpi为144
+            'page_start': 0,
+            'page_count': 1000,  # 设置解析的页数为1000页
+            'apply_document_tree': 0,
+            'markdown_details': 1,
+            'page_details': 0,  # 不包含页面细节信息
+            'table_flavor': 'md',
+            'get_image': 'none',
+            'parse_mode': 'scan',  # 解析模式设为scan
+        }
+        """
+        image=get_file_content(image_path)
+        if options==None:
+            options={
+                'table_flavor': 'md',
+                'parse_mode': 'scan',  # 设置解析模式为scan模式
+                'page_details': 1,  # 不包含页面细节
+                'markdown_details': 1,
+                'apply_document_tree': 1,
+                'dpi': 144  # 分辨率设置为144 dpi
+                }
+        url = self.host + '/ai/service/v1/pdf_to_markdown'
+        headers = {
+            'x-ti-app-id': APP_ID,
+            'x-ti-secret-code': SECRET_CODE
+        }
+        
+        response=requests.post(url, data=image, headers=headers, params=options)
+        #logger.info(f'textln response=\n{response}')
+        #logger.info(f'Textln response infos={response}')
+        if response.status_code == 200:
+            time_cost=response.elapsed.total_seconds()
+            result = json.loads(response.text)
+            #logger.info(f'textln_init_infos={result}')
+            logger.info(f'textln response_time_cost={time_cost}\n\ntextln response=\n{result}')
+            return result['result']['markdown'],time_cost,result['result']['detail']
+        else:
+            logger.info('TextinOcr 请求失败 ，错误信息={}'.format(response))
+            return [],'',[]
+
+
+if __name__ == "__main__":
+    # 请登录后前往 “工作台-账号设置-开发者信息” 查看 app-id/app-secret
+    textin = TextinOcr()
+
+    resp ,time_cost= textin.recognize_pdf2md(image_path='/data/wangtengbo/got_ocr2/infer/QQ图片20240926223216.png')
+    print("request time: ", time_cost)
+    print(resp)
+    # result = json.loads(resp.text)
+    # print(result)
+    # with open('./result.json', 'w', encoding='utf-8') as fw:
+    #     json.dump(result, fw, indent=4, ensure_ascii=False)

test.py

+# import re
+
+# def filter_sentences_by_caption(context_info: str, caption_title: str, threshold: float = 0.5):
+#     # 1. 按照句号、问号、感叹号切分句子，并去除空白
+#     sentences = [s.strip() for s in re.split(r'[。！？]', context_info) if s.strip()]
+
+#     # 2. 统计 caption_title 中的所有唯一字符
+#     title_chars = set(caption_title)
+#     total_chars = len(title_chars)
+
+#     # 3. 计算每句中出现的 title 字符比率
+#     filtered = []
+#     for sent in sentences:
+#         # 计算交集字符数
+#         match_count = sum(1 for ch in title_chars if ch in sent)
+#         ratio = match_count / total_chars
+#         # 如果比例超过阈值，则保留
+#         if ratio > threshold:
+#             filtered.append((sent, ratio))
+
+#     return filtered
+
+# # 示例调用
+# txt = "由于他的功力浑厚，画路广阔，所以成就的方面甚多。如在意境开拓之上，他有金蝉脱壳“夺人”之法，同时，他亦服膺“画你最熟悉的”的大原则，画了不少他最亲切的农业社会的亲切图画。如《闻铃心喜图》（28-7）上画一小牧童，身系一铃铛，牵一老牛回家，画上题字云："
+# caption = "图  28-7 近现代  齐白石《闻铃心喜图》"
+
+# results = filter_sentences_by_caption(txt, caption)
+# for sent, ratio in results:
+#     print(f"句子: {sent}\n匹配比例: {ratio:.2f}\n")
+# import re
+# import logging
+
+# # 设置日志
+# logger = logging.getLogger()
+
+# # 示例数据
+# item = {'caption_text': "图 5 显示了…"}  # 示例文本
+
+# #(1) 提取图序    
+# image_id = ''
+# if len(item['caption_text']) > 3:
+#     # 匹配图序：图 K、图K-1、图K-1-2 等，去掉空格
+#     image_id_match = re.findall(r"图\s*\d+(?:-\d+)*", item['caption_text'])
+
+#     # 去掉空格
+#     if image_id_match:
+#         image_id = image_id_match[0].replace(" ", "")  # 输出: 图5 或 图5-7
+#     else:
+#         image_id = ''
+
+#     # 打印或记录日志
+#     logger.info(f'{item["caption_text"]} image_order is {image_id}')
+#     print(f"{image_id}")
+# from config.config import VLM_Match_Context_User_Prompt
+# from tasks.qwen_vl_infer import qwen_vl_infer
+
+# print(VLM_Match_Context_User_Prompt.replace("{{user_text}}","wwadwadwa ").replace("{{caption}}","wwadwadwa "))
+# qwen_match_response=qwen_vl_infer("https://oss.raysgo.com/oss/upload/image/png/777a14d621b3402daa2dbe7fac09d8cf.png",'你是一个图文匹配判断专家。',VLM_Match_Context_User_Prompt.replace("{{user_text}}","wwadwadwa ").replace("{{caption}}","wwadwadwa "))
+# print(qwen_match_response)
+
+
+import re
+
+# 示例文本
+text = """
+匹配结果：不匹配
+
+原因：文本描述为“一颗大树”，而图像中展示的是一个金色的鸟笼，内有一只小鸟，笼子上覆盖着粉色布料。文本与图像内容完全不符。
+
+分析过程：
+1. **观察图像**：图像中有一个金色的鸟笼，笼内有一只小鸟，笼子上覆盖着粉色布料。背景为浅蓝色，没有树木或其他自然元素。
+2. **解析文本**：文本仅提到“一颗大树”，没有关于鸟笼、小鸟或粉色布料的描述。
+3. **对比匹配**：
+   - **实体名称**：图像中的实体是“鸟笼”和“小鸟”，而文本中的实体是“大树”。两者名称完全不同。
+   - **场景环境**：图像场景为室内或简单背景，而文本描述的“大树”通常关联户外自然环境。
+4. **判断标准**：根据上述对比，实体名称和场景环境均不匹配，因此判定为不匹配。
+
+综上所述，文本与图像内容存在根本性差异，故判定为不匹配。
+"""
+
+# 修改后的正则表达式，支持中英文冒号
+pattern = r'### 匹配结果[：:]\s*([^\n]+)\n+### 原因[：:]\s*\n([^\n]+)\n+### 分析过程：\n*'
+
+# 使用 re.search 提取
+match = re.search(pattern, text)
+
+if match:
+    result = match.group(1)  # 匹配结果
+    reason = match.group(2)  # 原因
+
+    print(f"匹配结果: {result}")
+    print(f"原因: {reason}")
+else:
+    print("未能匹配到内容")

tst00.py

+print(123021)
+

utils/Latex_clean_symbols_multi_Match.py

+import re
+
+# 标准化策略1：基础标准化
+def normalize_strategy_1(s: str) -> str:
+    s = s.replace(" ", "").replace("$", "")
+    s = re.sub(r'\\[ ,;!]', '', s)  # 移除 \, \; \! 等
+    s = re.sub(r'\^\{\s*(.*?)\s*\}', r'^\1', s)
+    s = re.sub(r'\_\{\s*(.*?)\s*\}', r'_\1', s)
+    s = s.replace("{", "").replace("}", "")
+    s = s.replace(r'\cdot', '*').replace(r'\times', '*')
+    s = re.sub(r'\\frac\s*\{([^{}]+)\}\s*\{([^{}]+)\}', r'(\1/\2)', s)
+    s = re.sub(r'\\sqrt\s*\{([^{}]+)\}', r'sqrt(\1)', s)
+    s = s.replace(r'\left', '').replace(r'\right', '')
+    s = re.sub(r'\\mathrm|\\mathbf|\\text|\\displaystyle|\\normalfont|\\rm', '', s)
+    s = s.replace("\\", "")
+    return s.strip()
+
+# 标准化策略2：更宽松的标准化
+def normalize_strategy_2(s: str) -> str:
+    s = re.sub(r'\\[a-zA-Z]+', '', s)  # 去掉所有 LaTeX 命令
+    s = re.sub(r'[^a-zA-Z0-9^_*/().]', '', s)  # 保留基本符号
+    return s.strip()
+
+# 标准化策略3：保留部分数学符号
+def normalize_strategy_3(s: str) -> str:
+    s = s.replace(" ", "").replace("$", "")
+    s = re.sub(r'\\frac\s*\{([^{}]+)\}\s*\{([^{}]+)\}', r'(\1/\2)', s)
+    s = re.sub(r'\\sqrt\s*\{([^{}]+)\}', r'sqrt(\1)', s)
+    s = s.replace("\\", "")
+    return s.strip()
+
+# 标准化策略4：完全删除所有 LaTeX 特殊符号，仅保留文字和数字
+def normalize_strategy_4(s: str) -> str:
+    s = re.sub(r'\\[a-zA-Z]+', '', s)  # 去掉所有 LaTeX 命令
+    s = re.sub(r'[{}^_\\]', '', s)  # 去掉特殊符号
+    s = s.replace(" ", "").replace("$", "")
+    return s.strip()
+
+# 主函数
+def normalize_latex_string(s: str, strategy: int) -> str:
+    if strategy == 1:
+        return normalize_strategy_1(s)
+    elif strategy == 2:
+        return normalize_strategy_2(s)
+    elif strategy == 3:
+        return normalize_strategy_3(s)
+    elif strategy == 4:
+        return normalize_strategy_4(s)
+    else:
+        raise ValueError("Invalid normalization strategy")
+
+# 匹配函数
+def latex_match(A: str, B: str) -> bool:
+    for strategy in range(1, 5):  # 尝试所有标准化策略
+        A_norm = normalize_latex_string(A, strategy)
+        B_norm = normalize_latex_string(B, strategy)
+        if A_norm in B_norm:
+            return True
+    return False
+
+# 测试代码
+if __name__ == "__main__":
+    text_B = r"\frac { \sqrt { 8 } } { \sqrt { 2 a } } = \frac { \sqrt { 8 } \cdot \sqrt { 2 a } } { \sqrt { 2 a } \cdot \sqrt { 2 a } } = \frac { 4 \sqrt { a } } { 2 a } = \frac { 2 \sqrt { a } } { a }"
+    text_A = r"'(3)$\\frac { \\sqrt { 8 } } { \\sqrt { 2 a } } = \\frac { \\sqrt { 8 } \\cdot \\sqrt { 2 a } } { \\sqrt { 2 a } \\cdot \\sqrt { 2 a } } = \\frac { 4 \\sqrt { a } } { 2 a } = \\frac { 2 \\sqrt { a } } { a } .$"
+    print(latex_match(text_B, text_A))  # 应该返回 True

