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1. 发明授权

US07561737B2 Mathematical expression recognition 有权
标题翻译：数学表达式识别
公开(公告)号：US07561737B2
公开(公告)日：2009-07-14
申请号：US11155604
申请日：2005-06-20
申请人： Yu Zou , Lei Huang , Mingqing Xu , Jian-Lai Zhou , Yue Li , Dongmei Zhang , Xiaohui Hou , Wenli Zhu , Hongyun Yang , Xianfang Wang , Jiang Wu , Jian Wang
发明人： Yu Zou , Lei Huang , Mingqing Xu , Jian-Lai Zhou , Yue Li , Dongmei Zhang , Xiaohui Hou , Wenli Zhu , Hongyun Yang , Xianfang Wang , Jiang Wu , Jian Wang
IPC分类号： G06K9/18
CPC分类号： G06K9/222
摘要： A mechanism for recognizing and inputting handwritten mathematical expressions into a computer by providing a multi-path framework is described. The framework may include symbol grouping and recognition, tabular structure analysis, subordinate sub-expression analysis, subscript/superscript analysis and character determination, and semantic structure analysis components. A method for recognizing a handwritten mathematical expression includes receiving a plurality of input strokes corresponding to a handwritten mathematical expression and providing a candidate list of recognized candidate expressions based upon the input strokes. Input strokes are grouped into symbols, tabular structures are determined, dominant symbol candidates and subordinate symbols are determined, and subscript and superscript structures are determined.
摘要翻译：描述了通过提供多路径框架来将手写数学表达式识别并输入到计算机中的机制。框架可以包括符号分组和识别，表格结构分析，从属子表达分析，下标/上标分析和字符确定，以及语义结构分析组件。用于识别手写数学表达式的方法包括接收与手写数学表达式相对应的多个输入笔画，并且基于输入的笔画提供所识别的候选表达的候选列表。输入笔划分为符号，确定表格结构，确定主要符号候选和下级符号，并确定下标和上标结构。

2. 发明申请

US20060062466A1 Mathematical expression recognition 有权
公开(公告)号：US20060062466A1
公开(公告)日：2006-03-23
申请号：US11155604
申请日：2005-06-20
申请人： Yu Zou , Lei Huang , Mingqing Xu , Jian-Lai Zhou , Yue Li , Dongmei Zhang , Xiaohui Hou , Wenli Zhu , Hongyun Yang , Xianfang Wang , Jiang Wu , Jian Wang
发明人： Yu Zou , Lei Huang , Mingqing Xu , Jian-Lai Zhou , Yue Li , Dongmei Zhang , Xiaohui Hou , Wenli Zhu , Hongyun Yang , Xianfang Wang , Jiang Wu , Jian Wang
IPC分类号： G06K9/18
CPC分类号： G06K9/222
摘要： A mechanism for recognizing and inputting handwritten mathematical expressions into a computer by providing a multi-path framework is described. The framework may include symbol grouping and recognition, tabular structure analysis, subordinate sub-expression analysis, subscript/superscript analysis and character determination, and semantic structure analysis components. A method for recognizing a handwritten mathematical expression includes receiving a plurality of input strokes corresponding to a handwritten mathematical expression and providing a candidate list of recognized candidate expressions based upon the input strokes. Input strokes are grouped into symbols, tabular structures are determined, dominant symbol candidates and subordinate symbols are determined, and subscript and superscript structures are determined.

