基于小波变换的分形反演问题

Fractal Inversion Problems Based on the Wavelet Transformation

通过对分形反演问题的研究方法和特点的分析 ,讨论了小波处理分形反演问题和在Hausdorff测度空间中分形插值函数的构造、小波变换零点的自相似特征 ,给出了分形插值函数反演的解及算法 ,并通过算例表明了该方法的有效性和可行性。

By the analysis on the research approaches and characters of the fractal inversion problems, a discussion is ventured on how to deal with the fractal inversion problems and on the fractal interpolation function structure in Hansdorff measure space,self-similar characteristics of zero point of wavelet transformation.The solution and algorithm of the inversion of the fractal interpolation function is given with an example to illustrate the availability and feasibility.