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Geometric continuity of plane curves in terms of Riordan matrices and an application to the F-chordal problem

The first goal of this article is to provide an statement of the conditions for geometric continuity of order k, referred in the bibliography as beta-constraints, in terms of Riordan matrices. The second one is to see this new formulation in action to solve a theoretical cuestion about uniqueness of analytic solution for a general and classical problem in plane geometry: the F-chordal problem.

preprint2020arXivOpen access
Luis Felipe Prieto-Martínez
math.MG
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Luis Felipe Prieto-Martínez

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