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保形参数四次插值算法
AN ALGORITHM FOR CONSTRUCTING SHAPE PRESERVING PARAMETRIC QUARTIC INTERPOLATION
【摘要】 利用四次的Bézier曲线段构造了GC2连续的参数四次插值样条曲线,该样条曲线是保形的和局部的,且计算十分简单,所有的Bézier点由型值点和曲率直接计算产生,避免了求解矢量方程。最后,给出了一个数值实例。
【Abstract】 An algorithm for constructing GC2 continuous parametric curve by a sequence of quartic Bézier segments is presented.The curve is shap preserving to data points,and the local shape modification is possible.Finally,a numerical example illustrates that the algorithm is effective for computing aided geometric design and computer graphics.
【关键词】 CAGD;
保形插值样条;
四次Bézier曲线;
曲率;
【Key words】 CAGD Shape preserving interpolation spline Quartic Bézier curve Curvature;
【Key words】 CAGD Shape preserving interpolation spline Quartic Bézier curve Curvature;
【基金】 湖南省自然科学基金(06JJY4073);国家自然科学基金(60773110)资助
- 【文献出处】 计算机应用与软件 ,Computer Applications and Software , 编辑部邮箱 ,2008年02期
- 【分类号】TP391.4
- 【被引频次】1
- 【下载频次】103