Rapid Evaluation of Regular QuadMesh Interpolatory Subdivision Surfaces Based on Parametri.pdf

ISSN 1000-9825, CODEN RUXUEW E-mail: jos@ Journal of Software , Vol.18, Supplement, December 2007, pp.18−25 © 2007 by Journal of Software . All rights reserved. Tel/Fax: +86-10 ∗ 基于参数分解的正则四边形插值细分曲面的快速求值 1,2+ 1 1 1 苏志勋 , 李宝军 , 刘秀平 , 王丰敏 1(大连理工大学 应用数学系,辽宁 大连 116024) 2(Applied Mathematics Research Center, Delaware State University, Dover, DE 19901, USA) Rapid Evaluation of Regular Quad-Mesh Interpolatory Subdivision Surfaces Based on Parametric Decomposition 1,2+ 1 1 1 SU Zhi-Xun , LI Bao-Jun , LIU Xiu-Ping , WANG Feng-Min 1(Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China) 2(Applied Mathematics Research Center, Delaware State University, Dover, DE 19901, USA) + Corresponding author: Phn: +86-411ext 8020, E-mail: zxsu@, Su ZX, Li BJ, Liu XP, Wang FM. Rapid evaluation of regular quad-mesh interpolatory subdivision surfaces based on parametric decomposition. Journal of Software, 2007,18(Suppl.):18−25. / 1000-9825/18/s18.htm Abstract : Two algorithms for evaluation of regular quad-mesh interpolatory subdivision surfaces are proposed. Algorithms are designed based on the parametric m-ary decomposition and construction of matrix sequence. The weights of the control points on the initial mesh can be obtained, through direct computation of the basic function values by multiplying the finite matrix sequence corresponding to the decomposition number seq