Some Sufficient Conditions for Convergent Multivariate Subdivision Schemes with Nonnegative Finite Masks  

作　　者：Min WU Jia Li ZHOU 

机构地区：[1]Department of Mathematics,Zhejiang University of Science and Technology [2]Department of Mathematics,Zhejiang University of Technology

出　　处：《Acta Mathematica Sinica,English Series》2012年第7期1411-1420,共10页数学学报（英文版）

基　　金：Supported by Zhejiang Provincial Natural Science Foundation of China (Grant Nos. Y1100440, Y1110491);Science & Technology Program of Zhejiang Province (Grant No. 2009C34006);Foundation of Zhejiang Educational Committee (Grant No. Y201018286);Major Science & Technology Projects of Zhejiang Province (Grant No. 2011C11050)

摘　　要：It is well known that the convergence of multivariate subdivision schemes with finite masks can be characterized via joint spectral radius. For nonnegative masks, we will present in this paper some computable simply sufficient conditions for the convergence, which will cover a substantially large class of schemes.It is well known that the convergence of multivariate subdivision schemes with finite masks can be characterized via joint spectral radius. For nonnegative masks, we will present in this paper some computable simply sufficient conditions for the convergence, which will cover a substantially large class of schemes.

关 键 词：Cascade algorithm dilation equation joint spectral radius MASK subdivision scheme 

分 类 号：O186.11[理学—数学]