Geometric properties and algorithms for rational q-Bézier curves and surfaces

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

Resumen: In this paper, properties and algorithms of q-Bézier curves and surfaces are analyzed. It is proven that the only q-Bézier and rational q-Bézier curves satisfying the boundary tangent property are the Bézier and rational Bézier curves, respectively. Evaluation algorithms formed by steps in barycentric form for rational q-Bézier curves and surfaces are provided.

Idioma: Inglés

DOI: 10.3390/math8040541

Año: 2020

Publicado en: MATHEMATICS 8, 4 (2020), 541 [15 pp.]
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/E41-17R
Financiación: info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-096321-B-I00

Tipo y forma: Article (Published version)

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