Accurate evaluation of Bézier curves and surfaces and the Bernstein-Fourier algorithm

Delgado, J. (Universidad de Zaragoza) ; Peña, J.M. (Universidad de Zaragoza)

Resumen: The Bernstein-Fourier algorithm for the evaluation of polynomial curves is extended for the evaluation of polynomial tensor product surfaces. Under a natural hypothesis, accurate evaluation of Bézier curves and surfaces through several algorithms is discussed. Numerical experiments comparing the accuracy of the corresponding Horner, de Casteljau, VS and Bernstein-Fourier algorithms are presented.

Idioma: Inglés

DOI: 10.1016/j.amc.2015.08.086

Año: 2015

Publicado en: Applied Mathematics and Computation 271 (2015), 113-122
ISSN: 0096-3003

Factor impacto JCR: 1.345 (2015)

Categ. JCR: MATHEMATICS, APPLIED rank: 54 / 254 = 0.213 (2015) - Q1 - T1

Factor impacto SCIMAGO: 0.95 - Computational Mathematics (Q2) - Applied Mathematics (Q2)

Tipo y forma: Article (PrePrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)