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Accurate evaluation algorithm for bivariate polynomial in Bernstein–Bézier form
- Source :
-
Applied Numerical Mathematics . Nov2011, Vol. 61 Issue 11, p1147-1160. 14p. - Publication Year :
- 2011
-
Abstract
- 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01689274
- Volume :
- 61
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Applied Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 65494204
- Full Text :
- https://doi.org/10.1016/j.apnum.2011.07.009