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Accurate evaluation of a polynomial and its derivative in Bernstein form

Author:
Hao Jiang   Shengguo Li   Lizhi Cheng   Fang Su  


Journal:
Computers and Mathematics with Applications


Issue Date:
2010


Abstract(summary):

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.


Page:
744-755


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