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

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Abstract

The first goal of this article is to provide a 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 question about uniqueness of analytic solution for a general and classical problem in plane geometry: the F-chordal problem.

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  1. Universidad Autónoma de Madrid, Madrid, Spain

    L. Felipe Prieto-Martínez

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  1. L. Felipe Prieto-Martínez
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Correspondence to L. Felipe Prieto-Martínez.

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Prieto-Martínez, L.F. Geometric continuity of plane curves in terms of Riordan matrices and an application to the F-chordal problem. RACSAM 115, 74 (2021). https://doi.org/10.1007/s13398-021-01013-7

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