Efficient evaluation of multivariate polynomials
Computer Aided Geometric Design
On the p-norm condition number of the multivariate triangular Bernstein basis
Journal of Computational and Applied Mathematics - Special issue/Dedicated to Prof. Larry L. Schumaker on the occasion of his 60th birthday
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
The Marching Intersections algorithm for merging range images
The Visual Computer: International Journal of Computer Graphics
Rounding Errors in Algebraic Processes
Rounding Errors in Algebraic Processes
Evaluation algorithms for multivariate polynomials in Bernstein--Bézier form
Journal of Approximation Theory
Accurate evaluation algorithm for bivariate polynomial in Bernstein-Bézier form
Applied Numerical Mathematics
On the evaluation of rational triangular Bézier surfaces and the optimal stability of the basis
Advances in Computational Mathematics
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Running error analysis for the bivariate de Casteljau algorithm and the VS algorithm is performed. Theoretical results joint with numerical experiments show the better stability properties of the de Casteljau algorithm for the evaluation of bivariate polynomials defined on a triangle in spite of the lower complexity of the VS algorithm. The sharpness of our running error bounds is shown.