两相邻Said-Ball曲线的近似合并  

Approximate merging of a pair of Said-Ball curves

作　　者：郭清伟[1] 吴燕玲[2] 储先华[1] 

机构地区：[1]合肥工业大学理学院,安徽合肥230009 [2]安徽大学电器系,安徽合肥230001

出　　处：《合肥工业大学学报（自然科学版）》2005年第10期1356-1360,共5页Journal of Hefei University of Technology：Natural Science

摘　　要：利用Said-Ball基函数和Bernste in基函数之间的关系,结合两相邻Béz ier曲线的近似合并方法,给出两相邻Said-Ball曲线的近似合并方法。该法有以下特点:(1)可直接得到合并曲线的控制顶点,(2)不论待合并的两相邻曲线的次数是否相同,均可直接合并,(3)不需对原曲线进行升阶变换,直接提高合并曲线的次数,就可以得到更高阶的合并曲线。在合并过程中,考虑了合并曲线在左右端点处与原曲线达到高阶插值的合并。最后给出数值例子。The method of approximate merging of two adjacent Said-Ball curves is discussed based on the relation between Said-Ball base function and Bernstein base function and the approximate merging of two adjacent Bézier curves. The presented method has the following three characteristics： （1） the control points can be calculated by the explicit representation; （2） the merging can be done directly no matter whether the degrees of two adjacent original Said-Ball curves are equal or not; （3） the merged curve with a higher degree can be achieved through enhancing the degree of the merged curve directly, and there is no need to elevate the degree of two original adjacent Said-Ball curves. The merging when the merged curve and two original curves satisfy higher order interpolation at the left and right endpoints is also discussed. Numerical examples are given.

关 键 词：Said—Ball曲线 合并 控制顶点 端点插值 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]