Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473815 | Computers & Mathematics with Applications | 2010 | 12 Pages |
Abstract
In computer aided geometric design a polynomial is usually represented in Bernstein form. This paper presents two compensated algorithms to accurately evaluate a polynomial and its derivative in Bernstein form with floating point coefficients. The principle is to apply error-free transformation to improve traditional de Casteljau algorithm. Forward error analysis and numerical experiments illustrate the accuracy of our algorithms.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Hao Jiang, Shengguo Li, Lizhi Cheng, Fang Su,