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A fast direct point-by-point generating algorithm for B Spline curves and surfaces 被引量:1

A fast direct point-by-point generating algorithm for B Spline curves and surfaces
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摘要 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 trans- formation from B Spline representation to Bézier 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. 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 trans- formation from B Spline representation to Bézier 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.
作者 李重 韩丹夫
出处 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2005年第6期502-506,共5页 浙江大学学报(英文版)A辑(应用物理与工程)
基金 Project (No. G1998030401) supported by the National Natural Sci-ence Foundation of China
关键词 Point-by-point generating algorithm B Spline curve B Spline surface Pixel 点到点发生法 B形键槽曲线 B形键槽表面 像素值 CAD
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