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Capturing Abstract Matrices from Paper

机译:从纸上捕获抽象矩阵

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摘要

Capturing and understanding mathematics from print form is an important task in translating written mathematical knowledge into electronic form. While the problem of syntactically recognising mathematical formulas from scanned images has received attention, very little work has been done on semantic validation and correction of recognised formulas. We present a first step towards such an integrated system by combining the Infty system with a semantic analyser for matrix expressions. We applied the combined system in experiments on the semantic analysis of matrix images scanned from textbooks. While the first results are encouraging, they also demonstrate many ambiguities one has to deal with when analysing matrix expressions in different contexts. We give a detailed overview of the problems we encountered that motivate further research into semantic validation of mathematical formula recognition.
机译:从书面形式捕获和理解数学是将书面数学知识转换为电子形式的重要任务。虽然从扫描图像上语法识别数学公式的问题已受到关注,但在语义验证和识别公式的校正方面所做的工作很少。通过将Infty系统与用于矩阵表达式的语义分析器相结合,我们向着这样一个集成系统提出了第一步。我们在实验中将组合系统应用于从教科书扫描的矩阵图像的语义分析中。尽管最初的结果令人鼓舞,但它们也证明了在不同背景下分析矩阵表达式时必须处理的许多歧义。我们详细介绍了所遇到的问题,这些问题促使人们进一步研究数学公式识别的语义验证。

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