标题:
双参数有理插值样条Double Parameter Rational Spline Interpolation
作者:
符琳, 卞必顺
关键字:
双参数, 保形, 局部性 Two Parameter; Conformal; Locality
期刊名称:
《Pure Mathematics》, Vol.3 No.4, 2013-07-10
摘要:
双参数有理函数对封闭曲线进行了很好的数学描述。本文提出了双参数有理样条的方法，并对其进行了可行性分析，探究了这种插值函数的保单调性，保凸性，最后用实际的数值例子说明新方法的有效性。算法简易，易于实现。Two parameters of rational functions described good mathematics on a closed curve. This paper presents a method of double parameters of rational spline, and on the feasibility analysis, explored this interpolation function monotonicity, convexity. Actual numerical examples are used to illustrate the effectiveness of the new method. The algorithm is simple and easy to implement.