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Determining Critical Points of Handwritten Mathematical Symbols Represented as Parametric Curves

Authors: Alsobhe, Aoesha G;

Determining Critical Points of Handwritten Mathematical Symbols Represented as Parametric Curves

Abstract

We consider the problem of computing critical points of plane curves represented in a finite orthogonal polynomial basis. This is motivated by an approach to the recognition of hand-written mathematical symbols in which the initial data is in such an orthogonal basis and it is desired to avoid ill-conditioned basis conversions. Our main contribution is to assemble the relevant mathematical tools to perform all the necessary operations in the orthogonal polynomial basis. These include implicitization, differentiation, root finding and resultant computation.

Country
Canada
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Keywords

Handwriting recognition, resultants in orthogonal bases, Chebyshev basis, critical points, companion matrix, Legendre basis, Sylvester matrix, orthogonal bases, implicit curve, : Handwriting recognition, 004, 510, parametric curve, resultants

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citations
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!
0
Average
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