A program for fractal and multifractal analysis of two-dimensional binary images: Computer algorithms versus mathematical theory

A program for fractal and multifractal analysis of two-dimensional binary images: Computer algorithms versus mathematical theory
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DOI：
10.1016/j.geoderma.2006.03.023
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发表时间：
2006-10
期刊：
Geoderma
影响因子：
6.1
通讯作者：
E. Perrier;A. Tarquis;A. Dathe
E. Perrier;A. Tarquis;A. Dathe
中科院分区：
农林科学1区
文献类型：
--
作者：
E. Perrier;A. Tarquis;A. Dathe

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在本文中，我们提出了一个工具，进行多重分形分析的二进制，二维图像通过计算rsamnyi D(q)维数和相关的统计回归。（单）分维的估计对应于矩阶为q=0的特殊情况。
In this paper we present a tool to carry out the multifractal analysis of binary, two-dimensional images through the calculation of the Rényi D(q) dimensions and associated statistical regressions. The estimation of a (mono)fractal dimension corresponds to the special case where the moment order is q=0.