Triangular domain extension of algebraic trigonometric Bézier-like basis

DOI10.1007/s11766-011-2672-zzbMath1240.65062OpenAlexW2028594788MaRDI QIDQ655760

Wanqiang Shen, Yongwei Wei, Guo-zhao Wang

Publication date: 27 January 2012

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-011-2672-z

zbMATH Keywords

symmetryboundary representationlinear independencepartition of unitybasis functioncomputer aided geometric designBernstein basistriangular domainnon-negativityBézier-like basisBézier-like surfacesblended spacefree form modeling

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

A practical method for generating trigonometric polynomial surfaces over triangular domains ⋮ Recent advances of variational models in medical imaging and applications to computer aided surgery

Cites Work

• C-curves: An extension of cubic curves
• Linear convexity conditions for rectangular and triangular Bernstein-Bézier surfaces
• Converse theorems of convexity for Bernstein polynomials over triangles
• An extension of Bernstein-Bézier surface over the triangular domain
• A class of Bézier-like curves
• Inflection points and singularities on C-curves
• A general class of Bernstein-like bases
• Unifying C-curves and H-curves by extending the calculation to complex numbers
• On the singularity of a class of parametric curves
• C-Bézier Curves and Surfaces

This page was built for publication: Triangular domain extension of algebraic trigonometric Bézier-like basis