utils/Latex_clean_symbols_v3.py

+import re
+
+def normalize_latex_string(s: str) -> str:
+    """标准化 LaTeX 字符串"""
+    s = s.replace(" ", "").replace("$", "")
+    s = re.sub(r'\\[ ,;!]', '', s)  # 移除空白控制符
+    s = re.sub(r'\^\{\s*(.*?)\s*\}', r'^\1', s)  # 处理上标
+    s = re.sub(r'\_\{\s*(.*?)\s*\}', r'_\1', s)  # 处理下标
+    s = s.replace("{", "").replace("}", "")  # 移除花括号
+    s = s.replace(r'\cdot', '*').replace(r'\times', '*')  # 替换乘号
+    s = re.sub(r'\\frac\s*\{([^{}]+)\}\s*\{([^{}]+)\}', r'(\1/\2)', s)  # 处理分数
+    s = re.sub(r'\\sqrt\s*\{([^{}]+)\}', r'sqrt(\1)', s)  # 处理平方根
+    s = s.replace(r'\left', '').replace(r'\right', '')  # 移除 \left 和 \right
+    s = re.sub(r'\\mathrm|\\mathbf|\\text|\\displaystyle|\\normalfont|\\rm', '', s)  # 移除样式命令
+    s = s.replace("\\", "")  # 去除残余的反斜杠
+    s = s.replace("≥", ">=").replace("≤", "<=")  # 标准化符号
+    return s.strip()
+
+def extract_latex(text: str) -> list:
+    """提取文本中的所有 LaTeX 公式"""
+    matches = re.findall(r'\$(.*?)\$', text)
+    return matches
+
+def latex_match(A: str, B: str) -> bool:
+    """检查 A 是否匹配 B 中的任意公式"""
+    # 提取并标准化 B 中的所有公式
+    B_formulas = extract_latex(B)
+    B_norm_formulas = [normalize_latex_string(f) for f in B_formulas]
+    
+    # 标准化 A
+    A_norm = normalize_latex_string(A)
+    
+    # 检查 A 是否匹配任意标准化的公式
+    for formula in B_norm_formulas:
+        if A_norm == formula:
+            return True
+    return False
+
+if __name__ == "__main__":
+    text_B = r"\frac { \sqrt { 8 } } { \sqrt { 2 a } } = \frac { \sqrt { 8 } \cdot \sqrt { 2 a } } { \sqrt { 2 a } \cdot \sqrt { 2 a } } = \frac { 4 \sqrt { a } } { 2 a } = \frac { 2 \sqrt { a } } { a }"
+    text_A = r"'(3)$\\frac { \\sqrt { 8 } } { \\sqrt { 2 a } } = \\frac { \\sqrt { 8 } \\cdot \\sqrt { 2 a } } { \\sqrt { 2 a } \\cdot \\sqrt { 2 a } } = \\frac { 4 \\sqrt { a } } { 2 a } = \\frac { 2 \\sqrt { a } } { a } .$"
+    print(latex_match(text_B, text_A))  # 应该返回 True
+

utils/filter_layout_by_ocr.py

+import re
+import json
+from loguru import logger
+def calculate_iou(inner_box, outer_box):
+    # 提取内部边界框的四个顶点
+    x1, y1 = inner_box[0]
+    x2, y2 = inner_box[1]
+    x3, y3 = inner_box[2]
+    x4, y4 = inner_box[3]
+
+    # 计算内部边界框的最小和最大坐标
+    x_min_inner = min(x1, x2, x3, x4)
+    y_min_inner = min(y1, y2, y3, y4)
+    x_max_inner = max(x1, x2, x3, x4)
+    y_max_inner = max(y1, y2, y3, y4)
+
+    # 提取外部边界框的坐标
+    x_min_outer, y_min_outer, x_max_outer, y_max_outer = outer_box
+
+    # 计算交集的坐标
+    x_min_inter = max(x_min_inner, x_min_outer)
+    y_min_inter = max(y_min_inner, y_min_outer)
+    x_max_inter = min(x_max_inner, x_max_outer)
+    y_max_inter = min(y_max_inner, y_max_outer)
+
+    # 计算交集的宽度和高度
+    inter_width = max(0, x_max_inter - x_min_inter)
+    inter_height = max(0, y_max_inter - y_min_inter)
+
+    # 计算交集面积
+    inter_area = inter_width * inter_height
+
+    # 计算两个边界框的面积
+    inner_area = (x_max_inner - x_min_inner) * (y_max_inner - y_min_inner)
+    outer_area = (x_max_outer - x_min_outer) * (y_max_outer - y_min_outer)
+
+    # 计算并集面积
+    union_area = inner_area + outer_area - inter_area
+
+    # 计算IoU
+    iou = inter_area / union_area if union_area != 0 else 0
+
+    return iou
+
+
+
+def has_intersection(inner_box, outer_box, threshold=0.1):
+    """
+    判断inner_box是否与outer_box有交集（IOU > 0.1）。
+
+    参数:
+    inner_box (list): 内部边界框，格式为[[x1, y1], [x2, y2], [x3, y3], [x4, y4]]
+    outer_box (list): 外部边界框，格式为[x_min, y_min, x_max, y_max]
+    threshold (float): 判断交集的IOU阈值，默认为0.1
+
+    返回:
+    bool: 如果inner_box与outer_box有交集（IOU > threshold）则返回True，否则返回False。
+    """
+    iou = calculate_iou(inner_box, outer_box)
+    return iou > 0
+
+# def perform_re_check(text):
+#     """
+#     检查文本中是否包含公式。
+
+#     参数:
+#     text (str): 要检查的文本
+
+#     返回:
+#     bool: 如果包含公式则返回True，否则返回False。
+#     """
+#     formula_pattern = re.compile(
+#         r"([A-Za-z]+\s*=\s*[A-Za-z0-9+\-*/^()]+)|"  # 一般公式，包含多个运算符或字母
+#         r"(\b√[A-Za-z0-9]+\b)|"                     # 根号
+#         r"(\bΔ\b)|"                                 # Δ
+#         r"(\([A-Za-z0-9+\-*/^()]+\)\s*[+\-*/^]\s*\([A-Za-z0-9+\-*/^()]+\))|"  # 复杂括号表达式
+#         r"([A-Za-z]*\d*[(x)(y)(z)(a)(b)(c)]*\s*[+\-*/^]+\s*\(?[A-Za-z0-9+\-*/^()]+\)?)"  # 公式中的符号运算
+#     )
+#     return bool(formula_pattern.search(text))
+def perform_re_check(text):
+    # 规则1：过滤掉包含仅字母、空格或中文字符的文本
+    if re.fullmatch(r'[\u4e00-\u9fa5a-zA-Z\s]+', text):
+        return False
+    
+    # 规则2：过滤掉不带“=”符号的text
+    if '=' not in text:
+        return False
+    
+    # 规则3：过滤掉表达式和赋值，例如a=5
+    if re.fullmatch(r'[a-zA-Z]+\s*=\s*\d+', text):
+        return False
+    
+    return True
+
+def filter_boxes(ocr_result, layout_result):
+    """
+    过滤排版检测结果，保留下包含公式的边界框。
+
+    参数:
+    ocr_result (dict): OCR识别结果
+    layout_result (dict): 布局检测结果
+
+    返回:
+    list: 过滤后的排版检测结果
+    """
+    logger.info('in filter_boxes!')
+    #layout_data = json.loads(json.loads(layout_result['data'])['Ids_Scores_boxes'])
+    layout_data=layout_result
+    filtered_layout_boxes = []
+    filtered_layout_ocrs=[]
+    for layout_box in layout_data:
+        layout_coordinates = layout_box[2]
+        combined_text = ""
+        for ocr_box in ocr_result['data']:
+            ocr_coordinates = ocr_box[0]
+            ocr_text = ocr_box[1][0]
+            if has_intersection(ocr_coordinates, layout_coordinates):
+                combined_text += ocr_text + " "
+        
+        if perform_re_check(combined_text.strip()):
+            filtered_layout_boxes.append(layout_box)
+            filtered_layout_ocrs.append(combined_text)
+    
+    return filtered_layout_boxes,filtered_layout_ocrs
+
+# # 示例使用
+# ocr_result = {'errorCode': 0, 'msg': '识别成功', 'data': [[[[96.0, 44.0], [569.0, 44.0], [569.0, 64.0], [96.0, 64.0]], ['1.4.1用空间向量研究直线、平面的位置关系（第3课时）', 0.9963806867599487]], [[[238.0, 97.0], [426.0, 97.0], [426.0, 116.0], [238.0, 116.0]], ['空间中直线、平面的垂直', 0.9977184534072876]], [[[73.0, 145.0], [180.0, 145.0], [180.0, 170.0], [73.0, 170.0]], ['知识清单', 0.998611330986023]], [[[105.0, 187.0], [231.0, 187.0], [231.0, 204.0], [105.0, 204.0]], ['1.直线和直线垂直', 0.9975678324699402]], [[[103.0, 213.0], [544.0, 214.0], [544.0, 234.0], [103.0, 233.0]], ['设直线,l的方向向量分别为u,μ,则uuuu=3.', 0.8799490332603455]], [[[104.0, 243.0], [231.0, 243.0], [231.0, 260.0], [104.0, 260.0]], ['2.直线和平面垂直', 0.9996089935302734]], [[[105.0, 269.0], [591.0, 269.0], [591.0, 286.0], [105.0, 286.0]], ['设u是直线l的方向向量，n是平面α的法向量，lα,则lLαu/nA', 0.8951645493507385]], [[[71.0, 296.0], [177.0, 298.0], [177.0, 316.0], [71.0, 314.0]], ['eR,使得ux入n.', 0.871402382850647]], [[[105.0, 325.0], [267.0, 325.0], [267.0, 341.0], [105.0, 341.0]], ['要点3平面和平面垂直', 0.9992749094963074]], [[[103.0, 349.0], [530.0, 351.0], [530.0, 371.0], [103.0, 369.0]], ['设n,n分别是平面α,β的法向量，则α⊥βn,⊥nn*n=1.', 0.8930713534355164]], [[[73.0, 397.0], [179.0, 397.0], [179.0, 421.0], [73.0, 421.0]], ['例题讲评', 0.9989429712295532]], [[[113.0, 441.0], [592.0, 441.0], [592.0, 461.0], [113.0, 461.0]], ['例1如图,已知正三棱柱ABC-A,B,C,的各棱长都为1,M是底面上', 0.9656786918640137]], [[[72.0, 474.0], [309.0, 474.0], [309.0, 490.0], [72.0, 490.0]], ['BC边的中点，V是侧棱CC上的点，', 0.991436243057251]], [[[102.0, 508.0], [162.0, 504.0], [163.0, 525.0], [104.0, 528.0]], ['且CV=', 0.9438493251800537]], [[[175.0, 507.0], [203.0, 510.0], [201.0, 526.0], [174.0, 524.0]], ['CC,', 0.7943589091300964]], [[[161.0, 522.0], [174.0, 522.0], [174.0, 531.0], [161.0, 531.0]], ['4', 0.9967143535614014]], [[[104.0, 544.0], [234.0, 544.0], [234.0, 560.0], [104.0, 560.0]], ['（1)求证：ABLMN;', 0.8688576817512512]], [[[103.0, 568.0], [343.0, 569.0], [343.0, 589.0], [103.0, 588.0]], ['(2)设CC,中点为D,求证：AB,⊥A,D.', 0.8998482823371887]], [[[106.0, 736.0], [589.0, 738.0], [589.0, 758.0], [106.0, 756.0]], ['练习1如图，△ABC和△BCD所在平面互相垂直，且AB=BC=BD=', 0.9863734245300293]], [[[72.0, 773.0], [519.0, 773.0], [519.0, 789.0], [72.0, 789.0]], ['2,ZABC=ZDBC=120°，E，F分别为AC，DC的中点.求证：EF⊥BC.', 0.9168810844421387]]]}
+# layout_result = {'errorCode': 0, 'msg': '识别成功', 'data': '{"Ids_Scores_boxes": "[[[0], 0.5164221525192261, [72.51856621809566, 187.46995484912938, 593.7710048745755, 369.08707769273684]], [[10], 0.4314861297607422, [74.0, 741.0, 589.0, 788.0]], [[1], 0.8855363726615906, [74.0858920888629, 143.8997421042558, 179.57114012112666, 169.70436416413207]], [[1], 0.8849098086357117, [73.6531480480851, 396.0868356459496, 178.90487691988264, 420.96475408517415]], [[1], 0.8246437907218933, [94.7679979762152, 44.78538083893527, 567.6477659821933, 64.29004998079591]], [[1], 0.0, [241.0, 100.0, 425.0, 114.0]], [[0], 0.0, [74.0, 443.0, 592.0, 587.0]]]", "boxes_num": "7"}'}
+
+# filtered_layout_boxes = filter_boxes(ocr_result, layout_result)
+# print(filtered_layout_boxes)

