Construction of triangular DP surface and its application

DOI10.1016/j.cam.2007.07.031zbMath1152.65027OpenAlexW2114830223MaRDI QIDQ935789

Jie Chen, Guo-Jin Wang

Publication date: 8 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.07.031

zbMATH Keywords

fast evaluationtriangular domainnormalized totally positive basisbivariate basisrecursive definitiontriangular surface

Mathematics Subject Classification ID

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

Related Items (6)

A class of \({\alpha}{\beta}{\gamma}\)-Bernstein-Bézier basis functions over triangular domain ⋮ Quasi-Bernstein-Bézier polynomials over triangular domain with multiple shape parameters ⋮ An extension of the Bézier model ⋮ A new bivariate basis representation for Bézier-based triangular patches with quadratic complexity ⋮ Accurate evaluation of Bézier curves and surfaces and the Bernstein-Fourier algorithm ⋮ Quartic rational Said-Ball-like basis with tension shape parameters and its application

Uses Software

• CONSURF

Cites Work

• Unnamed Item
• Shape preserving properties of the generalised Ball basis
• Properties of generalized Ball curves and surfaces
• A type of triangular ball surface and its properties
• Efficient algorithms for Bézier curves
• A shape preserving representation with an evaluation algorithm of linear complexity
• Conversion and evaluation for two types of parametric surfaces constructed by NTP bases
• A generalized Ball curve and its recursive algorithm

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