分形插值函数与垂直压缩因子

Fractal interpolation function and perpendicular contraction factors

讨论一类当垂直压缩因子中有一个取值为0时的分形插值函数(FIF)的性态,证明此类分形插值函数是逐段光滑的,从而进一步说明分形插值函数对垂直压缩因子有较强的依赖性.

The properties of a class of fractal interpolation function（FIF） were discussed.where one of its perpendicular contraction factors was 0.The stepwise smooth property of this function on some intervals was proved,so that the existence of great dependence of FIF on the perpendicular contraction factors was illustrated.