An evaluation algorithm for q-Bézier triangular patches formed by convex combinations

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

Resumen: An extension to triangular domains of the univariate q-Bernstein basis functions is introduced and analysed. Some recurrence relations and properties such as partition of unity and degree elevation are proved for them. It is also proved that they form a basis for the space of polynomials of total degree less than or equal to n on a triangle. In addition, it is presented a de Casteljau type evaluation algorithm whose steps are all linear convex combinations.

Idioma: Inglés

DOI: 10.1016/j.cam.2023.115184

Año: 2023

Publicado en: Journal of Computational and Applied Mathematics 428 (2023), 115184 [11 pp.]
ISSN: 0377-0427

Factor impacto JCR: 2.1 (2023)

Categ. JCR: MATHEMATICS, APPLIED rank: 53 / 332 = 0.16 (2023) - Q1 - T1

Factor impacto CITESCORE: 5.4 - Computational Mathematics (Q1) - Applied Mathematics (Q1)

Factor impacto SCIMAGO: 0.858 - Computational Mathematics (Q2) - Applied Mathematics (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E41-20R
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)