A SUBDIVISION SCHEME FOR VOLUMETRIC MODELS  

作　　者：Ghulam Mustafa 

机构地区：[1]Dept. of Math., Univ. of Sci. and Tech. of China, Anhui 230026, China.

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2005年第2期213-224,共12页高校应用数学学报（英文版）（B辑）

摘　　要：In this paper, a subdivision scheme which generalizes a surface scheme in previous papers to volume meshes is designed.The scheme exhibits significant control over shrink-age/size of volumetric models.It also has the ability to conveniently incorporate boundaries and creases into a smooth limit shape of models.The method presented here is much simpler and easier as compared to MacCracken and Joy's.This method makes no restrictions on the local topology of meshes.Particularly,it can be applied without any change to meshes of non-manifold topology.In this paper, a subdivision scheme which generalizes a surface scheme in previous papers to volume meshes is designed.The scheme exhibits significant control over shrink-age/size of volumetric models.It also has the ability to conveniently incorporate boundaries and creases into a smooth limit shape of models.The method presented here is much simpler and easier as compared to MacCracken and Joy's.This method makes no restrictions on the local topology of meshes.Particularly,it can be applied without any change to meshes of non-manifold topology.

关 键 词：geometric modelling SUBDIVISION volume mesh non-manifold. 

分 类 号：O181[理学—数学]