Smooth multiple B-spline surface fitting with Catmull%ndash;Clark subdivision surfaces for extraordinary corner patches
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- 作者：Weiyin Ma and Nailiang Zhao
- 关键词：Key words ; B ; spline surfaces – ; Catmull– ; Clark subdivision surfaces – ; Geometric continuity – ; Surface fitting
- 刊名：The Visual Computer
- 出版时间：November 2002
- 出版年：2002
- 期刊代码：142_0178-2789
- 类别：cp
- 卷：18
- 期：7
- 页码：415-436
- 数据来源：sp
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 G 2 continuous across all surface boundaries except at a finite number of extraordinary corner points where G 1 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 C 2 continuity and local C 1 continuity at extraordinary corner points.