| Two kinds of B-basis of the algebraic hyperbolic space |
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| 作者姓名： | 李亚娟 汪国昭 |
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| 作者单位： | Department of Mathematics Zhejiang University，Department of Mathematics Zhejiang University Hangzhou 310027，China，Hangzhou 310027，China |
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| 基金项目： | 中国科学院资助项目，国家重点基础研究发展计划(973计划) |
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| 摘 要： | In this paper, two new kinds of B-basis functions called algebraic hyperbolic (AH) Bezier basis and AH B-Spline basis are presented in the space (?)k=span{1,t,...,tk-3,sinht,cosht}, in which K is an arbitrary integer larger than or equal to 3. They share most optimal properties as those of the Bezier basis and B-Spline basis respectively and can represent exactly some remarkable curves and surfaces such as the hyperbola, catenary, hyperbolic spiral and the hyperbolic paraboloid. The generation of tensor product surfaces of the AH B-Spline basis have two forms: AH B-Spline surface and AH T-Spline surface.
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Two kinds of B-basis of the algebraic hyperbolic space |
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| Li Ya-juan,Wang Guo-zhao.Two kinds of B-basis of the algebraic hyperbolic space[J].Journal of Zhejiang University Science,2005,6(7):750-759. |
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| Authors: | Li Ya-juan Wang Guo-zhao |
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| Institution: | (1) Department of Mathematics, Zhejiang University, 310027 Hangzhou, China |
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| Abstract: | In this paper, two new kinds of B-basis functions called algebraic hyperbolic (AH) Bezier basis and AH B-Spline basis most optimal properties as those of the Bezier basis and B-Spline basis respectively and can represent exactly some remarkable curves and surfaces such as the hyperbola, catenary, hyperbolic spiral and the hyperbolic paraboloid. The generation of tensor product surfaces of the AH B-Spline basis have two forms: AH B-Spline surface and AH T-Spline surface. |
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| Keywords: | Algebraic hyperbolic Bezier basis Algebraic hyperbolic B-Spline basis Algebraic hyperbolic Bezier curve Algebraic hyperbolic B-Spline curve |
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