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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Hal
Conference object . 2016
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https://doi.org/10.1109/icpr.2...
Article . 2016 . Peer-reviewed
Data sources: Crossref
DBLP
Conference object . 2023
Data sources: DBLP
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Subexpression and dominant symbol histograms for spatial relation classification in mathematical expressions

Authors: Frank D. Julca-Aguilar; Nina S. T. Hirata; Harold Mouchère; Christian Viard-Gaudin;

Subexpression and dominant symbol histograms for spatial relation classification in mathematical expressions

Abstract

Recognition of spatial relations between pairs ofsubexpressions is a key problem of recognition of handwrittenmathematical expressions. Most methods for spatial relation classification are based on handcrafted rules and geometric indicesextracted from the subexpression bounding boxes. In this work,we propose new spatial relation features that combine subexpression bounding box and intra-subexpression information, alongwith prior knowledge about the general position and size ofsymbols. Instead of handcrafting features, we train artificialneural networks to learn the useful features from two kinds ofhistograms. The first type captures the relative positions and sizesof the subexpression bounding boxes. The second captures therelative positions and shape of a pair of symbols, called dominantsymbols, extracted from the main baselines of the evaluatedsubexpressions. We evaluate and compare our features with twostate-of-the-art features on a benchmark dataset. Experimentalresults show that our features obtain better accuracy than thesetwo features.

Keywords

Spatial relation classification, Handwritten mathematical recognition, [INFO.INFO-CV] Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV], [INFO.INFO-HC] Computer Science [cs]/Human-Computer Interaction [cs.HC]

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
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