A bound on the distance between Loop subdivision surface and its control mesh  

作　　者：Zhang Yuhua Zhao Chong Cui Zhenlu Zeng Xiaoming 

机构地区：[1]Department of Mathematics,Xiamen University,Xiamen 361005,China [2]Department of Computer Science,Xiamen University,Xiamen 361005,China [3]Department of Mathematics and Computer Science,Fayetteville State University,Fayetteville,North Carolina 28301,USA

出　　处：《Computer Aided Drafting,Design and Manufacturing》2012年第1期27-30,共4页计算机辅助绘图设计与制造（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No.61170324);the Natural Science Foundation of Fujian Province of China (No.2010J01012);the National Defense Basic Scientific Research Program of China (No.B1420110155)

摘　　要：By means of direct analysis of the connection between Loop subdivision surface and its control mesh and the computation of the basis functions, we obtain a bound on the distance between Loop subdivision surface patch and its control mesh. The bound can be used to compute the numbers of subdivision for a given tolerance. Finally, two examples are listed in this paper to demon- strate the applications of the bound.By means of direct analysis of the connection between Loop subdivision surface and its control mesh and the computation of the basis functions, we obtain a bound on the distance between Loop subdivision surface patch and its control mesh. The bound can be used to compute the numbers of subdivision for a given tolerance. Finally, two examples are listed in this paper to demon- strate the applications of the bound.

关 键 词：Loop surface control mesh BOUND SUBDIVISION basis functions 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术] TP391.41[自动化与计算机技术—计算机科学与技术]