一种可调的Catmull-Clark细分曲面  

An Adjustable Catmull-Clark Subdivision Surfaces

作　　者：王卫民[1] 罗国明[1] 张纪文[1] 林兴[1] 

机构地区：[1]浙江大学CAD&CG国家重点实验室,杭州310027

出　　处：《工程图学学报》2002年第3期115-121,共7页Journal of Engineering Graphics

基　　金：国家自然科学基金资助项目(60073025)

摘　　要：通过在曲面细分过程中引入一个参数t(0≤t≤1),使得Catmull-Clark细分曲面可调,得出一种新的算法。这种算法简单直观,通过调节参数t值,可以得到一族细分曲面。该族细分曲面不但保留了许多Catmull-Clark细分曲面的特性,而且可以方便地解决在工程中经常遇到的调整曲面位置和形状的问题。同时,还可以将这种细分算法作为Catmull-Clark细分的前置处理方法。文中详细讨论了这一算法,并给出了验证实例。This paper presents a new algorithm to design adjustable Catmull-Clark subdivision surfaces using a controlling parameter t(0≤t≤1). This new algorithm is easy to use. And when adjusting parameter t, a kind of subdivision surfaces can be constructed. Therefore it can not only keep the characteristics of Catmull-Clark subdivision surfaces, but also deal with the difficulties in adjusting the position and shape of surfaces often faced in Engineering. Moreover, we can use this subdivision algorithm as pretreatment for Catmull-Clark subdivision. The algorithm is explained in detail, and demonstrated with an example in the paper.

关 键 词：CATMULL-CLARK曲面 B样条 算法 细分曲面 拓扑网格 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]