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A fast direct point-by-point generating algorithm for B Spline curves and surfaces |
LI Zhong, HAN Dan-fu |
Department of Information and Computing Science, Zhejiang University of Sciences, Hangzhou 310033, China; Department of Mathematics, Zhejiang University, Hangzhou 310027, China; Department of Computer Science and Engineering, Shanghai Jiaotong University, Shanghai 200030, China |
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Abstract Traditional generating algorithms for B Spline curves and surfaces require approximation methods where how to increment the parameter to get the best approximation is problematic; or they take the pixel-based method needing matrix transformation from B Spline representation to B¨|zier form. Here, a fast, direct point-by-point generating algorithm for B Spline curves and surfaces is presented. The algorithm does not need matrix transformation, can be used for uniform or nonuniform B Spline curves and surfaces of any degree, and has high generating speed and good rendering accuracy.
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Received: 02 February 2004
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