3. 发明授权

US07561738B2 Symbol grouping and recognition in expression recognition 有权
标题翻译：表达识别中的符号分组和识别
公开(公告)号：US07561738B2
公开(公告)日：2009-07-14
申请号：US11155614
申请日：2005-06-20
申请人： Yu Zou , Lei Huang , Jian-Lai Zhou , Mingqing Xu , Yue Li , Xiaohui Hou , Dongmei Zhang , Jian Wang
发明人： Yu Zou , Lei Huang , Jian-Lai Zhou , Mingqing Xu , Yue Li , Xiaohui Hou , Dongmei Zhang , Jian Wang
IPC分类号： G06K9/18
CPC分类号： G06K9/222
摘要： A mechanism for recognizing and inputting handwritten mathematical expressions into a computer by providing a part of a multi-path framework is described. The part of the multi-path framework includes a symbol grouping and recognition component that is designed to group input strokes that correspond to a handwritten mathematical expression into a symbol and to recognize the symbol based upon information associated with the grouped input strokes. A method for grouping and recognizing symbols of a handwritten mathematical expression includes receiving a plurality of input strokes corresponding to a handwritten mathematical expression, grouping the plurality of input strokes into symbols, recognizing the symbols based upon information, such as shape and time series information, associated with the grouped input strokes. Intra-group and inter-group information associated with the plurality of input strokes may be utilized to group the input strokes.
摘要翻译：描述了通过提供多路径框架的一部分来将手写数学表达式识别并输入到计算机中的机制。多路径框架的一部分包括符号分组和识别组件，其被设计为将对应于手写数学表达式的输入笔划分组到符号中，并且基于与分组的输入笔画相关联的信息来识别符号。一种用于分组和识别手写数学表达符号的方法包括：接收与手写数学表达式对应的多个输入笔画，将多个输入笔划分组成符号，基于诸如形状和时间序列信息的信息识别符号，与分组的输入笔画相关联。可以利用与多个输入笔画相关联的组内和组间信息来对输入笔画进行分组。

4. 发明申请

US20060062467A1 Symbol grouping and recognition in expression recognition 有权
公开(公告)号：US20060062467A1
公开(公告)日：2006-03-23
申请号：US11155614
申请日：2005-06-20
申请人： Yu Zou , Lei Huang , Jian-Lai Zhou , Mingqing Xu , Yue Li , Xiaohui Hou , Dongmei Zhang , Jian Wang
发明人： Yu Zou , Lei Huang , Jian-Lai Zhou , Mingqing Xu , Yue Li , Xiaohui Hou , Dongmei Zhang , Jian Wang
IPC分类号： G06K9/18
CPC分类号： G06K9/222
摘要： A mechanism for recognizing and inputting handwritten mathematical expressions into a computer by providing a part of a multi-path framework is described. The part of the multi-path framework includes a symbol grouping and recognition component that is designed to group input strokes that correspond to a handwritten mathematical expression into a symbol and to recognize the symbol based upon information associated with the grouped input strokes. A method for grouping and recognizing symbols of a handwritten mathematical expression includes receiving a plurality of input strokes corresponding to a handwritten mathematical expression, grouping the plurality of input strokes into symbols, recognizing the symbols based upon information, such as shape and time series information, associated with the grouped input strokes. Intra-group and inter-group information associated with the plurality of input strokes may be utilized to group the input strokes.

5. 发明授权

US07561739B2 Analyzing scripts and determining characters in expression recognition 有权
标题翻译：分析脚本并确定表达式识别中的字符
公开(公告)号：US07561739B2
公开(公告)日：2009-07-14
申请号：US11155748
申请日：2005-06-20
申请人： Mingqing Xu , Yu Zou , Lei Huang , Jian-Lai Zhou , Xianfang Wang , Xiaohui Hou , Dongmei Zhang , Zhouchen Lin , Jian Wang
发明人： Mingqing Xu , Yu Zou , Lei Huang , Jian-Lai Zhou , Xianfang Wang , Xiaohui Hou , Dongmei Zhang , Zhouchen Lin , Jian Wang
IPC分类号： G06K9/18
CPC分类号： G06K9/222
摘要： A mechanism for recognizing and inputting handwritten mathematical expressions into a computer by providing part of a multi-path framework is described. The part of the multi-path framework includes a subscript/superscript analysis and character determination component that is designed to identify subscript and superscript elements. A method for analyzing a handwritten mathematical expression includes receiving a symbols corresponding to handwritten mathematical expression input strokes, identifying subscript and/or superscript structures, and determining a character for each symbol of the set. A graph of vertexes and edges may be created based upon the set of symbols and the graph may be searched to determine optimized candidates.
摘要翻译：描述了通过提供一部分多路径框架来将手写数学表达式识别并输入计算机的机制。多路径框架的一部分包括下标/上标分析和字符确定组件，其被设计为识别下标和上标元素。一种用于分析手写数学表达式的方法包括接收对应于手写数学表达式输入笔画的符号，识别下标和/或上标结构，以及确定该组的每个符号的字符。可以基于符号集创建顶点和边缘的图形，并且可以搜索图形以确定优化的候选。

