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Article Dans Une Revue Advances in Computational Mathematics Année : 2022

Hermite interpolation by planar cubic-like ATPH

Interpolation de Hermite par des courbes ATPH pseudo-cubiques planes

Résumé

This paper deals with the construction of the Algebraic Trigonometric Pythagorean Hodograph (ATPH) cubic-like Hermite interpolant. A characterization of solutions according to the tangents at both ends and a global free shape parameter α is performed. Since this degree of freedom can be used for adjustments, we study how the curve evolves with respect to α. Several examples illustrating the construction process and a simple fitting method to determine the unique ATPH curve passing through a given point are proposed.
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Dates et versions

hal-03556981 , version 1 (04-02-2022)
hal-03556981 , version 2 (24-03-2023)

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Thierry Bay, Isabelle Cattiaux-Huillard, Laura Saini. Hermite interpolation by planar cubic-like ATPH. Advances in Computational Mathematics, 2022, 48, ⟨10.1007/s10444-022-09978-8⟩. ⟨hal-03556981v2⟩
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