| Planar cubic hybrid hyperbolic polynomial curve and its shape classification |
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| 作者姓名： | WANG Guozhao YANG Qinmin |
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| 作者单位： | Institute of Computer Graphics and Image Processing, Zhejiang University, Hangzhou 310027, China;Department of Mathematics, Zhejiang University, Hangzhou 310027, China,Institute of Computer Graphics and Image Processing, Zhejiang University, Hangzhou 310027, China;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 planar cubic hybrid hyperbolic polynomial curves and cubic H-Bézier curves are presented.The conditions leading to inflection points and singularities (cusps and loops) are investigated and the shape of these curves is classified.The conclusions enable us to detect inflection points and singularities and get an idea of how to preserve the fair shape when designing such curves.
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| 关 键 词： | H-Bézier curve |
Planar cubic hybrid hyperbolic polynomial curve and its shape classification |
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| WANG Guozhao,YANG Qinmin.Planar cubic hybrid hyperbolic polynomial curve and its shape classification[J].Progress in Natural Science,2004,14(1):41-46. |
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| Authors: | Wang Guozhao Yang Qinmin |
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| Institution: | Institute of Computer Graphics and Image Processing, Zhejiang University, Hangzhou 310027, China;Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | The planar cubic hybrid hyperbolic polynomial curves and cubic H-Bézier curves are presented.The conditions leading to inflection points and singularities (cusps and loops) are investigated and the shape of these curves is classified.The conclusions enable us to detect inflection points and singularities and get an idea of how to preserve the fair shape when designing such curves. |
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| Keywords: | hybrid hyperbolic polynomial curve shape classification inflection points singularities |
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