utils/filter_layout_by_ocr_v2.py

+import re
+import json
+
+def calculate_iou(inner_box, outer_box):
+    # 提取内部边界框的四个顶点
+    x1, y1 = inner_box[0]
+    x2, y2 = inner_box[1]
+    x3, y3 = inner_box[2]
+    x4, y4 = inner_box[3]
+
+    # 计算内部边界框的最小和最大坐标
+    x_min_inner = min(x1, x2, x3, x4)
+    y_min_inner = min(y1, y2, y3, y4)
+    x_max_inner = max(x1, x2, x3, x4)
+    y_max_inner = max(y1, y2, y3, y4)
+
+    # 提取外部边界框的坐标
+    x_min_outer, y_min_outer, x_max_outer, y_max_outer = outer_box
+
+    # 计算交集的坐标
+    x_min_inter = max(x_min_inner, x_min_outer)
+    y_min_inter = max(y_min_inner, y_min_outer)
+    x_max_inter = min(x_max_inner, x_max_outer)
+    y_max_inter = min(y_max_inner, y_max_outer)
+
+    # 计算交集的宽度和高度
+    inter_width = max(0, x_max_inter - x_min_inter)
+    inter_height = max(0, y_max_inter - y_min_inter)
+
+    # 计算交集面积
+    inter_area = inter_width * inter_height
+
+    # 计算两个边界框的面积
+    inner_area = (x_max_inner - x_min_inner) * (y_max_inner - y_min_inner)
+    outer_area = (x_max_outer - x_min_outer) * (y_max_outer - y_min_outer)
+
+    # 计算并集面积
+    union_area = inner_area + outer_area - inter_area
+
+    # 计算IoU
+    iou = inter_area / union_area if union_area != 0 else 0
+
+    return iou
+
+
+
+def has_intersection(inner_box, outer_box, threshold=0.1):
+    """
+    判断inner_box是否与outer_box有交集（IOU > 0.1）。
+
+    参数:
+    inner_box (list): 内部边界框，格式为[[x1, y1], [x2, y2], [x3, y3], [x4, y4]]
+    outer_box (list): 外部边界框，格式为[x_min, y_min, x_max, y_max]
+    threshold (float): 判断交集的IOU阈值，默认为0.1
+
+    返回:
+    bool: 如果inner_box与outer_box有交集（IOU > threshold）则返回True，否则返回False。
+    """
+    iou = calculate_iou(inner_box, outer_box)
+    return iou > 0
+
+# def perform_re_check(text):
+#     """
+#     检查文本中是否包含公式。
+
+#     参数:
+#     text (str): 要检查的文本
+
+#     返回:
+#     bool: 如果包含公式则返回True，否则返回False。
+#     """
+#     formula_pattern = re.compile(
+#         r"([A-Za-z]+\s*=\s*[A-Za-z0-9+\-*/^()]+)|"  # 一般公式，包含多个运算符或字母
+#         r"(\b√[A-Za-z0-9]+\b)|"                     # 根号
+#         r"(\bΔ\b)|"                                 # Δ
+#         r"(\([A-Za-z0-9+\-*/^()]+\)\s*[+\-*/^]\s*\([A-Za-z0-9+\-*/^()]+\))|"  # 复杂括号表达式
+#         r"([A-Za-z]*\d*[(x)(y)(z)(a)(b)(c)]*\s*[+\-*/^]+\s*\(?[A-Za-z0-9+\-*/^()]+\)?)"  # 公式中的符号运算
+#     )
+#     return bool(formula_pattern.search(text))
+def perform_re_check(text):
+    # 规则1：过滤掉包含仅字母、空格或中文字符的文本
+    if re.fullmatch(r'[\u4e00-\u9fa5a-zA-Z\s]+', text):
+        return False
+    
+    # 规则2：过滤掉不带“=”符号的text
+    if '=' not in text:
+        return False
+    
+    # 规则3：过滤掉表达式和赋值，例如a=5
+    if re.fullmatch(r'[a-zA-Z]+\s*=\s*\d+', text):
+        return False
+    
+    return True
+def filter_boxes(ocr_result, layout_result):
+    """
+    过滤排版检测结果，保留下包含公式的边界框。
+
+    参数:
+    ocr_result (dict): OCR识别结果
+    layout_result (dict): 布局检测结果
+
+    返回:
+    list: 过滤后的排版检测结果
+    """
+    layout_data = json.loads(json.loads(layout_result['data'])['Ids_Scores_boxes'])
+    filtered_layout_boxes = []
+    filtered_layout_ocrs=[]
+    for layout_box in layout_data:
+        layout_coordinates = layout_box[2]
+        combined_text = ""
+        for ocr_box in ocr_result['data']:
+            ocr_coordinates = ocr_box[0]
+            ocr_text = ocr_box[1][0]
+            if has_intersection(ocr_coordinates, layout_coordinates):
+                combined_text += ocr_text + " "
+        #print(combined_text)
+        if perform_re_check(combined_text.strip()):
+            filtered_layout_boxes.append(layout_box)
+            filtered_layout_ocrs.append(combined_text)
+    
+    return filtered_layout_boxes,filtered_layout_ocrs
+
+# # # # 示例使用
+# ocr_result = {'errorCode': 0, 'msg': '识别成功', 'data': [[[[132.0, 6.0], [487.0, 6.0], [487.0, 23.0], [132.0, 23.0]], ['1.4.2用空间向量研究距离、夹角问题（一）', 0.9909250140190125]], [[[274.0, 57.0], [348.0, 57.0], [348.0, 77.0], [274.0, 77.0]], ['空间距离', 0.9974817037582397]], [[[50.0, 105.0], [158.0, 105.0], [158.0, 130.0], [50.0, 130.0]], ['知识清单', 0.9985876083374023]], [[[83.0, 148.0], [209.0, 148.0], [209.0, 165.0], [83.0, 165.0]], ['1.点到直线的距离', 0.999904215335846]], [[[84.0, 176.0], [395.0, 176.0], [395.0, 192.0], [84.0, 192.0]], ["已知直线l的方向向量是a，点P#l，P'el，则点", 0.8676444292068481]], [[[83.0, 223.0], [236.0, 223.0], [236.0, 240.0], [83.0, 240.0]], ['P到直线l的距离为d：', 0.932934045791626]], [[[270.0, 227.0], [289.0, 227.0], [289.0, 234.0], [270.0, 234.0]], ['DP', 0.7328389883041382]], [[[83.0, 269.0], [438.0, 269.0], [438.0, 286.0], [83.0, 286.0]], ['两条平行直线间的距离可以转化为点到直线的距离，', 0.9892963767051697]], [[[82.0, 297.0], [209.0, 297.0], [209.0, 313.0], [82.0, 313.0]], ['2.点到平面的距离', 0.9998923540115356]], [[[84.0, 323.0], [567.0, 323.0], [567.0, 340.0], [84.0, 340.0]], ['已知AB为平面α的一条斜线段（点A在平面α内）,n为平面α的法向量，', 0.9887251853942871]], [[[47.0, 358.0], [392.0, 360.0], [392.0, 387.0], [47.0, 385.0]], ['则点B到平面α的距离为d=AB|·cos<AB,n)', 0.9637517929077148]], [[[378.0, 351.0], [438.0, 351.0], [438.0, 372.0], [378.0, 372.0]], ['無·n', 0.6339988112449646]], [[[447.0, 365.0], [570.0, 365.0], [570.0, 382.0], [447.0, 382.0]], ['空间中其他距离', 0.9999088644981384]], [[[49.0, 408.0], [85.0, 408.0], [85.0, 427.0], [49.0, 427.0]], ['问题', 0.9955520629882812]], [[[86.0, 435.0], [296.0, 435.0], [296.0, 452.0], [86.0, 452.0]], ['一般都可以转化为点面距问题.', 0.9974074363708496]], [[[49.0, 479.0], [159.0, 479.0], [159.0, 507.0], [49.0, 507.0]], ['例题讲评', 0.9977942109107971]], [[[91.0, 525.0], [571.0, 525.0], [571.0, 545.0], [91.0, 545.0]], ['例1如图，在棱长为2的正方体ABCD-A,B,C,D,中,E是BC的中点，P', 0.9382723569869995]], [[[52.0, 558.0], [286.0, 558.0], [286.0, 575.0], [52.0, 575.0]], ['是AE上的动点，求DP的最小值', 0.9763669371604919]], [[[84.0, 725.0], [570.0, 727.0], [570.0, 748.0], [84.0, 746.0]], ['练习1在长方体0ABC-0,A,B,C,中，0A=2,AB=3,AA,=2,求0,到', 0.887532114982605]], [[[50.0, 759.0], [159.0, 759.0], [159.0, 779.0], [50.0, 779.0]], ['直线AC的距离.', 0.9977055788040161]]]}
+# layout_result = {'errorCode': 0, 'msg': '识别成功', 'data': '{"Ids_Scores_boxes": "[[[1], 0.6768088340759277, [132.82876458235634, 4.867646808112585, 484.25709724895194, 24.110981528087148]], [[1], 0.5721949338912964, [50.41460480158925, 478.7880785462551, 157.3041640894006, 504.33530555645126]], [[1], 0.699893593788147, [53.0, 526.0, 570.0, 576.0]], [[10, 0], 0.6270818710327148, [52.00979196153577, 761.0801100416344, 155.13669618897046, 776.1116098266145]], [[10], 0.0, [86.0, 727.0, 569.0, 747.0]], [[1], 0.8837159276008606, [51.657900767122186, 103.97743590987875, 157.41005498988994, 129.50588956440203]], [[0], 0.0, [50.0, 150.0, 569.0, 451.0]], [[1], 0.0, [276.0, 58.0, 347.0, 76.0]]]", "boxes_num": "8"}'}
+# #print(ocr_result['data'][0])
+# filtered_layout_boxes,filtered_layout_ocrs = filter_boxes(ocr_result, layout_result)
+# print(filtered_layout_ocrs)
+# print(filtered_layout_boxes)
+# # 测试用例

utils/get_batch_base64.py

+import cv2
+import base64
+import numpy as np
+
+def get_base64_from_image(image):
+    """
+    将图像转换为Base64编码。
+
+    :param image: 输入图像的NumPy数组
+    :return: Base64编码的字符串
+    """
+    _, buffer = cv2.imencode('.jpg', image)
+    base64_str = base64.b64encode(buffer).decode('utf-8')
+    return base64_str
+
+def draw_bounding_boxes(image_path, coordinates_list):
+    """
+    在图像上绘制多个红色边框并返回带框图像的Base64编码。
+
+    :param image_path: 图像路径
+    :param coordinates_list: 每个元素为以8个数字表示的四个角坐标，顺序为左上，右上，右下，左下
+    :return: 图像Base64编码的字符串
+    """
+    image = cv2.imread(image_path)
+    if image is None:
+        raise ValueError(f"Failed to read the image file '{image_path}'.")
+
+    for coordinates in coordinates_list:
+        # 解析输入坐标
+        x1, y1, x2, y2, x3, y3, x4, y4 = map(int, coordinates)
+
+        # 计算矩形边界
+        x_min = min(x1, x2, x3, x4)
+        y_min = min(y1, y2, y3, y4)
+        x_max = max(x1, x2, x3, x4)
+        y_max = max(y1, y2, y3, y4)
+
+        # 确保边界不超出图像范围
+        x_min = max(0, x_min)
+        y_min = max(0, y_min)
+        x_max = min(image.shape[1], x_max)
+        y_max = min(image.shape[0], y_max)
+
+        # 绘制红色矩形框 (B, G, R) -> (0, 0, 255)
+        cv2.rectangle(image, (x_min, y_min), (x_max, y_max), (0, 0, 255), 2)
+
+    # 转换为Base64编码
+    return get_base64_from_image(image)
+
+def get_formula_boundingbox_base64_list(return_sub_img_path_results):
+    """
+    根据输入路径和坐标信息，返回每张图像包含红色边框的Base64编码列表。
+
+    :param return_sub_img_path_results: 字典，键为图像路径，值为包含边界框的坐标列表
+    :return: Base64编码的列表
+    """
+    base64_list = []
+
+    for image_path, coordinates_list in return_sub_img_path_results.items():
+        # 在图像上绘制红色框并转换为Base64编码
+        base64_image = draw_bounding_boxes(image_path, coordinates_list)
+        base64_list.append(base64_image)
+
+    return base64_list
+
+# 示例调用
+if __name__ == "__main__":
+    return_sub_img_path_results = {
+        "example_image.jpg": [
+            [100, 50, 200, 50, 200, 150, 100, 150],
+            [300, 200, 400, 200, 400, 300, 300, 300]
+        ]
+    }
+
+    base64_lists = get_formula_boundingbox_base64_list(return_sub_img_path_results)
+    for base64_str in base64_lists:
+        print(base64_str)
\ No newline at end of file

