Semi-stationary subdivision operators in geometric modeling  

作　　者：ZHANG Hongxin and WANG Guojin(State Key Laboratory of CAD & CG, Institute of Computer Images and Graphics, Zhejiang University, Hangzhou 310027, China) 

出　　处：《Progress in Natural Science:Materials International》2002年第10期772-776,共5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 No. 60173034) ; the Major State Basic Research Development Program of China (Grant No. G1998030600)

摘　　要：Based on the view of operator, a novel uniform subdivision construction method is proposed for free form curve and surface design. This method can give an appropriate manner of parameter change in the subdivision iteration with fewer parameters and better shape control, such as building local revolving surfaces. The convergent property of order 2 subdivision surface is elegantly analyzed using computing techniques of matrix. This method is promised to be valuable in Computer Aided Design and computer graphics, due to the simplicity both in mathematical theory and practical implementation, the similarity to the B-spline curve and surface, G1 continuity, the affine invariability and local flexible control.Based on the view of operator, a novel uniform subdivision construction method is proposed for free form curve and surface design. This method can give an appropriate manner of parameter change in the subdivision iteration with fewer parameters and better shape control, such as building local revolving surfaces. The convergent property of order 2 subdivision surface is elegantly analyzed using computing techniques of matrix. This method is promised to be valuable in Computer Aided Design and computer graphics, due to the simplicity both in mathematical theory and practical implementation, the similarity to the B-spline curve and surface, G(1) continuity, the affine invariability and local flexible control.

关 键 词：SURFACE modeling  SUBDIVISION operator  SUBDIVISION surface  GEOMETRIC continuity. 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]