Reconnaissance Structurelle de Formules Mathématiques Typographiées et Manuscrites

Stéphane Lavirotte 1
1 Laboratoire d'Informatique, Signaux, et Systèmes de Sophia-Antipolis (I3S) / Equipe RAINBOW
Laboratoire I3S - SPARKS - Scalable and Pervasive softwARe and Knowledge Systems
Abstract : This thesis describes the study and implementation of a component for structural recognition of handwritten or typesetted mathematical formulae. This work is related to document analysis and recognition fields of research. Our aim could be resumed as : how to recognize the mathematical notation, i.e. the abstract syntax tree of a formula, just with graphical and geometrical informations (symbols and their position). The design of our software, OFR (Optical Formula Recognition) enables us to reuse the same prototype with different OCR systems and to adapt the recognition process to a large variety of mathematical notations. To achive the structural recognition, we used a graph modelisation. This allows us to have all data in a synthetized format. We use an attributed contextual graph grammar for parsing graph, especially developped for mathematical operators. Thanks to formulae exchange protocols like OpenMath, the interface developped with the help of OFR may be used as a front end for writing mathematical ans send them to a computer algebra system like Mathematica.
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Stéphane Lavirotte. Reconnaissance Structurelle de Formules Mathématiques Typographiées et Manuscrites. Interface homme-machine [cs.HC]. Université Nice Sophia Antipolis, 2000. Français. ⟨tel-00523373⟩

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