utils/got_ocr_server.py

+import requests
+import time
+
+def ocr_service_request(image_url):
+    """
+    向指定的 OCR 服务发送请求，并返回响应信息。
+
+    参数:
+    - image_url: 图像的 URL 路径
+
+    返回:
+    - response_json: 成功时返回的响应内容（JSON 格式）
+    - elapsed_time: 请求和响应之间的时间（秒）
+    - status_code: 请求的 HTTP 状态码
+    - error_message: 请求失败时的错误消息
+    """
+    
+    # 请求数据
+    data_info = {
+        "url": image_url,
+    }
+    
+    try:
+        # 记录请求开始的时间
+        start_time = time.time()
+        
+        # 发送 POST 请求
+        response = requests.post('http://localhost:8880/v1/got_ocr_markdown_local', json=data_info)
+        
+        # 记录请求结束的时间
+        end_time = time.time()
+        
+        # 计算请求和响应之间的时间
+        elapsed_time = end_time - start_time
+        
+        # 返回请求相关信息
+        if response.status_code == 200:
+            return response.json(), elapsed_time, response.status_code, None
+        else:
+            return None, elapsed_time, response.status_code, response.text
+    
+    except requests.exceptions.RequestException as e:
+        return None, None, None, str(e)
+
+# 调用示例
+if __name__ == "__main__":
+    image_url = '/data/wangtengbo/got_ocr2/infer/demo.png'  # 替换为需要处理的图片路径
+    response_json, elapsed_time, status_code, error_message = ocr_service_request(image_url)
+    
+    if status_code == 200:
+        print(f"Request successful! Time taken: {elapsed_time:.2f} seconds")
+        print("Response content:", response_json)
+    else:
+        print(f"Request failed with status code {status_code}. Error: {error_message}")

utils/kmeans_merge_box.py

+import os
+from datetime import datetime
+import langid
+import numpy as np
+from sklearn.cluster import KMeans
+from collections import Counter
+from loguru import logger
+
+def mkdir_if_not_exist(path):
+    if not os.path.exists(path):
+        os.makedirs(path)
+
+# 获取毫秒级时间
+def get_millisecond_time():
+    current_time = datetime.now()
+    time_str = current_time.strftime("%Y%m%d%H%M%S%f")[:-3]
+    return time_str
+
+def get_lang(text):
+    lang_detect, _ = langid.classify(text.replace('。', ' ').replace('，', ' '))  # 语言检测
+    return 'en' if lang_detect == 'en' else 'zh'
+
+def get_day_time():
+    # 获取当前日期和时间
+    now = datetime.now()
+    # 格式化日期和时间为字符串，格式为 "YYYYMMDD_HH%M%S"
+    formatted_time = now.strftime("%Y%m%d_%H%M%S")
+    return formatted_time
+
+def merge_ver_boxes(formula_positions):
+    def sort_by_y_min(box):
+        return box[2][1]
+
+    formula_positions.sort(key=sort_by_y_min)
+
+    merged_boxes = []
+    current_box = None
+
+    for box in formula_positions:
+        category, confidence, bbox = box
+        x_min, y_min, x_max, y_max = bbox
+
+        if current_box is None:
+            current_box = [category, confidence, bbox]
+        else:
+            curr_x_min, curr_y_min, curr_x_max, curr_y_max = current_box[2]
+
+            if y_min <= curr_y_max:
+                # Merge the boxes
+                merged_bbox = [
+                    min(curr_x_min, x_min),
+                    min(curr_y_min, y_min),
+                    max(curr_x_max, x_max),
+                    max(curr_y_max, y_max)
+                ]
+                current_box[2] = merged_bbox
+            else:
+                # Append the current box to merged_boxes list and start a new current_box
+                merged_boxes.append(current_box)
+                current_box = [category, confidence, bbox]
+
+    if current_box is not None:
+        merged_boxes.append(current_box)
+
+    return merged_boxes
+def merge_hor_boxes(formula_positions):
+    """
+    Merges horizontally overlapping or adjacent bounding boxes.
+
+    Args:
+        formula_positions (list): A list of bounding box data where each item is 
+                                   in the format (category, confidence, [x_min, y_min, x_max, y_max]).
+
+    Returns:
+        list: A list of merged bounding box data in the same format.
+    """
+    def sort_by_x_min(box):
+        return box[2][0]  # Sort by x_min
+
+    # Sort the boxes by their x_min coordinate
+    formula_positions.sort(key=sort_by_x_min)
+
+    merged_boxes = []
+    current_box = None
+
+    for box in formula_positions:
+        category, confidence, bbox = box
+        x_min, y_min, x_max, y_max = bbox
+
+        if current_box is None:
+            current_box = [category, confidence, bbox]
+        else:
+            curr_x_min, curr_y_min, curr_x_max, curr_y_max = current_box[2]
+
+            if x_min <= curr_x_max:  # Check if boxes overlap or are adjacent horizontally
+                # Merge the boxes
+                merged_bbox = [
+                    min(curr_x_min, x_min),
+                    min(curr_y_min, y_min),
+                    max(curr_x_max, x_max),
+                    max(curr_y_max, y_max)
+                ]
+                current_box[2] = merged_bbox
+            else:
+                # Append the current box to merged_boxes list and start a new current_box
+                merged_boxes.append(current_box)
+                current_box = [category, confidence, bbox]
+
+    if current_box is not None:
+        merged_boxes.append(current_box)
+
+    return merged_boxes
+
+def merge_boxes_by_clustering(formula_positions, target_num_boxes=4):
+    # Extract bounding box centers as features for clustering
+    box_centers = np.array([((bbox[0] + bbox[2]) / 2, (bbox[1] + bbox[3]) / 2) for _, _, bbox in formula_positions])
+
+    # Initialize KMeans with the target number of clusters (boxes)
+    kmeans = KMeans(n_clusters=target_num_boxes, random_state=0).fit(box_centers)
+
+    # Assign cluster labels to each bounding box
+    labels = kmeans.labels_
+
+    # Merge bounding boxes based on cluster labels
+    merged_boxes = []
+    for i in range(target_num_boxes):
+        boxes_in_cluster = [formula_positions[j] for j in range(len(formula_positions)) if labels[j] == i]
+
+        # Calculate merged bounding box for each cluster
+        min_x = min([bbox[0] for _, _, bbox in boxes_in_cluster])
+        min_y = min([bbox[1] for _, _, bbox in boxes_in_cluster])
+        max_x = max([bbox[2] for _, _, bbox in boxes_in_cluster])
+        max_y = max([bbox[3] for _, _, bbox in boxes_in_cluster])
+
+        merged_bbox = [min_x, min_y, max_x, max_y]
+        merged_boxes.append((None, None, merged_bbox))  # Replace None with category and confidence if needed
+
+    return merged_boxes
+
+def merge_horizontal_boxes(formula_positions, num_big_boxes):
+    """
+    将给定的公式框从上到下合并成指定数量的大框，并保证这些大框之间没有垂直重叠。
+    
+    参数:
+        formula_positions: List[Tuple[List[int], float, List[float]]]
+            每个公式的位置数据结构为 (category_list, confidence, [x_min, y_min, x_max, y_max])
+        num_big_boxes: int
+            期望最终合并得到的大框数量
+
+    返回:
+        List[Tuple[List[int], float, List[float]]]
+        返回合并后的大框列表，结构与输入相同。
+    """
+    if not formula_positions:
+        return []
+
+    # 按 y_min 排序
+    formula_positions.sort(key=lambda box: box[2][1])
+
+    total = len(formula_positions)
+    group_size = (total + num_big_boxes - 1) // num_big_boxes  # 向上取整分组
+
+    merged_boxes = []
+    for i in range(num_big_boxes):
+        start_idx = i * group_size
+        end_idx = (i + 1) * group_size
+        group = formula_positions[start_idx:end_idx]
+
+        if not group:
+            continue
+        
+        # 合并本组框
+        category = group[0][0]
+        confidence = group[0][1]
+        x_min, y_min, x_max, y_max = group[0][2]
+
+        for j in range(1, len(group)):
+            c, conf, bbox = group[j]
+            # 更新置信度，如取最大值
+            if conf > confidence:
+                confidence = conf
+            
+            gx_min, gy_min, gx_max, gy_max = bbox
+            x_min = min(x_min, gx_min)
+            y_min = min(y_min, gy_min)
+            x_max = max(x_max, gx_max)
+            y_max = max(y_max, gy_max)
+        
+        merged_boxes.append([category, confidence, [x_min, y_min, x_max, y_max]])
+
+    # 确保大框之间无重叠
+    # 假设merged_boxes已按y_min排序（因为我们在分组时就是按排序后的顺序合并的）
+    for i in range(1, len(merged_boxes)):
+        prev_box = merged_boxes[i - 1]
+        curr_box = merged_boxes[i]
+        
+        _, _, [prev_x_min, prev_y_min, prev_x_max, prev_y_max] = prev_box
+        _, _, [curr_x_min, curr_y_min, curr_x_max, curr_y_max] = curr_box
+        
+        # 如果当前框的y_min <= 上一个框的y_max，说明有重叠，需要调整
+        if curr_y_min <= prev_y_max:
+            # 将当前框向下平移，使得curr_y_min = prev_y_max + 1
+            shift = (prev_y_max + 1) - curr_y_min
+            curr_y_min += shift
+            curr_y_max += shift
+            # 更新当前框的坐标
+            curr_box[2] = [curr_x_min, curr_y_min, curr_x_max, curr_y_max]
+
+    return merged_boxes
+
+
+
+def process_formula_positions(formula_positions, target_num_boxes=2):
+    """
+    处理公式位置，合并垂直方向上的框和聚类框，并返回最终的边界框。
+    
+    参数:
+        formula_positions: List[Tuple[List[int], float, List[float]]] 
+            每个公式的位置，由类别、置信度和边界框组成。
+        target_num_boxes: int
+            目标聚类框的数量。
+    
+    返回:
+        List[List[float]]: 合并后的公式边界框列表。
+    """
+    # print(formula_positions)
+    # hor_merges=merge_horizontal_boxes(formula_positions)
+    # logger.info(f'hor_merges={hor_merges}')
+    #合并垂直方向上的框
+    merged_boxes_ver = merge_ver_boxes(formula_positions)
+    #print(len(merged_boxes_ver))
+    merged_boxes_hor=merge_horizontal_boxes(merged_boxes_ver,target_num_boxes)
+    #print(merged_boxes_hor)
+    #print(len(merged_boxes_hor))
+    #merged_boxes_hor = merge_hor_boxes(formula_positions)
+    # if len(formula_positions) < target_num_boxes:
+    #     target_num_boxes = len(formula_positions)
+
+    # # 使用聚类算法合并框，仅保留 target_num_boxes 个框
+    # merged_boxes = merge_boxes_by_clustering(merged_boxes_hor, target_num_boxes=target_num_boxes)
+
+    # 提取合并后的边界框信息
+    formula_boxes = [data[2] for data in merged_boxes_hor]
+    return formula_boxes
+
+import numpy as np
+
+def merge_bounding_boxes(formula_positions):
+    # 转换为NumPy数组
+    positions_array = np.array(formula_positions)
+    
+    # 找到最左、最上、最右、最下的点
+    min_x1 = np.min(positions_array[:, 0])
+    min_y1 = np.min(positions_array[:, 1])
+    max_x2 = np.max(positions_array[:, 2])
+    max_y2 = np.max(positions_array[:, 3])
+    
+    # 返回新的大的边界框
+    return [min_x1, min_y1, max_x2, max_y2]
+    
+if __name__ == "__main__":
+    # 示例
+    formula_positions = [
+        [1, 2, 3, 4],
+        [2, 3, 5, 6],
+        [0, 1, 4, 5]
+    ]
+
+    merged_box = merge_bounding_boxes(formula_positions)
+    print(merged_box)  # 输出：[0, 1, 5, 6]

