Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645598 | Applied Numerical Mathematics | 2011 | 14 Pages |
Abstract
In this paper it is presented a compensated de Casteljau algorithm to accurately evaluate a bivariate polynomial in Bernstein–Bézier form. The principle is to apply error-free transformations to improve the traditional de Casteljau algorithm. A forward error and a running error analysis are performed. Finally, some numerical experiments illustrate the accuracy of the proposed algorithm in ill-conditioned problems.
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