用C-C细分法和流形方法构造G^2连续的自由型曲面  

Modeling G^2 Continuous Free-Form Surfaces by C-C Subdivision Method and Manifold Method

作　　者：刘浩[1] 廖文和[1] 

机构地区：[1]南京航空航天大学机电工程学院,南京210016

出　　处：《计算机辅助设计与图形学学报》2005年第4期644-650,共7页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家"八六三"高技术研究发展计划(2002AA411030)

摘　　要：通过改进Cotrina等利用流形方法构造n 边曲面片的算法,以C C细分网格奇异点的5 环作为控制网构造出了带有均匀三次B样条边界的n 边曲面片,使得该曲面片和C C细分曲面G2 拼接在此基础上,讨论了C C细分曲面中n 边域的构造和填充,从而为基于任意拓扑网格构造低次G2 连续曲面的问题给出了一个有效的解决方案,实现了用流形方法构造的曲面和C C细分曲面的融合最后。By improving the algorithm to construct n-sided patches given by J. Cotrina et al, a n-sided patch is constructed with uniformly cubic B-spline boundary, whose control mesh is the mesh formed by 5-ring of an extraordinary point in C-C subdivision mesh. The patch can G2 continuously joint with a C-C subdivision surface. On this basis, the question on how to form and fill n-sided holes in C-C subdivision surfaces is discussed. A method is given to solve the problem in modeling low-degree G2 continuous free-form surfaces based on arbitrary topology meshes. The blend is realized between surfaces constructed by manifolds and C-C subdivision surfaces. Finally, several examples are presented.

关 键 词：C-C细分法 流形 G^2连续 B样条 N边域 曲面 

分 类 号：TP391.6[自动化与计算机技术—计算机应用技术]