Error estimate for Doo-Sabin surfaces  

作　　者：WANG Huawei , GUAN Youjiang and QIN Kaihuai(1. Department of Computer Science and Technology 2. Department of Precision Instrument and Mechanics, Tsinghua University, Beijing 100084, China) 

出　　处：《Progress in Natural Science:Materials International》2002年第9期695-700,共6页自然科学进展·国际材料（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant Nos. 59875047, 69873025)

摘　　要：Based on a general bound on the distance error between a uniform Doo-Sabin surface and its control polyhedron, an exponential error bound independent of the subdivision process is presented in this paper. Using the exponential bound, one can predict the depth of recursive subdivision of the Doo-Sabin surface within any user-specified error tolerance.Based on a general bound on the distance error between a uniform Doo-Sabin surface and its control polyhedron, an exponential error bound independent of the subdivision process is presented in this paper. Using the exponential bound, one can predict the depth of recursive subdivision of the Doo-Sabin surface within any user-specified error tolerance.

关 键 词：subdivision  UNIFORM Doo-Sabin surface  ERROR estimate. 

分 类 号：O241[理学—计算数学]