| Semi-stationary subdivision operators in geometric modeling |
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| 引用本文： | ZHANG Hongxin,WANG Guojin. Semi-stationary subdivision operators in geometric modeling[J]. 自然科学进展(英文版), 2002, 12(10): 772-776 |
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| 作者姓名： | ZHANG Hongxin WANG Guojin |
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| 作者单位： | State Key Laboratory of CAD & CG, Institute of Computer Images and Graphics, Zhejiang University, Hangzhou 310027, China,State Key Laboratory of CAD & CG, Institute of Computer Images and Graphics, Zhejiang University, Hangzhou 310027, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant No.60173034) and the Major State Basic Research Development Program of China (Grant No. G1998030600) |
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| 摘 要： | Based on the view of operator, a novel uniform subdivision construction method is proposed for free form curve and surface design. This method can give an appropriate manner of parameter change in the subdivision iteration with fewer parameters and better shape control, such as building local revolving surfaces. The convergent property of order 2 subdivision surface is elegantly analyzed using computing techniques of matrix. This method is promised to be valuable in Computer Aided Design and computer graphics, due to the simplicity both in mathematical theory and practical implementation, the similarity to the B-spline curve and surface, G1 continuity, the affine invariability and local flexible control.
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| 关 键 词： | surface modeling subdivision operator subdivision surface geometric continuity |
Semi-stationary subdivision operators in geometric modeling |
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| Zhang Hongxin,WANG Guojin. Semi-stationary subdivision operators in geometric modeling[J]. Progress in Natural Science, 2002, 12(10): 772-776 |
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| Authors: | Zhang Hongxin WANG Guojin |
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| Affiliation: | State Key Laboratory of CAD & CG, Institute of Computer Images and Graphics, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | Based on the view of operator, a novel uniform subdivision construction method is proposed for free form curve and surface design. This method can give an appropriate manner of parameter change in the subdivision iteration with fewer parameters and better shape control, such as building local revolving surfaces. The convergent property of order 2 subdivision surface is elegantly analyzed using computing techniques of matrix. This method is promised to be valuable in Computer Aided Design and computer graphics, due to the simplicity both in mathematical theory and practical implementation, the similarity to the B-spline curve and surface, G1 continuity, the affine invariability and local flexible control. |
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| Keywords: | surface modeling subdivision operator subdivision surface geometric continuity |
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