utils/kmeans_merge_box_v2.py

+import os
+from datetime import datetime
+import langid
+import numpy as np
+from sklearn.cluster import KMeans
+
+def mkdir_if_not_exist(path):
+    """
+    如果目录不存在，则创建目录。
+    
+    参数:
+    path (str): 要创建的目录路径。
+    """
+    if not os.path.exists(path):
+        os.makedirs(path)
+
+def get_millisecond_time():
+    """
+    获取当前时间（精确到毫秒）。
+    
+    返回:
+    str: 格式化的当前时间字符串（精确到毫秒）。
+    """
+    current_time = datetime.now()
+    time_str = current_time.strftime("%Y%m%d%H%M%S%f")[:-3]
+    return time_str
+
+def get_lang(text):
+    """
+    检测给定文本的语言。
+    
+    参数:
+    text (str): 要检测语言的文本。
+    
+    返回:
+    str: 'en' 表示英文，'zh' 表示中文。
+    """
+    lang_detect, _ = langid.classify(text.replace('。', ' ').replace('，', ' '))
+    return 'en' if lang_detect == 'en' else 'zh'
+
+def get_day_time():
+    """
+    获取当前日期和时间的格式化字符串。
+    
+    返回:
+    str: 格式化的当前日期和时间字符串（格式为 "YYYYMMDD_HH%M%S"）。
+    """
+    now = datetime.now()
+    formatted_time = now.strftime("%Y%m%d_%H%M%S")
+    return formatted_time
+
+def merge_ver_boxes(formula_positions):
+    """
+    合并垂直方向上重叠的边界框。
+    
+    参数:
+    formula_positions (list): 包含类别、置信度和边界框的元组列表。
+    
+    返回:
+    list: 合并后的边界框。
+    """
+    def sort_by_y_min(box):
+        return box[2][1]
+
+    formula_positions.sort(key=sort_by_y_min)
+
+    merged_boxes = []
+    current_box = None
+
+    for box in formula_positions:
+        category, confidence, bbox = box
+        x_min, y_min, x_max, y_max = bbox
+
+        if current_box is None:
+            current_box = [category, confidence, bbox]
+        else:
+            curr_x_min, curr_y_min, curr_x_max, curr_y_max = current_box[2]
+
+            if y_min <= curr_y_max:
+                merged_bbox = [
+                    min(curr_x_min, x_min),
+                    min(curr_y_min, y_min),
+                    max(curr_x_max, x_max),
+                    max(curr_y_max, y_max)
+                ]
+                current_box[2] = merged_bbox
+            else:
+                merged_boxes.append(current_box)
+                current_box = [category, confidence, bbox]
+
+    if current_box is not None:
+        merged_boxes.append(current_box)
+
+    return merged_boxes
+
+def merge_hor_boxes(formula_positions):
+    """
+    合并水平方向上重叠的边界框。
+    
+    参数:
+    formula_positions (list): 包含类别、置信度和边界框的元组列表。
+    
+    返回:
+    list: 合并后的边界框。
+    """
+    def sort_by_x_min(box):
+        return box[2][0]
+
+    formula_positions.sort(key=sort_by_x_min)
+
+    merged_boxes = []
+    current_box = None
+
+    for box in formula_positions:
+        category, confidence, bbox = box
+        x_min, y_min, x_max, y_max = bbox
+
+        if current_box is None:
+            current_box = [category, confidence, bbox]
+        else:
+            curr_x_min, curr_y_min, curr_x_max, curr_y_max = current_box[2]
+
+            if x_min <= curr_x_max:
+                merged_bbox = [
+                    min(curr_x_min, x_min),
+                    min(curr_y_min, y_min),
+                    max(curr_x_max, x_max),
+                    max(curr_y_max, y_max)
+                ]
+                current_box[2] = merged_bbox
+            else:
+                merged_boxes.append(current_box)
+                current_box = [category, confidence, bbox]
+
+    if current_box is not None:
+        merged_boxes.append(current_box)
+
+    return merged_boxes
+
+def merge_boxes_by_clustering(formula_positions, target_num_boxes=4):
+    """
+    使用聚类算法合并边界框。
+    
+    参数:
+    formula_positions (list): 包含类别、置信度和边界框的元组列表。
+    target_num_boxes (int): 目标合并成的边界框数量。
+    
+    返回:
+    list: 基于聚类的合并边界框。
+    """
+    box_centers = np.array([((bbox[0] + bbox[2]) / 2, (bbox[1] + bbox[3]) / 2) for _, _, bbox in formula_positions])
+    kmeans = KMeans(n_clusters=target_num_boxes, random_state=0).fit(box_centers)
+    labels = kmeans.labels_
+
+    merged_boxes = []
+    for i in range(target_num_boxes):
+        boxes_in_cluster = [formula_positions[j] for j in range(len(formula_positions)) if labels[j] == i]
+
+        if not boxes_in_cluster:
+            continue
+
+        min_x = min([bbox[0] for _, _, bbox in boxes_in_cluster])
+        min_y = min([bbox[1] for _, _, bbox in boxes_in_cluster])
+        max_x = max([bbox[2] for _, _, bbox in boxes_in_cluster])
+        max_y = max([bbox[3] for _, _, bbox in boxes_in_cluster])
+
+        merged_bbox = [min_x, min_y, max_x, max_y]
+        merged_boxes.append((None, None, merged_bbox))
+
+    return merged_boxes
+
+def process_formula_positionsv2(formula_positions, target_num_boxes=4):
+    """
+    通过合并垂直、水平和聚类框来处理公式位置。
+    
+    参数:
+    formula_positions (list): 包含类别、置信度和边界框的元组列表。
+    target_num_boxes (int): 目标合并成的边界框数量。
+    
+    返回:
+    list: 最终合并的边界框列表。
+    """
+    merged_boxes_ver = merge_ver_boxes(formula_positions)
+    #merged_boxes_hor = merge_hor_boxes(merged_boxes_ver)
+    # print(merged_boxes_ver)
+    # print(merged_boxes_hor)
+    if len(merged_boxes_ver) < target_num_boxes:
+        target_num_boxes = len(merged_boxes_ver)
+
+    merged_boxes = merge_boxes_by_clustering(merged_boxes_ver, target_num_boxes=target_num_boxes)
+    formula_boxes = [data[2] for data in merged_boxes]
+    return formula_boxes
+
+def merge_bounding_boxes(formula_positions):
+    """
+    将多个边界框合并为一个大的边界框。
+    
+    参数:
+    formula_positions (list): 边界框列表。
+    
+    返回:
+    list: 合并后的大边界框。
+    """
+    positions_array = np.array(formula_positions)
+    min_x1 = np.min(positions_array[:, 0])
+    min_y1 = np.min(positions_array[:, 1])
+    max_x2 = np.max(positions_array[:, 2])
+    max_y2 = np.max(positions_array[:, 3])
+    
+    return [min_x1, min_y1, max_x2, max_y2]
+
+
+
+if __name__ == "__main__":
+    formula_positions = [[[6], 0.0, [1609.0, 199.0, 2127.0, 329.0]], [[0], 0.9736799597740173, [225.93232349219818, 1611.367297878681, 2017.0720675821328, 2075.073957172845]], [[0], 0.9499262571334839, [1579.0, 2211.0, 1992.0, 2841.0]], [[1], 0.4914904832839966, [320.0, 2088.0, 739.0, 2161.0]], [[1], 0.4311352074146271, [228.9372284589486, 1553.0413806681088, 726.2493805957434, 1587.8428093167895]], [[1], 0.0, [765.0, 972.0, 842.0, 1011.0]], [[1], 0.0, [778.0, 1329.0, 848.0, 1368.0]], [[1], 0.0, [431.0, 717.0, 634.0, 766.0]], [[1], 0.0, [327.0, 1152.0, 554.0, 1195.0]], [[1], 0.0, [351.0, 1460.0, 735.0, 1506.0]], [[1], 0.0, [1012.0, 517.0, 1352.0, 566.0]], [[0], 0.0, [1059.0, 713.0, 1867.0, 874.0]], [[1], 0.0, [1062.0, 930.0, 1696.0, 962.0]], [[1], 0.0, [1055.0, 1024.0, 1249.0, 1093.0]], [[1], 0.0, [1059.0, 1149.0, 1840.0, 1182.0]], [[1], 0.0, [1095.0, 1247.0, 1980.0, 1345.0]], [[1], 0.0, [1092.0, 1413.0, 1346.0, 1486.0]], [[7], 0.4297367036342621, [1976.0, 2958.0, 2067.0, 2994.0]], [[0], 0.0, [227.0, 2235.0, 1453.0, 2854.0]]]
+    #formula_positions=[data[2] for data in formula_positions]
+    merged_box = process_formula_positions(formula_positions)
+    print(merged_box)  # 输出：[0, 1, 5, 6]

