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Constrained approximation of rational triangular B 'ezier surfaces by\n polynomial triangular B 'ezier surfaces

2015/04/14 by Stanisław Lewanowicz, Lewanowicz, Stanisław, Paweł Keller +3
Engineering · Computer Science · #Advanced Numerical Analysis Techniques #Computer Graphics and Visualization Techniques #3D Shape Modeling and Analysis

paper · pdf · doi:10.48550/arxiv.1504.03557

Abstract

We propose a novel approach to the problem of polynomial approximation of\nrational B 'ezier triangular patches with prescribed boundary control points.\nThe method is very efficient thanks to using recursive properties of the\nbivariate dual Bernstein polynomials and applying a smart algorithm for\nevaluating a collection of two-dimensional integrals. Some illustrative\nexamples are given.\n

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