Smooth multiple B-spline surface fitting with Catmull%ndash;Clark subdivision surfaces for extraordinary corner patches |
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Authors: | Weiyin Ma Nailiang Zhao |
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Affiliation: | (1) City University of Hong Kong, Department of Manufacturing Engineering and Engineering Management, 83 Tat Chee Avenue, Kowloon, Hong Kong SAR, P.R. China E-mail: {mewma, menlzhao}@cityu.edu.hk, HK |
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Abstract: | 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.
Published online: 14 May 2002
Correspondence to: W. Ma |
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Keywords: | : B-spline surfaces – Catmull– Clark subdivision surfaces – Geometric continuity – Surface fitting |
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