区间Wang-Said型广义Ball曲线的降阶  

Degree Reduction of Interval Generalized Ball Curves of Wang-Said Type

作　　者：檀结庆[1] 方中海[1] 

机构地区：[1]合肥工业大学数学系,合肥230009

出　　处：《计算机辅助设计与图形学学报》2008年第11期1483-1493,共11页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金(60773043;60473114);教育部博士点基金(20070359014);安徽省自然科学基金(070416273X);安徽省教育厅科技创新团队基金(2005TD03).

摘　　要：定义了区间Wang-Said型广义Ball曲线(WSGB曲线),它可作为误差控制和产品检验的有效工具;采用3种方法讨论了其降阶逼近问题,即扰动法、利用Chebyshev多项式导出的最佳一致逼近算法和插值端点的最佳一致逼近方法;给出了各种处理方法的显式误差表示.最后结合数值实例分析了3种方法的优劣.In this paper, interval generalized Ball curves of Wang-Said type（WSGB） is proposed, it ean serve as an effective tool for error control and product testing, three methods are investigated for degree reduction of WSGB, namely, perturbation, best uniform approximation method and constrained best uniform approximation method obtained by Chebyshev polynomial. The explicit representations of the corresponding errors are given, and the advantages and disadvantages of these methods are discussed by some numerical examples.

关 键 词：区间Wang—Said型广义Ball曲线 降阶 扰动法 最佳一致逼近 端点插值 

分 类 号：TP391[自动化与计算机技术—计算机应用技术] O241.5[自动化与计算机技术—计算机科学与技术]