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

作     者：Zhang Yuhua Zhao Chong Cui Zhenlu Zeng Xiaoming 

作者机构：Department of MathematicsXiamen UniversityXiamen 361005China Department of Computer ScienceXiamen UniversityXiamen 361005China Department of Mathematics and Computer ScienceFayetteville State UniversityFayettevilleNorth Carolina 28301USA 

出 版 物：《Computer Aided Drafting,Design and Manufacturing》 (计算机辅助绘图设计与制造（英文版）)

年 卷 期：2012年第22卷第1期

页      面：27-30页

学科分类：081203[工学-计算机应用技术] 08[工学] 080203[工学-机械设计及理论] 0835[工学-软件工程] 0802[工学-机械工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

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) 

主　　题：Loop surface control mesh bound subdivision basis functions 

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.