utils/kmeans_merge_boxes_v2.py

+import os
+from datetime import datetime
+import langid
+import numpy as np
+from sklearn.cluster import KMeans
+
+def mkdir_if_not_exist(path):
+    """
+    如果目录不存在，则创建目录。
+    
+    参数:
+    path (str): 要创建的目录路径。
+    """
+    if not os.path.exists(path):
+        os.makedirs(path)
+
+def get_millisecond_time():
+    """
+    获取当前时间（精确到毫秒）。
+    
+    返回:
+    str: 格式化的当前时间字符串（精确到毫秒）。
+    """
+    current_time = datetime.now()
+    time_str = current_time.strftime("%Y%m%d%H%M%S%f")[:-3]
+    return time_str
+
+def get_lang(text):
+    """
+    检测给定文本的语言。
+    
+    参数:
+    text (str): 要检测语言的文本。
+    
+    返回:
+    str: 'en' 表示英文，'zh' 表示中文。
+    """
+    lang_detect, _ = langid.classify(text.replace('。', ' ').replace('，', ' '))
+    return 'en' if lang_detect == 'en' else 'zh'
+
+def get_day_time():
+    """
+    获取当前日期和时间的格式化字符串。
+    
+    返回:
+    str: 格式化的当前日期和时间字符串（格式为 "YYYYMMDD_HH%M%S"）。
+    """
+    now = datetime.now()
+    formatted_time = now.strftime("%Y%m%d_%H%M%S")
+    return formatted_time
+
+def merge_ver_boxes(formula_positions):
+    """
+    合并垂直方向上重叠的边界框。
+    
+    参数:
+    formula_positions (list): 包含类别、置信度和边界框的元组列表。
+    
+    返回:
+    list: 合并后的边界框。
+    """
+    def sort_by_y_min(box):
+        return box[2][1]
+
+    formula_positions.sort(key=sort_by_y_min)
+
+    merged_boxes = []
+    current_box = None
+
+    for box in formula_positions:
+        category, confidence, bbox = box
+        x_min, y_min, x_max, y_max = bbox
+
+        if current_box is None:
+            current_box = [category, confidence, bbox]
+        else:
+            curr_x_min, curr_y_min, curr_x_max, curr_y_max = current_box[2]
+
+            if y_min <= curr_y_max:
+                merged_bbox = [
+                    min(curr_x_min, x_min),
+                    min(curr_y_min, y_min),
+                    max(curr_x_max, x_max),
+                    max(curr_y_max, y_max)
+                ]
+                current_box[2] = merged_bbox
+            else:
+                merged_boxes.append(current_box)
+                current_box = [category, confidence, bbox]
+
+    if current_box is not None:
+        merged_boxes.append(current_box)
+
+    return merged_boxes
+
+def merge_hor_boxes(formula_positions):
+    """
+    合并水平方向上重叠的边界框。
+    
+    参数:
+    formula_positions (list): 包含类别、置信度和边界框的元组列表。
+    
+    返回:
+    list: 合并后的边界框。
+    """
+    def sort_by_x_min(box):
+        return box[2][0]
+
+    formula_positions.sort(key=sort_by_x_min)
+
+    merged_boxes = []
+    current_box = None
+
+    for box in formula_positions:
+        category, confidence, bbox = box
+        x_min, y_min, x_max, y_max = bbox
+
+        if current_box is None:
+            current_box = [category, confidence, bbox]
+        else:
+            curr_x_min, curr_y_min, curr_x_max, curr_y_max = current_box[2]
+
+            if x_min <= curr_x_max:
+                merged_bbox = [
+                    min(curr_x_min, x_min),
+                    min(curr_y_min, y_min),
+                    max(curr_x_max, x_max),
+                    max(curr_y_max, y_max)
+                ]
+                current_box[2] = merged_bbox
+            else:
+                merged_boxes.append(current_box)
+                current_box = [category, confidence, bbox]
+
+    if current_box is not None:
+        merged_boxes.append(current_box)
+
+    return merged_boxes
+
+def merge_boxes_by_clustering(formula_positions, target_num_boxes=4):
+    """
+    使用聚类算法合并边界框。
+    
+    参数:
+    formula_positions (list): 包含类别、置信度和边界框的元组列表。
+    target_num_boxes (int): 目标合并成的边界框数量。
+    
+    返回:
+    list: 基于聚类的合并边界框。
+    """
+    box_centers = np.array([((bbox[0] + bbox[2]) / 2, (bbox[1] + bbox[3]) / 2) for _, _, bbox in formula_positions])
+    kmeans = KMeans(n_clusters=target_num_boxes, random_state=0).fit(box_centers)
+    labels = kmeans.labels_
+
+    merged_boxes = []
+    for i in range(target_num_boxes):
+        boxes_in_cluster = [formula_positions[j] for j in range(len(formula_positions)) if labels[j] == i]
+
+        if not boxes_in_cluster:
+            continue
+
+        min_x = min([bbox[0] for _, _, bbox in boxes_in_cluster])
+        min_y = min([bbox[1] for _, _, bbox in boxes_in_cluster])
+        max_x = max([bbox[2] for _, _, bbox in boxes_in_cluster])
+        max_y = max([bbox[3] for _, _, bbox in boxes_in_cluster])
+
+        merged_bbox = [min_x, min_y, max_x, max_y]
+        merged_boxes.append((None, None, merged_bbox))
+
+    return merged_boxes
+
+def process_formula_positions_v2(formula_positions, target_num_boxes=5):
+    """
+    通过合并垂直、水平和聚类框来处理公式位置。
+    
+    参数:
+    formula_positions (list): 包含类别、置信度和边界框的元组列表。
+    target_num_boxes (int): 目标合并成的边界框数量。
+    
+    返回:
+    list: 最终合并的边界框列表。
+    """
+    #merged_boxes_ver = merge_ver_boxes(formula_positions)
+    merged_boxes_hor = merge_hor_boxes(formula_positions)
+    # print(merged_boxes_ver)
+    # print(merged_boxes_hor)
+    if len(merged_boxes_hor) < target_num_boxes:
+        target_num_boxes = len(merged_boxes_hor)
+
+    merged_boxes = merge_boxes_by_clustering(merged_boxes_hor, target_num_boxes=target_num_boxes)
+    formula_boxes = [data[2] for data in merged_boxes]
+    return formula_boxes
+
+def merge_bounding_boxes(formula_positions):
+    """
+    将多个边界框合并为一个大的边界框。
+    
+    参数:
+    formula_positions (list): 边界框列表。
+    
+    返回:
+    list: 合并后的大边界框。
+    """
+    positions_array = np.array(formula_positions)
+    min_x1 = np.min(positions_array[:, 0])
+    min_y1 = np.min(positions_array[:, 1])
+    max_x2 = np.max(positions_array[:, 2])
+    max_y2 = np.max(positions_array[:, 3])
+    
+    return [min_x1, min_y1, max_x2, max_y2]
+
+
+
+if __name__ == "__main__":
+    formula_positions = [[[6], 0.0, [1609.0, 199.0, 2127.0, 329.0]], [[0], 0.9736799597740173, [225.93232349219818, 1611.367297878681, 2017.0720675821328, 2075.073957172845]], [[0], 0.9499262571334839, [1579.0, 2211.0, 1992.0, 2841.0]], [[1], 0.4914904832839966, [320.0, 2088.0, 739.0, 2161.0]], [[1], 0.4311352074146271, [228.9372284589486, 1553.0413806681088, 726.2493805957434, 1587.8428093167895]], [[1], 0.0, [765.0, 972.0, 842.0, 1011.0]], [[1], 0.0, [778.0, 1329.0, 848.0, 1368.0]], [[1], 0.0, [431.0, 717.0, 634.0, 766.0]], [[1], 0.0, [327.0, 1152.0, 554.0, 1195.0]], [[1], 0.0, [351.0, 1460.0, 735.0, 1506.0]], [[1], 0.0, [1012.0, 517.0, 1352.0, 566.0]], [[0], 0.0, [1059.0, 713.0, 1867.0, 874.0]], [[1], 0.0, [1062.0, 930.0, 1696.0, 962.0]], [[1], 0.0, [1055.0, 1024.0, 1249.0, 1093.0]], [[1], 0.0, [1059.0, 1149.0, 1840.0, 1182.0]], [[1], 0.0, [1095.0, 1247.0, 1980.0, 1345.0]], [[1], 0.0, [1092.0, 1413.0, 1346.0, 1486.0]], [[7], 0.4297367036342621, [1976.0, 2958.0, 2067.0, 2994.0]], [[0], 0.0, [227.0, 2235.0, 1453.0, 2854.0]]]
+    #formula_positions=[data[2] for data in formula_positions]
+    merged_box = process_formula_positions_v2(formula_positions)
+    print(merged_box)  # 输出：[0, 1, 5, 6]

utils/markdown_red.py

+import re
+
+def find_and_highlight_substring(A, B):
+    # 正则表达式匹配B
+    pattern = re.escape(B)
+    
+    # 存储匹配到的内容的起始和结束下标
+    matches = []
+
+    # 处理单个$符号内的内容
+    def single_dollar_replacement(match):
+        start = match.start(1)
+        end = match.end(1)
+        inner_text = match.group(1)
+        highlighted_text = re.sub(pattern, r'<span style="color:red">\g<0></span>', inner_text)
+        matches.append((start, end))
+        return f"${highlighted_text}$"
+
+    # 处理双个$$符号内的内容
+    def double_dollar_replacement(match):
+        start = match.start(1)
+        end = match.end(1)
+        inner_text = match.group(1)
+        highlighted_text = re.sub(pattern, r'<span style="color:red">\g<0></span>', inner_text)
+        matches.append((start, end))
+        return f"$${highlighted_text}$$"
+
+    # 使用正则表达式替换并标记匹配位置
+    highlighted_A = re.sub(r'\$(.*?)\$', single_dollar_replacement, A)
+    highlighted_A = re.sub(r'\$\$(.*?)\$\$', double_dollar_replacement, highlighted_A)
+
+    return highlighted_A, matches
+
+# # 示例
+# A = '# 1.4.1 用空间向量研究直线、平面的位置关系（第3课时）\n\n## 空间中直线、平面的垂直\n\n### 知识清单\n\n1. 直线和直线垂直\n设直线 $l_1, l_2$ 的方向向量分别为 $$u_1, u_2$$，则 $$l_1 \perp l_2 \Leftrightarrow u_1 \cdot u_2 = 0$$。'
+# B = 'l_1 \perp l_2'
+
+# highlighted_A, matches = find_and_highlight_substring(A, B)
+# print("Highlighted A:\n", highlighted_A)
+# print("Matches:", matches)

utils/merge_boxes.py

+import xml.etree.ElementTree as ET
+import cv2
+import random
+
+def parse_xml(file_path):
+    """
+    解析XML文件，提取公式框和文本框的坐标。
+    
+    参数:
+    file_path (str): XML文件路径。
+
+    返回:
+    tuple: 公式框列表和文本框列表，格式为[(xmin, ymin, xmax, ymax), ...]。
+    """
+    tree = ET.parse(file_path)
+    root = tree.getroot()
+
+    formula_boxes = []
+    text_boxes = []
+
+    for obj in root.findall('object'):
+        name = obj.find('name').text
+        xmin = int(obj.find('bndbox/xmin').text)
+        ymin = int(obj.find('bndbox/ymin').text)
+        xmax = int(obj.find('bndbox/xmax').text)
+        ymax = int(obj.find('bndbox/ymax').text)
+        box = (xmin, ymin, xmax, ymax)
+
+        if name == 'formula':
+            formula_boxes.append(box)
+        elif name == 'text':
+            text_boxes.append(box)
+    
+    return formula_boxes, text_boxes
+
+def find_closest_text_boxes(formula_box, text_boxes):
+    """
+    找到给定公式框最近的左、右、上、下文本框。
+
+    参数:
+    formula_box (tuple): 公式框的坐标(xmin, ymin, xmax, ymax)。
+    text_boxes (list): 文本框列表，格式为[(xmin, ymin, xmax, ymax), ...]。
+
+    返回:
+    tuple: 最近的左、右、上、下文本框的坐标，如果没有则为None。
+    """
+    left_text = right_text = top_text = bottom_text = None
+    left_dist = right_dist = top_dist = bottom_dist = float('inf')
+    xmin_f, ymin_f, xmax_f, ymax_f = formula_box
+        
+    for text_box in text_boxes:
+        xmin_t, ymin_t, xmax_t, ymax_t = text_box
+
+        if check_overlap(formula_box, text_box):
+            continue
+
+        if xmax_t < xmin_f and xmin_f - xmax_t < left_dist:
+            left_dist = xmin_f - xmax_t
+            left_text = text_box
+        if xmin_t > xmax_f and xmin_t - xmax_f < right_dist:
+            right_dist = xmin_t - xmax_f
+            right_text = text_box
+        if ymax_t < ymin_f and ymin_f - ymax_t < top_dist:
+            top_dist = ymin_f - ymax_t
+            top_text = text_box
+        if ymin_t > ymax_f and ymin_t - ymax_f < bottom_dist:
+            bottom_dist = ymin_t - ymax_f
+            bottom_text = text_box
+
+    return left_text, right_text, top_text, bottom_text
+
+def calculate_iou(box1, box2):
+    """
+    计算两个框的交并比（IoU）。
+
+    参数:
+    box1 (tuple): 第一个框的坐标(xmin, ymin, xmax, ymax)。
+    box2 (tuple): 第二个框的坐标(xmin, ymin, xmax, ymax)。
+
+    返回:
+    float: 两个框的交并比（IoU）。
+    """
+    xmin1, ymin1, xmax1, ymax1 = box1
+    xmin2, ymin2, xmax2, ymax2 = box2
+
+    # 计算交集坐标
+    inter_xmin = max(xmin1, xmin2)
+    inter_ymin = max(ymin1, ymin2)
+    inter_xmax = min(xmax1, xmax2)
+    inter_ymax = min(ymax1, ymax2)
+
+    # 计算交集面积
+    inter_area = max(0, inter_xmax - inter_xmin + 1) * max(0, inter_ymax - inter_ymin + 1)
+
+    # 计算每个框的面积
+    box1_area = (xmax1 - xmin1 + 1) * (ymax1 - ymin1 + 1)
+    box2_area = (xmax2 - xmin2 + 1) * (ymax2 - ymax2 + 1)
+
+    # 计算并集面积
+    union_area = box1_area + box2_area - inter_area
+
+    # 计算IoU
+    iou = inter_area / union_area
+
+    return iou
+
+def check_overlap(box1, box2, iou_threshold=0.1):
+    """
+    检查两个框是否有重叠，并且重叠的IoU在一定范围内是可以接受的。
+
+    参数:
+    box1 (tuple): 第一个框的坐标(xmin, ymin, xmax, ymax)。
+    box2 (tuple): 第二个框的坐标(xmin, ymin, xmax, ymax)。
+    iou_threshold (float): 可接受的IoU阈值。
+
+    返回:
+    bool: 如果两个框的IoU在可接受范围内则返回True，否则返回False。
+    """
+    iou = calculate_iou(box1, box2)
+    return iou >= iou_threshold
+
+def check_no_overlap_with_others(expanded_box, formula_boxes, current_box):
+    """
+    检查扩展后的框是否与其他公式框重叠。
+
+    参数:
+    expanded_box (tuple): 扩展后的框的坐标(xmin, ymin, xmax, ymax)。
+    formula_boxes (list): 所有公式框的列表。
+    current_box (tuple): 当前正在处理的公式框。
+
+    返回:
+    bool: 如果扩展后的框与其他公式框没有重叠则返回True，否则返回False。
+    """
+    for other_box in formula_boxes:
+        if other_box != current_box and check_overlap(expanded_box, other_box):
+            return False
+    return True
+
+def expand_formula_boxes(formula_boxes, text_boxes):
+    """
+    扩展公式框，使其与最近的文本框融合。
+
+    参数:
+    formula_boxes (list): 公式框列表，格式为[(xmin, ymin, xmax, ymax), ...]。
+    text_boxes (list): 文本框列表，格式为[(xmin, ymin, xmax, ymax), ...]。
+
+    返回:
+    list: 扩展后的公式框列表。
+    """
+    expanded_formula_boxes = []
+
+    for formula_box in formula_boxes:
+        xmin_f, ymin_f, xmax_f, ymax_f = formula_box
+
+        left_text, right_text, top_text, bottom_text = find_closest_text_boxes(formula_box, text_boxes)
+
+        # 扩展左边
+        if left_text:
+            xmin_t, ymin_t, xmax_t, ymax_t = left_text
+            new_xmin_f = xmin_t
+            expanded_box = (new_xmin_f, min(ymin_f, ymin_t), xmax_f, max(ymax_f, ymax_t))
+            if check_no_overlap_with_others(expanded_box, formula_boxes, formula_box):
+                xmin_f = new_xmin_f
+                ymin_f = min(ymin_f, ymin_t)
+                ymax_f = max(ymax_f, ymax_t)
+
+        # 扩展右边
+        if right_text:
+            xmin_t, ymin_t, xmax_t, ymax_t = right_text
+            new_xmax_f = xmax_t
+            expanded_box = (xmin_f, min(ymin_f, ymin_t), new_xmax_f, max(ymax_f, ymax_t))
+            if check_no_overlap_with_others(expanded_box, formula_boxes, formula_box):
+                xmax_f = new_xmax_f
+                ymin_f = min(ymin_f, ymin_t)
+                ymax_f = max(ymax_f, ymax_t)
+
+        # 扩展上边
+        if top_text:
+            xmin_t, ymin_t, xmax_t, ymax_t = top_text
+            new_ymin_f = ymin_t
+            expanded_box = (min(xmin_f, xmin_t), new_ymin_f, max(xmax_f, xmax_t), ymax_f)
+            if check_no_overlap_with_others(expanded_box, formula_boxes, formula_box):
+                ymin_f = new_ymin_f
+                xmin_f = min(xmin_f, xmin_t)
+                xmax_f = max(xmax_f, xmax_t)
+
+        # 扩展下边
+        if bottom_text:
+            xmin_t, ymin_t, xmax_t, ymax_t = bottom_text
+            new_ymax_f = ymax_t
+            expanded_box = (min(xmin_f, xmin_t), ymin_f, max(xmax_f, xmax_t), new_ymax_f)
+            if check_no_overlap_with_others(expanded_box, formula_boxes, formula_box):
+                ymax_f = new_ymax_f
+                xmin_f = min(xmin_f, xmin_t)
+                xmax_f = max(xmax_f, xmax_t)
+
+        expanded_formula_boxes.append((xmin_f, ymin_f, xmax_f, ymax_f))
+
+    return expanded_formula_boxes
+
+def draw_boxes_on_image(image_path, boxes, output_path):
+    """
+    在图像上绘制框并保存结果图像。
+
+    参数:
+    image_path (str): 输入图像的路径。
+    boxes (list): 需要绘制的框的列表，格式为[(xmin, ymin, xmax, ymax), ...]。
+    output_path (str): 保存结果图像的路径。
+    """
+    image = cv2.imread(image_path)
+
+    def random_color():
+        return (random.randint(0, 255), random.randint(0, 255), random.randint(0, 255))
+
+    for box in boxes:
+        xmin, ymin, xmax, ymax = box
+        color = random_color()
+        cv2.rectangle(image, (xmin, ymin), (xmax, ymax), color, 2)
+
+    cv2.imwrite(output_path, image)
+    print(f"扩展后的图像已保存到 {output_path}")
+
+def main(xml_file_path, image_file_path, output_image_path):
+    """
+    主函数，执行XML解析、公式框扩展和绘制框的操作。
+
+    参数:
+    xml_file_path (str): XML文件的路径。
+    image_file_path (str): 输入图像的路径。
+    output_image_path (str): 保存结果图像的路径。
+    """
+    formula_boxes, text_boxes = parse_xml(xml_file_path)
+    expanded_formula_boxes = expand_formula_boxes(formula_boxes, text_boxes)
+    
+    for box in expanded_formula_boxes:
+        print(box)
+    
+    draw_boxes_on_image(image_file_path, expanded_formula_boxes, output_image_path)
+
+if __name__ == "__main__":
+    main('1.xml', '1.png', './expanded_image.png')

