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Design of C2 algebraic-trigonometric pythagorean hodograph splines with shape parameters

Abstract : In this paper, we construct C2 Algebraic-Trigonometric Pythagorean Hodograph (ATPH) splines by solving a non-linear system of equations in complex variables. We compare these splines, which depend on several shape parameters, with their polynomial PH counterpart as well as with the well-known C2 cubic B-splines. We finally present criteria for choosing the free shape parameters based on the minimization of certain fairness functionals.
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Submitted on : Wednesday, March 10, 2021 - 11:35:43 AM
Last modification on : Saturday, October 9, 2021 - 3:15:37 AM

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Cindy González, Gudrun Albrecht, Marco Paluszny, Marianela Lentini. Design of C2 algebraic-trigonometric pythagorean hodograph splines with shape parameters. Computational and Applied Mathematics, Springer Verlag, 2016, 37 (2), p. 1472-1495. ⟨10.1007/s40314-016-0404-y⟩. ⟨hal-03164878⟩

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