Quasi-Bernstein-Bézier polynomials over triangular domain with multiple shape parameters

DOI10.1016/j.amc.2014.10.098zbMath1328.41009OpenAlexW1966278489MaRDI QIDQ902824

Yuanpeng Zhu, Xu-li Han

Publication date: 4 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.10.098

zbMATH Keywords

shape parametertriangular domainsurface modelingBernstein-Bézier polynomialssaid-ball polynomials

Mathematics Subject Classification ID

Multidimensional problems (41A63) Spline approximation (41A15)

Related Items (2)

New trigonometric basis possessing denominator shape parameters ⋮ \(C^1\) interpolation splines over type-1 triangulations with shape parameters

Cites Work

• An extension of the Bézier model
• The computer graphics manual. 2 Volumes
• Totally positive bases for shape preserving curve design and optimality of B-splines
• A class of \({\alpha}{\beta}{\gamma}\)-Bernstein-Bézier basis functions over triangular domain
• A novel extension to the polynomial basis functions describing Bézier curves and surfaces of degree \(n\) with multiple shape parameters
• Construction of triangular DP surface and its application
• Properties of generalized Ball curves and surfaces
• A type of triangular ball surface and its properties
• An extension of Bernstein-Bézier surface over the triangular domain
• Curves and surfaces construction based on new basis with exponential functions
• Bézier curves and surfaces with shape parameters

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