Constrained approximation of rational triangular Bézier surfaces by polynomial triangular Bézier surfaces

被引：0
|
作者：
Stanisław Lewanowicz
Paweł Keller
Paweł Woźny
机构：
[1] University of Wrocław,Institute of Computer Science
[2] Warsaw University of Technology,Faculty of Mathematics and Information Science
来源：
Numerical Algorithms | 2017年 / 75卷
关键词：
Rational triangular Bézier surface; Polynomial approximation; Bivariate dual Bernstein basis; Two-dimensional integral; Adaptive quadrature; 41A10; 65D17; 65D30; 33D45;
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学科分类号：
摘要：
We propose a novel approach to the problem of polynomial approximation of rational Bézier triangular patches with prescribed boundary control points. The method is very efficient thanks to using recursive properties of the bivariate dual Bernstein polynomials and applying a smart algorithm for evaluating a collection of two-dimensional integrals. Some illustrative examples are given.
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页码：93 / 111
页数：18
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