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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2005, Vol. 6 Issue ( 7): 24-    DOI: 10.1631/jzus.2005.A0750
    
Two kinds of B-basis of the algebraic hyperbolic space*
LI Ya-juan, WANG Guo-zhao
Department of Mathematics, Zhejiang University, Hangzhou 310027, China
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Abstract  In this paper, two new kinds of B-basis functions called algebraic hyperbolic (AH) B¨|zier basis and AH B-Spline basis are presented in the space Gk=span{1,t,¼,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 B¨|zier 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.

Key words： Mathematic Algebraic hyperbolic Bézier basis      Algebraic hyperbolic B-Spline basis      Algebraic hyperbolic Bézier curve      Algebraic hyperbolic B-Spline curve     
Received: 25 October 2004     
CLC:  TP391.72  
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LI Ya-juan
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LI Ya-juan, WANG Guo-zhao. Two kinds of B-basis of the algebraic hyperbolic space*. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6( 7): 24-.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2005.A0750     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2005/V6/I 7/24

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