6. 发明申请

US20060062468A1 Analyzing scripts and determining characters in expression recognition 有权
公开(公告)号：US20060062468A1
公开(公告)日：2006-03-23
申请号：US11155748
申请日：2005-06-20
申请人： Mingqing Xu , Yu Zou , Lei Huang , Jian-Lai Zhou , Xianfang Wang , Xiaohui Hou , Dongmei Zhang , Zhouchen Lin , Jian Wang
发明人： Mingqing Xu , Yu Zou , Lei Huang , Jian-Lai Zhou , Xianfang Wang , Xiaohui Hou , Dongmei Zhang , Zhouchen Lin , Jian Wang
IPC分类号： G06K9/18
CPC分类号： G06K9/222
摘要： A mechanism for recognizing and inputting handwritten mathematical expressions into a computer by providing part of a multi-path framework is described. The part of the multi-path framework includes a subscript/superscript analysis and character determination component that is designed to identify subscript and superscript elements. A method for analyzing a handwritten mathematical expression includes receiving a symbols corresponding to handwritten mathematical expression input strokes, identifying subscript and/or superscript structures, and determining a character for each symbol of the set. A graph of vertexes and edges may be created based upon the set of symbols and the graph may be searched to determine optimized candidates.

7. 发明授权

US07929767B2 Analyzing subordinate sub-expressions in expression recognition 有权
标题翻译：分析表达式识别中的下级子表达式
公开(公告)号：US07929767B2
公开(公告)日：2011-04-19
申请号：US11155785
申请日：2005-06-20
申请人： Mingqing Xu , Yu Zou , Lei Huang , Jian-Lai Zhou , Xiaohui Hou , Zhouchen Lin , Dongmei Zhang , Jian Wang
发明人： Mingqing Xu , Yu Zou , Lei Huang , Jian-Lai Zhou , Xiaohui Hou , Zhouchen Lin , Dongmei Zhang , Jian Wang
IPC分类号： G06K9/18
CPC分类号： G06K9/00422 , G06K9/222 , G06K9/72 , G06K2209/01
摘要： A mechanism for recognizing and inputting handwritten mathematical expressions into a computer by providing part of a multi-path framework is described. The part of the multi-path framework includes a subordinate sub-expression analysis component. A method for analyzing a handwritten mathematical expression for a subordinate sub-expression includes identifying sub-expressions based on dominant symbols and determining a character for potential dominant symbols based upon sub-expression information. A determination may be made whether an expression structure candidate is valid and valid expression structure candidates may be stored in a parse tree.
摘要翻译：描述了通过提供一部分多路径框架来将手写数学表达式识别并输入计算机的机制。多路径框架的一部分包括从属子表达式分析组件。用于分析用于下级子表达式的手写数学表达式的方法包括基于主要符号识别子表达，并且基于子表达信息确定潜在的主要符号的字符。可以确定表达式结构候选是否是有效的，并且有效的表达式结构候选可以被存储在解析树中。

