| 单形上Bernstein多项式的快速求值 |
| |
| 引用本文： | 闵涛,张晓鹏.单形上Bernstein多项式的快速求值[J].西安理工大学学报,1995,11(2):141-145. |
| |
| 作者姓名： | 闵涛 张晓鹏 |
| |
| 作者单位： | 西安理工大学基础部，西北大学数学系 |
| |
| 摘 要： | 给出单形上Ｂｅｒｎｓｔｅｉｎ多项式求值的一种快速赋值方式，速度比ｄｅ Ｃａｓｔｅｌｊａｕ算法快一个数量级，稳定性优于Ｓｃｈｕｍａｋｅｒ方法，且乘除量也少于Ｓｃｈｕｍａｋｅｒ方法。
|
| 关 键 词： | 单形 Bernstein 多项式 Taylor形式 |
Fast Evaluation for Bernstein Polynomials over Simplices |
| |
| Min Tao,Zhang Xiaopeng.Fast Evaluation for Bernstein Polynomials over Simplices[J].Journal of Xi'an University of Technology,1995,11(2):141-145. |
| |
| Authors: | Min Tao Zhang Xiaopeng |
| |
| Abstract: | A fast evaluahon method for Bernstein polynomials over simplices is presented.The method is faster in operation speed than the de Casteljau algorithm in one order of magnitude.It is superior than the Schumaker's method in stability,and has fewer multiplications and subdivisions. |
| |
| Keywords: | Simplex Bernstein polynomials Taylor form polynomials polynomial evaluaion nested form |
| 本文献已被 CNKI 维普 等数据库收录！ |
