THE DISCUSSION ABOUT FINITE ITERATION CONVERGENCE OF FRACTAL WAVELET TRANSFORMATION
分形小波变换编码有限步迭代收敛的讨论

For the operator M which is a mean shifted version of IFS(Iterated Function System) in wavelet domain is proved that in practical circumstances the same fixed point can be reached in only few iterations. So, the IFS in wavelet domain may converge without being fully contractive. Then, a contraction factor's upper bound is obtained after relaxing the collage theorem bound and the idea of eventual contractivity introduced by Fisher is explained.