Comparison of CSC method and the B-net method for deducing smoothness condition  

作　　者：Renhong Wang,Kai Qu Institute of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China 

出　　处：《Progress in Natural Science:Materials International》2009年第1期25-31,共7页自然科学进展·国际材料（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.60533060,60373093,10726067,10726068 and 10801024)

摘　　要：The first author of this paper established an approach to study the multivariate spline over arbitrary partition,and presented the so-called conformality method of smoothing cofactor(the CSC method).Farin introduced the B-net method which is suitable for studying the multivariate spline over simplex partitions.This paper indicates that the smoothness conditions obtained in terms of the B-net method can be derived by the CSC method for the spline spaces over simplex partitions,and the CSC method is more capable in some sense than the B-net method in studying the multivariate spline.The first author of this paper established an approach to study the multivariate spline over arbitrary partition, and presented the so-called conformality method of smoothing cofactor （the CSC method）. Farin introduced the B-net method which is suitable for studying the multivariate spline over simplex partitions. This paper indicates that the smoothness conditions obtained in terms of the B-net method can be derived by the CSC method for the spline spaces over simplex partitions, and the CSC method is more capable in some sense than the B-net method in studying the multivariate spline.

关 键 词：Multivariate spline Smoothing cofactor Global conformality condition B-net method Smoothness condition 

分 类 号：O174[理学—数学]