Compensated evaluation of tensor product surfaces in CAGD

Delgado Gracia, J. (Universidad de Zaragoza)

Resumen: In computer-aided geometric design, a polynomial surface is usually represented in Bézier form. The usual form of evaluating such a surface is by using an extension of the de Casteljau algorithm. Using error-free transformations, a compensated version of this algorithm is presented, which improves the usual algorithm in terms of accuracy. A forward error analysis illustrating this fact is developed.

Idioma: Inglés

DOI: 10.3390/math8122219

Año: 2020

Publicado en: MATHEMATICS 8, 12 (2020), 2219 [1-12]
ISSN: 2227-7390

Factor impacto JCR: 2.258 (2020)

Categ. JCR: MATHEMATICS rank: 24 / 330 = 0.073 (2020) - Q1 - T1

Factor impacto SCIMAGO: 0.495 - Mathematics (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/Construyendo Europa desde Aragón
Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/E41-17R
Financiación: info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-096321-B-I00

Tipo y forma: Article (Published version)

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