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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
Exportado de SIDERAL (2021-01-21-10:43:38)
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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)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original. Exportado de SIDERAL (2021-01-21-10:43:38)
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Record created 2016-02-22, last modified 2021-01-21