多重分形熵与多重分维谱

Multifractal Entropy and Multifractal Dimension Spectrum

本文从分形信息论观点出发,考察多重测度分形,导出基于分形熵比的多重分形维谱函数。人们所熟知的常用以代替分形维数的各种度量将在分维谱意义下加以统一,最后讨论多重分形及其分维谱的应用。

From the view of fractal information theory,the multifractal has been introduced,and the multifractal dimension spectrum function based on the fractal entropy has been investigated.The usual fractal dimensions familiar to all us will be united by the multifractal dimension spectrum.Finally,the applications of the multifractal and its dimension spectrum will be discussed.