utils/obs_upload.py

+import requests
+import os
+import mimetypes
+from typing import Dict, Optional, Union, Tuple
+from urllib.parse import quote
+
+class OBSUploader:
+    def __init__(self, base_url: str = "https://open.5rs.me", auth_token: Optional[str] = None):
+        """
+        Initialize the OBS uploader.
+        
+        Args:
+            base_url: The base URL for the API
+            auth_token: The authorization token for API access
+        """
+        self.base_url = base_url.rstrip('/')
+        self.auth_token = auth_token
+        self.headers = {
+            'Authorization': f'Bearer {auth_token}' if auth_token else None
+        }
+        # Initialize mimetypes
+        mimetypes.init()
+
+    def _get_content_type(self, file_path: Union[str, bytes]) -> Tuple[str, bytes]:
+        """
+        Get content type and file content from file path or bytes.
+        
+        Args:
+            file_path: Path to the file or file content as bytes
+            
+        Returns:
+            Tuple of (content_type, file_content)
+        """
+        if isinstance(file_path, str):
+            if not os.path.exists(file_path):
+                raise FileNotFoundError(f"File not found: {file_path}")
+            content_type, _ = mimetypes.guess_type(file_path)
+            with open(file_path, 'rb') as f:
+                file_content = f.read()
+        else:
+            file_content = file_path
+            # For bytes input, try to detect type from first few bytes
+            content_type = 'application/octet-stream'  # Default content type
+            
+        return content_type or 'application/octet-stream', file_content
+
+    def get_upload_url(self, biz_code: str, object_name: str, content_type: str) -> Dict:
+        """
+        Get a temporary upload URL for the specified object.
+        
+        Args:
+            biz_code: Business code for the upload
+            object_name: Name/path of the object to upload
+            content_type: MIME type of the file
+            
+        Returns:
+            Dict containing the upload URL and related information
+        """
+        endpoint = f"{self.base_url}/aimodel/v1.0/obs/getCreatePostSignature"
+        params = {
+            'bizCode': biz_code,
+            'objectName': object_name,
+            'mimeType': content_type
+        }
+        
+        response = requests.get(endpoint, params=params, headers=self.headers)
+        response.raise_for_status()
+        return response.json()
+
+    def upload_file(self, file_path: Union[str, bytes], biz_code: str, object_name: str) -> Dict:
+        """
+        Upload a file using temporary credentials.
+        
+        Args:
+            file_path: Path to the file to upload or file content as bytes
+            biz_code: Business code for the upload
+            object_name: Name/path of the object to upload
+            
+        Returns:
+            Dict containing the upload result and file URL
+        """
+        # Get content type and file content
+        content_type, file_content = self._get_content_type(file_path)
+        
+        # Get temporary upload URL with content type
+        upload_info = self.get_upload_url(biz_code, object_name, content_type)
+        
+        if upload_info['errCode'] != 0:
+            raise Exception(f"Failed to get upload URL: {upload_info['message']}")
+        
+        upload_url = upload_info['data']['temporarySignatureUrl']
+        
+        # Upload the file with the correct content type
+        headers = {
+            'Content-Type': content_type,
+            'Content-Length': str(len(file_content))
+        }
+        
+        response = requests.put(upload_url, data=file_content, headers=headers)
+        response.raise_for_status()
+        
+        return {
+            'success': True,
+            'file_url': upload_info['data']['domain'] + '/' + object_name,
+            'object_url_map': upload_info['data']['objectUrlMap']
+        }
+
+# Example usage:
+if __name__ == "__main__":
+    # Initialize uploader
+    uploader = OBSUploader(auth_token="dcg-4c1e3a7f4fcd415e8c93151ff539d20a")
+    
+    # Upload a file
+    try:
+        result = uploader.upload_file(
+            file_path="/data/wangtengbo/formula_node4_生产/logs/2025-06-06/draw_box_sub_images/0a9fb8f899c74d979c7dce58f61ff00e/formula_1.png",
+            biz_code="formula",
+            object_name="image/test.jpg"
+        )
+        print(result)
+        print(f"File uploaded successfully! URL: {result['file_url']}")
+    except Exception as e:
+        print(f"Upload failed: {str(e)}") 
\ No newline at end of file

utils/parse_latex2img.py

+import matplotlib.pyplot as plt
+import matplotlib as mpl
+
+# 设置 LaTeX 渲染
+mpl.rcParams['text.usetex'] = True
+mpl.rcParams['font.size'] = 12
+
+# LaTeX 公式
+latex_formula = r'$a \perp b \Leftrightarrow a \cdot b = 0$'
+
+# 创建一个图形和轴
+fig, ax = plt.subplots()
+
+# 隐藏轴
+ax.axis('off')
+
+# 显示 LaTeX 公式
+ax.text(0.5, 0.5, latex_formula, fontsize=20, ha='center', va='center')
+
+# 保存图形为图像
+output_image_path = "latex_formula.png"
+plt.savefig(output_image_path, bbox_inches='tight')
+
+# 显示图像
+plt.show()

utils/test.py

+import re
+from sympy.parsing.latex import parse_latex
+
+def parse_and_normalize_latex(latex_str):
+    """
+    使用 sympy 解析 LaTeX 并标准化表达式。
+
+    :param latex_str: LaTeX 表达式字符串
+    :return: 标准化后的字符串表示
+    """
+    try:
+        expr = parse_latex(latex_str)
+        return str(expr)
+    except Exception as e:
+        print(f"Error parsing LaTeX: {e}")
+        return None
+
+def extract_and_normalize_formulas(text):
+    """
+    从文本中提取公式并标准化。
+
+    :param text: 包含公式的文本
+    :return: 标准化后的公式列表
+    """
+    formulas = []
+    # 提取 LaTeX 公式
+    latex_matches = re.findall(r'\\[a-zA-Z]+|\\frac|\\sqrt|[A-Za-z]+=|\\[A-Za-z0-9]+', text)
+    for match in latex_matches:
+        normalized = parse_and_normalize_latex(match)
+        if normalized:
+            formulas.append(normalized)
+    return formulas
+
+def check_formula_in_text(target_formula, text):
+    """
+    判断目标公式是否存在于文本中。
+
+    :param target_formula: LaTeX 表达式的目标公式
+    :param text: 包含公式的目标文本
+    :return: True 如果目标公式在文本中，否则 False
+    """
+    normalized_target_formula = parse_and_normalize_latex(target_formula)
+    if not normalized_target_formula:
+        return False
+
+    normalized_formulas_in_text = extract_and_normalize_formulas(text)
+    return normalized_target_formula in normalized_formulas_in_text
+def process_text(text):
+    """
+    去除文本中的所有空行，并按照换行符进行分割。
+    
+    :param text: 输入的多行字符串
+    :return: 去除空行后按 \n 分割的列表
+    """
+    # 去除空行
+    non_empty_lines = [r'{}'.format(line) for line in text.splitlines() if line.strip()]
+    
+    return non_empty_lines
+
+def Scan_Content_Aggregation(all_page_details):
+    
+   
+    all_lines_info=process_text(all_page_details)
+    print(all_lines_info)
+    #all_results_markdown=[line for line in all_lines_info if is_break(line) and check_numbers_in_string(line)]
+    
+    #all_page_details=[[{},{}],[{},{}]]
+    #过滤内容
+    # print(all_lines_info)
+    # for line in all_lines_info:
+        
+    #     if not is_break(line):
+    #         continue
+    #     if not check_numbers_in_string(line):
+    #         continue
+    #     all_results_markdown.append(line)
+    
+    return ''
+# 测试案例
+if __name__ == "__main__":
+    original_text="""
+
+**（多媒体展示）填空：**
+
+(1)$\sqrt { 4 } \times \sqrt { 9 } =$ ,$\sqrt { 4 \times 9 } =$ ;
+
+(2)$\sqrt { 2 5 } \times \sqrt { 1 6 } =$ ,$\sqrt { 2 5 \times 1 6 } =$ ;
+
+(3)$\sqrt { \frac { 1 } { 9 } } \times \sqrt { 3 6 } =$ ,
+
+$\sqrt { \frac { 1 } { 9 } \times 3 6 } =$ ;
+
+(4)$\sqrt { 1 0 0 } \times \sqrt { 0 } =$ ,$\sqrt { 1 0 0 \times 0 } =$
+
+生：(1)$\sqrt { 4 } \times \sqrt { 9 } = 6$,$\sqrt { 4 \times 9 } = 6$;(2)$\sqrt { 2 5 } \times \sqrt { 1 6 } = 2 0$,$\sqrt { 2 5 \times 1 6 } = 2 0 ; ( 3 ) \sqrt { \frac { 1 } { 9 } }$
+
+$\times \sqrt { 3 6 } = 2$ $\sqrt { \frac { 1 } { 9 } } \times 3 6 = 2 ;$ $; ( 4 ) \sqrt { 1 0 0 } \times \sqrt { 0 } = 0$,$\sqrt { 1 0 0 \times 0 } = 0 .$·
+
+试一试，参考上面的结果，比较各组等式的大小关系.
+
+生：上面各组中两个算式的结果相等.
+
+## 二、新课教授
+
+$\because x > 0, \therefore x = 30 \sqrt{2}.$
+
+
+【例4】若$\frac { \sqrt { x + 1 } } { \sqrt { x - 1 } } = \sqrt { \frac { x + 1 } { x - 1 } }$成立，求x的取值范围.
+
+分析：等式$\frac { \sqrt { a } } { \sqrt { b } } = \sqrt { \frac { a } { b } }$只有a≥0,b>0时才能成立.
+
+解：由题意，得$\{ \begin{matrix} x + 1 \geq 0 \\ x - 1 > 0 \end{matrix} ,$即$\{ \begin{matrix} x \geq - 1 , \\ x > 1 . \end{matrix}$
+
+∴x>1.
+
+## 四、巩固练习
+
+
+（2）首先利用$\sqrt { a ^ { 3 } } = \vert a \vert$化简去掉二次根号，再根据x的范围来判断绝对值中的代数式的正负，去掉绝对值符号.
+
+$\vert x - 2 \vert + \sqrt { ( x + 3 ) ^ { 2 } } + \sqrt { x ^ { 2 } - 10 x + 25 }$
+
+=|x-2|+|x+3|+|x-5|·
+
+∵-3≤x≤2,
+
+∴x-2≤0,$\textcircled { 3 }$x+3≥0,,x-5<0.
+
+∴原式=-(x-2)+(x+3)-(x-5)
+
+=-x+2+x+3-x+5
+"""
+    cleaned_text = Scan_Content_Aggregation(original_text)
+    print(cleaned_text)
+

