一种构造拟合曲面的新方法  

A new approach to the building blending surface fitting problem

作　　者：李悦[1] 孙永利[1] 于建平[2] 

机构地区：[1]北京化工大学理学院,北京100029 [2]北京科技大学数理学院,北京100083

出　　处：《北京化工大学学报（自然科学版）》2013年第2期125-128,共4页Journal of Beijing University of Chemical Technology(Natural Science Edition)

基　　金：国家自然科学基金(11101029);中央高校基本科研业务费(610806)

摘　　要：利用计算代数中理想的Grbner基理论研究CAGD中曲面拟合问题,对代数曲面的0至2阶几何连续拟合做了较为细致的研究,通过实例验证了本文方法的有效性与准确性。The study of constructing blending surfaces between given surfaces is one of the important problems in geometric modeling. In this paper, a new method using GrObner bases in computer algebra combined with tech- niques in CAGD for constructing algebraic blending surfaces is introduced. In the last section of this paper, two ex- amples are given which prove the effectiveness and accuracy of this method.

关 键 词：曲面造型 簇 GROBNER基 拟合曲面 

分 类 号：O187.1[理学—数学]