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Hermite interpolation by planar cubic-like ATPH

Abstract : This paper deals with the construction of the Algebraic Trigonometric Pythagorean Hodograph (ATPH) cubic Hermite interpolant and analyzes the existence and characterizations of solutions according to the tangents at both ends and a global shape parameter denoted α. Since this degree of freedom can be used for adjustments, we study how the curve evolves with respect to α. As an example of the use of this parameter, a simple fitting method is proposed to determine the unique ATPH curve passing through a given point in addition to the Hermite constraints.
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https://hal-uphf.archives-ouvertes.fr/hal-03556981
Contributor : Isabelle Cattiaux-Huillard Connect in order to contact the contributor
Submitted on : Friday, February 4, 2022 - 11:10:29 AM
Last modification on : Tuesday, July 19, 2022 - 11:47:13 AM
Long-term archiving on: : Thursday, May 5, 2022 - 6:59:10 PM

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  • HAL Id : hal-03556981, version 1

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Thierry Bay, Isabelle Cattiaux-Huillard, Laura Saini. Hermite interpolation by planar cubic-like ATPH. Advances in Computational Mathematics, Springer Verlag, In press. ⟨hal-03556981⟩

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