限制域上分形插值函数的参数界定

Parameter Identification of Fractal Interpolation Function in Restricted Domain

考虑带有函数纵向尺度因子的分形插值函数在限制域上的参数界定问题,给出了函数纵向尺度因子应满足的条件,使相应的分形插值函数被限制在一个给定的区域内.并给出一些数值实例,展示了在限制域上分形插值函数图像与参数变化之间的关系.

We considered the problem of parameter identification of the fractal interpolation functions（FIFs）with function vertical scaling factors in the restricted domain,and gave some of sufficient conditions that function vertical scaling factors should be satisfied,so that the corresponding FIFs were restricted to a given range.Furthermore,we gave some numerical examples to illustrate the relationship between the graphs of the FIFs and the variable parameters in the restricted domain.