基于Catmull-Clark细分的曲面裁剪运算  

Surface Trimming Operation Based on Catmull-Clark Subdivision

作　　者：袁鸿[1] 吕北生[2] 廖文和[1] 

机构地区：[1]南京航空航天大学机电学院,江苏南京210016 [2]西北工业大学机电学院,陕西西安710072

出　　处：《华南理工大学学报（自然科学版）》2008年第8期41-47,共7页Journal of South China University of Technology(Natural Science Edition)

基　　金：国防基础科研项目(K1605061115)

摘　　要：曲面裁剪运算是CAD/CAM领域最重要、最复杂的问题之一,四边形网格在工程CAD/CAM的实际应用中较为广泛.文中基于Catmull-Clark细分,提出一种对平面四边型网格进行操作的曲面裁剪运算:在细分曲面求交完成后,采用局部修改交点处的控制网格拓扑结构和局部修正控制网格顶点位置的方法,实现了对Catmull-Clark细分曲面的裁剪运算。文中还给出了控制网格上任意点在细分曲面上的位置计算推导、裁减算法流程与应用实例.In CAD/CAM engineering, surface trimming is one of the most important and complex problems and quadrangular meshes are widely employed. In this paper, a surface trimming operation based on the Catmull-Clark subdivision is proposed for the quadrangle meshes. In this operation, the topology structure and vertex positions of the control mesh at intersection points are locally modified after the subdivision surface intersection has been finished, thus successfully implementing the surface trimming. The positions of arbitrary point of the control mesh on the subdivision surface are evaluated and the flow and application examples of the trimming algorithm are presented.

关 键 词：Catmull—Clark细分曲面 拓扑结构 曲面裁剪 控制网格 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]