C^3连续的保形分段二次三角Bézier插值曲线

C^3-Continuous Shape Preserving Segmented Quadratic Trigonometric Polynomial Bézier Interpolation Curves

基于二次三角Bézier曲线,在两个相邻型值点之间通过插入两个新的控制点,得到插值的二次三角Bézier曲线,不仅保形,而且达到C3连续,曲线的形状还可通过调节形状参数作局部修改,最后给出了算法和数值实例.

Based on quadratic trigonometric polynomial Brzier curves, the proposed approach of inserting two new control points between each two neighboring date points can make interpolated quadratic trigonometric polynomial Brzier curves. The curves are not only convexity-preserving, but also C^3-continuous. At the same time, the shape of the curves can be modified locally by changing the parameters. Finally, the algorithm and two numerical examples are given.