منابع مشابه
Higuchi Dimension of Digital Images
There exist several methods for calculating the fractal dimension of objects represented as 2D digital images. For example, Box counting, Minkowski dilation or Fourier analysis can be employed. However, there appear to be some limitations. It is not possible to calculate only the fractal dimension of an irregular region of interest in an image or to perform the calculations in a particular dire...
متن کاملCorrection: Higuchi Dimension of Digital Images
In equation 4, the two brackets surrounding [N-m/d] should be replaced by floor function brackets. Please view the correct equation here.
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Most of the known methods for estimating the fractal dimension of fractal sets are based on the evaluation of a single geometric characteristic, e.g. the volume of its parallel sets. We propose a method involving the evaluation of several geometric characteristics, namely all the intrinsic volumes (i.e. volume, surface area, Euler characteristic etc.) of the parallel sets of a fractal. Motivate...
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The fractal structure of real world objects is often analyzed using digital images. In this context, the compression fractal dimension is put forward. It provides a simple method for the direct estimation of the dimension of fractals stored as digital image files. The computational scheme can be implemented using readily available free software. Its simplicity also makes it very interesting for...
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ژورنال
عنوان ژورنال: PLoS ONE
سال: 2011
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0024796