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Fuzzy logic approach to recognition of mathematical notation.

机译:识别数学符号的模糊逻辑方法。

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摘要

Recognition of mathematical notation has been investigated for over thirty years. It plays an important role in transcribing documents in scientific and engineering disciplines from images into more abstract electronic forms. These allow the mathematical expression to be evaluated or manipulated by computer software.; Recognition of mathematical notation consists of symbol recognition and symbol arrangement analysis. In this thesis, we focus on the latter. In particular, we focus on the uncertainty occurring in the spatial structure between symbols. We investigate extensions to an existing deterministic mathematical notation recognition system DRACULAE, which is grammar-based and has potentials to extend to a Fuzzy Logic approach.; We develop a Fuzzy Logic approach to recognition of mathematical notation by applying Fuzzy Logic to the symbol arrangement analysis. By defining confidence values for spatial relationships and baseline structure trees, we produce a list of reasonable interpretations and allow users to select the desired interpretation of their expression.
机译:数学符号的识别已经研究了三十多年。它在将科学和工程学科中的文档从图像转换为更抽象的电子形式中起着重要作用。这些允许通过计算机软件评估或操纵数学表达式。数学符号的识别包括符号识别和符号排列分析。在本文中,我们将重点放在后者上。特别地,我们关注符号之间空间结构中出现的不确定性。我们研究了对现有的确定性数学符号识别系统DRACULAE的扩展,该系统基于语法,并且有可能扩展到模糊逻辑方法。通过将模糊逻辑应用于符号排列分析,我们开发了一种用于识别数学符号的模糊逻辑方法。通过定义空间关系和基线结构树的置信度值,我们生成了一系列合理的解释,并允许用户选择所需的表达方式。

著录项

  • 作者

    Zhang, Ling.;

  • 作者单位

    Queen's University (Canada).;

  • 授予单位 Queen's University (Canada).;
  • 学科 Artificial Intelligence.; Computer Science.
  • 学位 M.Sc.
  • 年度 2005
  • 页码 93 p.
  • 总页数 93
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 人工智能理论;自动化技术、计算机技术;
  • 关键词

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