8. 发明申请

US20060062471A1 Analyzing subordinate sub-expressions in expression recognition 有权
标题翻译：分析表达式识别中的下级子表达式
公开(公告)号：US20060062471A1
公开(公告)日：2006-03-23
申请号：US11155785
申请日：2005-06-20
申请人： Mingqing Xu , Yu Zou , Lei Huang , Jian-Lai Zhou , Xiaohui Hou , Zhouchen Lin , Dongmei Zhang , Jian Wang
发明人： Mingqing Xu , Yu Zou , Lei Huang , Jian-Lai Zhou , Xiaohui Hou , Zhouchen Lin , Dongmei Zhang , Jian Wang
IPC分类号： G06K9/18
CPC分类号： G06K9/00422 , G06K9/222 , G06K9/72 , G06K2209/01
摘要： A mechanism for recognizing and inputting handwritten mathematical expressions into a computer by providing part of a multi-path framework is described. The part of the multi-path framework includes a subordinate sub-expression analysis component. A method for analyzing a handwritten mathematical expression for a subordinate sub-expression includes identifying sub-expressions based on dominant symbols and determining a character for potential dominant symbols based upon sub-expression information. A determination may be made whether an expression structure candidate is valid and valid expression structure candidates may be stored in a parse tree.
摘要翻译：描述了通过提供一部分多路径框架来将手写数学表达式识别并输入计算机的机制。多路径框架的一部分包括从属子表达式分析组件。用于分析用于下级子表达式的手写数学表达式的方法包括基于主要符号识别子表达，并且基于子表达信息确定潜在的主要符号的字符。可以确定表达式结构候选是否是有效的，并且有效的表达式结构候选可以被存储在解析树中。

9. 发明授权

US07447360B2 Analyzing tabular structures in expression recognition 有权
标题翻译：分析表达式识别中的表格结构
公开(公告)号：US07447360B2
公开(公告)日：2008-11-04
申请号：US11155783
申请日：2005-06-20
申请人： Yue Li , Lei Huang , Jian Wang
发明人： Yue Li , Lei Huang , Jian Wang
IPC分类号： G06K9/18 , G06K9/00
CPC分类号： G06K9/222
摘要： A mechanism for recognizing and inputting handwritten mathematical expressions into a computer by providing part of a multi-path framework is described. The part of the multi-path framework is tabular structure analysis component that is designed to determine tabular structures, such as ones defined by brackets, within handwritten mathematical expressions. A method for determining tabular structures in a handwritten mathematical expression includes determining whether a symbol representative of input strokes corresponds to a tabular structure associated with a mathematical expression. The tabular structure may be a matrix or multi-line expression. The method includes dividing input strokes into rows and columns and determining the existence of one or more brackets that define a tabular structure.
摘要翻译：描述了通过提供一部分多路径框架来将手写数学表达式识别并输入计算机的机制。多路径框架的一部分是表格结构分析组件，其被设计用于在手写数学表达式中确定诸如由括号定义的表格结构。用于确定手写数学表达式中的表格结构的方法包括确定代表输入笔画的符号是否对应于与数学表达式相关联的表格结构。表格结构可以是矩阵或多行表达式。该方法包括将输入笔划分成行和列，并确定定义表格结构的一个或多个括号的存在。

10. 发明申请

US20060062469A1 Analyzing tabular structures in expression recognition 有权
标题翻译：分析表达式识别中的表格结构
公开(公告)号：US20060062469A1
公开(公告)日：2006-03-23
申请号：US11155783
申请日：2005-06-20
申请人： Yue Li , Lei Huang , Jian Wang
发明人： Yue Li , Lei Huang , Jian Wang
IPC分类号： G06K9/18
CPC分类号： G06K9/222
摘要： A mechanism for recognizing and inputting handwritten mathematical expressions into a computer by providing part of a multi-path framework is described. The part of the multi-path framework is tabular structure analysis component that is designed to determine tabular structures, such as ones defined by brackets, within handwritten mathematical expressions. A method for determining tabular structures in a handwritten mathematical expression includes determining whether a symbol representative of input strokes corresponds to a tabular structure associated with a mathematical expression. The tabular structure may be a matrix or multi-line expression. The method includes dividing input strokes into rows and columns and determining the existence of one or more brackets that define a tabular structure.
摘要翻译：描述了通过提供一部分多路径框架来将手写数学表达式识别并输入计算机的机制。多路径框架的一部分是表格结构分析组件，其被设计用于在手写数学表达式中确定诸如由括号定义的表格结构。用于确定手写数学表达式中的表格结构的方法包括确定代表输入笔画的符号是否对应于与数学表达式相关联的表格结构。表格结构可以是矩阵或多行表达式。该方法包括将输入笔划分成行和列，并确定定义表格结构的一个或多个括号的存在。

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