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一种复杂形体的双三次B-spline曲面拟合建模方法
Bi-cubic B-spline Surface Fitting of the Complex Surface Configuration
【摘要】 提出了一种用于三次B-spline曲线插值反求控制顶点的递推方法,得到了双三次B-spline曲面新的插值算法.这些算法不需边界条件,也不须求解大维数方程组,便能快速递推反求出全部控制顶点,特别适合复杂形体的整体曲面插值建模.
【Abstract】 A recursive method used to get the control points of a cubic B-spline curve is presentedand a new interpolating algorithm of a bi-cubic B-spline surface is developed. The algorithmcan get all the control points recursively and quickly without handling boundary conditionsand solving a equation with big dimensions and thus is adaptable to the global interpolationof a complex surface configuration.
【关键词】 参数曲面;
插值;
计算机辅助几何设计;
【Key words】 parametric surface; interpolation; computer-aided geometry design;
【Key words】 parametric surface; interpolation; computer-aided geometry design;
- 【文献出处】 武汉交通科技大学学报 ,JOURNAL OF WUHAN TRANSPORTATION UNIVERSITY , 编辑部邮箱 ,1996年03期
- 【分类号】TP391.41
- 【被引频次】5
- 【下载频次】134