| Multiple products of B-splines used in CAD system |
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| 作者姓名： | XU Huixi WANG Guojin |
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| 作者单位： | 1. Institute of Images and Graphics, Zhejiang University, Hangzhou 310027, China; 2. State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou 310027, China |
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| 摘 要： | The function upgrade of computer aided design (CAD) system requested that the multiple product of B-spline functions should be represented as a linear combination of some suitable (usually higher-degree) B-splines. In this paper, we apply the theory of spline space and discrete B-splines to deduce the representation of the coefficients of all terms of the linear combination, which can be directly applied to software coding in system development.
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| 关 键 词： | computer aided design (CAD) NURBS Marsden's identity |
Multiple products of B-splines used in CAD system |
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| XU Huixi,WANG Guojin.Multiple products of B-splines used in CAD system[J].Progress in Natural Science,2006,16(4):425-430. |
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| Authors: | XU Huixia WANG Guojin |
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| Institution: | Institute of Images and Graphics, Zhejiang University, Hangzhou 310027, China;State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | The function upgrade of computer aided design (CAD) system requested that the multiple product of B-spline functions should be represented as a linear combination of some suitable (usually higher-degree) B-splines. In this paper, we apply the theory of spline space and discrete B-splines to deduce the representation of the coefficients of all terms of the linear combination, which can be directly applied to software coding in system development. |
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| Keywords: | computer aided design (CAD) NURBS Marsden' s identity |
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