Running error for the evaluation of rational Bézier surfaces

DOI10.1016/j.cam.2009.02.023zbMath1204.65015OpenAlexW1994111546MaRDI QIDQ2654177

Jorge Delgado, Juan Manuel Peña

Publication date: 15 January 2010

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.2009.02.023

zbMATH Keywords

error boundsrational surfacesBézier surfacesroundoff errorforward errorrunning errorevaluation algorithm

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Roundoff error (65G50) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

On the accuracy of de Casteljau-type algorithms and Bernstein representations, Running error for the evaluation of rational Bézier surfaces through a robust algorithm, Accurate Computations and Applications of Some Classes of Matrices

Uses Software

• mctoolbox

Cites Work

• Error analysis of efficient evaluation algorithms for tensor product surfaces
• On the numerical condition of polynomials in Bernstein form
• On Wachspress quadrilateral patches
• On the optimal stability of bases of univariate functions
• The evaluation of the zeros of ill-conditioned polynomials. I, II
• A Corner Cutting Algorithm for Evaluating Rational Bézier Surfaces and the Optimal Stability of the Basis
• Accuracy and Stability of Numerical Algorithms
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