Precise evaluation of uniform Doo-Sabin surfaces

作     者：WANG Huawei and QIN Kaihuai(Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China) 

出 版 物：《Progress in Natural Science:Materials International》 (自然科学进展·国际材料(英文))

年 卷 期：2003年第5期

页      面：73-78页

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：the Specialized Research Fund for the Dectoral Program of Higher Education of China (No.20010003048) the National Natural Science Foundation of China (Grant No.60273013) and RGCUHK(4189/01)E 

主　　题：subdivision surfaces parameterization surface evaluation Doo-Sabin quadratic Catmull quadratic. 

摘      要：Using eigenanalysis of uniform Doo-Sabin subdivision surfaces, parameterization approaches for two types of Doo-Sabin subdivision surfaces are developed, and evaluation methods for values and derivatives of Doo-Sabin surfaces at arbitrary parameters are presented by means of non-iterative approaches. Generalized basis functions for Doo-Sabin surfaces are also derived. Thus, the prejudice is disproved further that subdivision surfaces cannot be evaluated precisely.