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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.
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
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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