Computing orthogonal polynomials on a triangle by degree raising

DOI10.1007/S11075-006-9036-4zbMath1105.65025OpenAlexW2024680421MaRDI QIDQ2431788

Shayne F. D. Waldron

Publication date: 24 October 2006

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-006-9036-4

zbMATH Keywords

algorithmsorthogonal polynomialscomputer-aided geometric designJacobi polynomialsBernstein-Bézier formHahn polynomialssurface smoothing

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Computation of special functions and constants, construction of tables (65D20) Approximation by polynomials (41A10) Computer-aided design (modeling of curves and surfaces) (65D17) Numerical approximation and evaluation of special functions (33F05)

Cites Work

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• Legendre-Bernstein basis transformations
• Good degree reduction of Bézier curves using Jacobi polynomials
• Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves
• On the Bernstein--Bézier form of Jacobi polynomials on a simplex

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