Smooth multiple B-spline surface fitting with Catmull%ndash;Clark subdivision surfaces for extraordinary corner patches

被引：6

作者：

Weiyin Ma

Nailiang Zhao

机构：

[1] City University of Hong Kong,

[2] Department of Manufacturing Engineering and Engineering Management,undefined

[3] 83 Tat Chee Avenue,undefined

[4] Kowloon,undefined

[5] Hong Kong SAR,undefined

[6] P.R. China E-mail: {mewma,undefined

[7] menlzhao}@cityu.edu.hk,undefined

来源：

The Visual Computer | 2002年 / 18卷

关键词：

Key words: B-spline surfaces – Catmull–Clark subdivision surfaces – Geometric continuity – Surface fitting;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper presents an algorithm for simultaneously fitting smoothly connected multiple surfaces from unorganized measured data. A hybrid mathematical model of B-spline surfaces and Catmull–Clark subdivision surfaces is introduced to represent objects with general quadrilateral topology. The interconnected multiple surfaces are G2 continuous across all surface boundaries except at a finite number of extraordinary corner points where G1 continuity is obtained. The algorithm is purely a linear least-squares fitting procedure without any constraint for maintaining the required geometric continuity. In case of general uniform knots for all surfaces, the final fitted multiple surfaces can also be exported as a set of Catmull–Clark subdivision surfaces with global C2 continuity and local C1 continuity at extraordinary corner points.

引用

页码：415 / 436

页数：21