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Running error for the evaluation of rational Bézier surfaces through a robust algorithm

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Publication:629401
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DOI10.1016/j.cam.2010.04.031zbMath1211.65021OpenAlexW2019160925MaRDI QIDQ629401

Jorge Delgado, Juan Manuel Peña

Publication date: 9 March 2011

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.2010.04.031

zbMATH Keywords

error boundsrational surfacesroundoff errorcorner cutting algorithmforward errorrational Bézier surfacesrunning error


Mathematics Subject Classification ID

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


Related Items

On the accuracy of de Casteljau-type algorithms and Bernstein representations, Accurate Computations and Applications of Some Classes of Matrices


Uses Software

  • mctoolbox


Cites Work

  • On the numerical condition of polynomials in Bernstein form
  • On the optimal stability of bases of univariate functions
  • Running error for the evaluation of rational Bézier surfaces
  • A Corner Cutting Algorithm for Evaluating Rational Bézier Surfaces and the Optimal Stability of the Basis
  • Accuracy and Stability of Numerical Algorithms
  • Unnamed Item
  • Unnamed Item
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