摘要
基于一类C3连续的三角样条基函数,首先分别构造了含参数α的C2和C3连续的三角样条插值曲线,然后通过在基函数中引入参数λ,构造了含两个参数α,λ的形状可调控插值曲线,通过α,λ的不同取值,可得到一类有较好保凸和保单调效果的插值曲线,最后用图例验证了理论的有效性和正确性.
First, this paper constracts a kind of trigonometric spline interpolation curves with parameter α（C^2/C^3 continucity） by a class of trigonometric function bases, then by introducing new parameter λ to the trigonometric function bases, the paper constructs a class of interpolation curves with two shape parameters （α,λ）, by changing the values of a and λ, shape of the interpolation curves can be controlled. Graphics examples illustrate the correctness and the validity of theoretical reasoning.
出处
《大学数学》
北大核心
2006年第2期47-52,共6页
College Mathematics
关键词
C^3连续
三角样条
形状参数
插值曲线
C^3 continuity
trigonometric spline
shape parameter
interpolation curves