utils/visualization.py

+import base64
+from PIL import Image
+from io import BytesIO
+import cv2
+import numpy as np
+import matplotlib.pyplot as plt
+
+def get_base64_from_image(image):
+    """
+    将输入的图像转换为Base64编码的字符串。
+    
+    :param image: 输入图像（OpenCV格式）
+    :return: Base64编码的字符串
+    """
+    # 将图像转换为PIL格式
+    pil_image = Image.fromarray(cv2.cvtColor(image, cv2.COLOR_BGR2RGB))
+    
+    # 使用BytesIO将图像保存到内存中的字节流
+    buffered = BytesIO()
+    pil_image.save(buffered, format="PNG")
+    
+    # 获取字节流并进行Base64编码
+    img_str = base64.b64encode(buffered.getvalue()).decode('utf-8')
+    
+    return img_str
+
+def get_subimage_base64(image_path, coordinates, scale_factor=1):
+    """
+    提取子图并返回其Base64编码的字符串。
+    
+    :param image_path: 输入图像路径（可以是图像文件或PDF文件）
+    :param coordinates: 以8个数字表示的四个角坐标，顺序为左上，右上，右下，左下
+    :param scale_factor: 如果输入为PDF，scale_factor 用于将坐标从72dpi转换为目标图像的像素坐标（默认为1，无需转换）
+    :return: Base64编码的子图
+    """
+
+    image = cv2.imread(image_path)
+    if image is None:
+        raise ValueError(f"Failed to read the image file '{image_path}'.")
+
+    # 获取图像的尺寸
+    height, width = image.shape[:2]
+    
+    # 解析输入坐标
+    x1, y1, x2, y2, x3, y3, x4, y4 = map(int, coordinates)
+
+    # 计算裁剪区域的矩形边界
+    x_min = min(x1, x2, x3, x4)
+    y_min = min(y1, y2, y3, y4)
+    x_max = max(x1, x2, x3, x4)
+    y_max = max(y1, y2, y3, y4)
+
+    # 确保裁剪区域不超出图像边界
+    x_min = max(0, x_min)
+    y_min = max(0, y_min)
+    x_max = min(width, x_max)
+    y_max = min(height, y_max)
+
+    # 提取ROI
+    roi = image[y_min:y_max, x_min:x_max]
+    
+    # 如果子图为空，抛出异常
+    if roi.size == 0:
+        raise ValueError(f"The extracted region is empty for the given coordinates: {coordinates}")
+
+    # 将提取的子图转换为Base64编码并返回
+    return get_base64_from_image(roi)
+
+
+def visualize_base64_image(base64_str, output_path=None):
+    """
+    可视化Base64编码的图像，并使用cv2存储图像。
+    
+    :param base64_str: Base64编码的图像字符串
+    :param output_path: 可选的输出路径，如果提供则使用cv2保存图像到文件
+    """
+    # 解码Base64编码为图像字节流
+    img_data = base64.b64decode(base64_str)
+    
+    # 使用BytesIO将字节流读取为PIL图像
+    img = Image.open(BytesIO(img_data))
+    
+    # 将PIL图像转换为OpenCV格式（BGR）
+    open_cv_image = np.array(img)
+    open_cv_image = open_cv_image[:, :, ::-1]  # 从RGB转为BGR
+    
+    # 使用cv2保存图像，如果指定了输出路径
+    if output_path:
+        cv2.imwrite(output_path, open_cv_image)
+        print(f"Image saved to: {output_path}")
+
+
+if __name__ == '__main__':
+    # 示例：图像坐标为 (left, upper, right, lower)
+    image_path = "/data/wangtengbo/Deployments_Formula_Checker_v5_复现并微调_v7.0-合和OCR-没有版面/app/logs_data/sub_images/20241210142852866/formula_1.png"
+    coordinates = [74, 143, 1240, 143, 1240, 241, 74, 241]
+    
+    # 获取子图的Base64编码
+    base64_subimage = get_subimage_base64(image_path, coordinates)
+   
+    
+    # 可视化Base64编码的子图
+    visualize_base64_image(base64_subimage,output_path='/data/wangtengbo/Deployments_Formula_Checker_v5_复现并微调_v7.0-合和OCR-没有版面/app/utils/base64.jpg')

utils/visualization_redBoxes.py

+import base64
+from PIL import Image
+from io import BytesIO
+import cv2
+import numpy as np
+import cv2
+import numpy as np
+import os
+from loguru import logger
+
+def draw_box_and_save(image_path, coordinates, draw_box_sub_img_save_dir,save_img_name,scale_factor=1):
+    """
+    在图像上绘制多边形框并保存回原路径，返回图像路径。
+
+    :param image_path: 输入图像路径
+    :param coordinates: 以8个数字表示的四个角坐标，顺序为左上、右上、右下、左下
+    :param scale_factor: 可选的缩放因子（若不需要则默认为1）
+    :return: 保存后的图像路径（即 image_path）
+    """
+    # 读取图像
+
+    image = cv2.imread(image_path)
+    if image is None:
+        raise ValueError(f"无法读取图像文件: {image_path}")
+
+    # 解析坐标并应用缩放
+    x1, y1, x2, y2, x3, y3, x4, y4 = map(float, coordinates)
+    x1, y1, x2, y2, x3, y3, x4, y4 = [int(c * scale_factor) for c in (x1, y1, x2, y2, x3, y3, x4, y4)]
+
+    # 构造多边形顶点数组
+    pts = np.array([[x1, y1],
+                    [x2, y2],
+                    [x3, y3],
+                    [x4, y4]], dtype=np.int32).reshape((-1, 1, 2))
+
+    # 在图像上绘制红色多边形框
+    cv2.polylines(image, [pts], isClosed=True, color=(0, 0, 255), thickness=8)
+    save_image_path=os.path.join(draw_box_sub_img_save_dir,save_img_name+'.png')
+    # 保存覆盖原图
+    success = cv2.imwrite(save_image_path, image)
+    if not success:
+        logger.info(f'保存图像错误！\n\nsave_image_path={save_image_path}')
+        raise IOError(f"无法将图像保存到: {save_image_path}")
+
+    return save_image_path
+def get_base64_from_image(image):
+    """
+    将输入的图像转换为Base64编码的字符串。
+
+    :param image: 输入图像（OpenCV格式）
+    :return: Base64编码的字符串
+    """
+    # 将图像转换为PIL格式
+    pil_image = Image.fromarray(cv2.cvtColor(image, cv2.COLOR_BGR2RGB))
+
+    # 使用BytesIO将图像保存到内存中的字节流
+    buffered = BytesIO()
+    pil_image.save(buffered, format="PNG")
+
+    # 获取字节流并进行Base64编码
+    img_str = base64.b64encode(buffered.getvalue()).decode('utf-8')
+
+    return img_str
+
+def get_subimage_base64_boxes(image_path, coordinates, scale_factor=1):
+    """
+    提取子图并返回其Base64编码的字符串。
+
+    :param image_path: 输入图像路径（可以是图像文件或PDF文件）
+    :param coordinates: 以8个数字表示的四个角坐标，顺序为左上，右上，右下，左下
+    :param scale_factor: 如果输入为PDF，scale_factor 用于将坐标从72dpi转换为目标图像的像素坐标（默认为1，无需转换）
+    :return: Base64编码的子图
+    """
+
+    image = cv2.imread(image_path)
+    if image is None:
+        raise ValueError(f"Failed to read the image file '{image_path}'.")
+
+    # 获取图像的尺寸
+    height, width = image.shape[:2]
+
+    # 解析输入坐标
+    x1, y1, x2, y2, x3, y3, x4, y4 = map(int, coordinates)
+
+    # 计算矩形边界的顶点
+    pts = np.array([[x1, y1], [x2, y2], [x3, y3], [x4, y4]], np.int32)
+    pts = pts.reshape((-1, 1, 2))
+
+    # 在图像上绘制红色边框
+    image_with_box = image.copy()
+    cv2.polylines(image_with_box, [pts], isClosed=True, color=(0, 0, 255), thickness=8)
+
+    # 将修改后的图像转换为Base64编码并返回
+    return get_base64_from_image(image_with_box)
+
+def visualize_base64_image(base64_str, output_path=None):
+    """
+    可视化Base64编码的图像，并使用cv2存储图像。
+
+    :param base64_str: Base64编码的图像字符串
+    :param output_path: 可选的输出路径，如果提供则使用cv2保存图像到文件
+    """
+    # 解码Base64编码为图像字节流
+    img_data = base64.b64decode(base64_str)
+
+    # 使用BytesIO将字节流读取为PIL图像
+    img = Image.open(BytesIO(img_data))
+
+    # 将PIL图像转换为OpenCV格式（BGR）
+    open_cv_image = np.array(img)
+    open_cv_image = open_cv_image[:, :, ::-1]  # 从RGB转为BGR
+
+    # 使用cv2保存图像，如果指定了输出路径
+    if output_path:
+        cv2.imwrite(output_path, open_cv_image)
+        print(f"Image saved to: {output_path}")
+
+if __name__ == '__main__':
+    # 示例：图像坐标为 (left, upper, right, lower)
+    image_path = "/data/wangtengbo/Deployments_Formula_Checker_v5_复现并微调_v7.0-合和OCR-没有版面/app/logs_data/sub_images/20241214164802726/formula_1.png"
+    coordinates = [55, 1476, 3659, 1510, 3645, 3070, 41, 3042]
+
+    # 获取添加红色边界框的图像的Base64编码
+    base64_image_with_box = get_subimage_base64_boxes(image_path, coordinates)
+
+    # 可视化Base64编码的图像
+    visualize_base64_image(base64_image_with_box, output_path='/data/wangtengbo/Deployments_Formula_Checker_v5_复现并微调_v7.0-合和OCR-没有版面/app/utils/image_with_box.jpg')