| Trigonometric polynomial B-spline with shape parameter |
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| 作者姓名： | WANG Wentao WANG Guozhao |
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| 作者单位： | Institute of Computer Graphics and Image, Department of Mathematics, Zhejiang University, Hangzhou 310027, China,Institute of Computer Graphics and Image, Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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| 基金项目： | 国家自然科学基金，国家重点基础研究发展计划(973计划) |
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| 摘 要： | The basis function of n order trigonometric polynomial B-spline with shape parameter is constructed by an integral approach. The shape of the constructed curve can be adjusted by changing the shape parameter and it has most of the properties of B-spline. The ellipse and circle can be accurately represented by this basis function.
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| 关 键 词： | trigonometric polynomial B-spline with shape parameter basis function CAGD |
Trigonometric polynomial B-spline with shape parameter |
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| WANG Wentao,WANG Guozhao.Trigonometric polynomial B-spline with shape parameter[J].Progress in Natural Science,2004,14(11):1023-1026. |
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| Authors: | Wang Wentao Wang Guozhao |
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| Institution: | Institute of Computer Graphics and Image, Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | The basis function of n order trigonometric polynomial B-spline with shape parameter is constructed by an integral approach. The shape of the constructed curve can be adjusted by changing the shape parameter and it has most of the properties of B-spline. The ellipse and circle can be accurately represented by this basis function. |
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| Keywords: | trigonometric polynomial B-spline with shape parameter basis function CAGD |
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