Fractal dimension computation from equal mass partitions.

Chaos

Univ d'Orléans, ISTO, UMR 7327, 45071 Orléans, France; CNRS/INSU, ISTO, UMR 7327, 45071 Orléans, France; and BRGM, ISTO, UMR 7327, BP 36009, 45060 Orléans, France.

Published: September 2014

Numerical methods which utilize partitions of equal-size, including the box-counting method, remain the most popular choice for computing the generalized dimension of multifractal sets. However, it is known that mass-oriented methods generate relatively good results for computing generalized dimensions for important cases where the box-counting method is known to fail. Here, we revisit two mass-oriented methods and discuss their strengths and limitations.

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http://dx.doi.org/10.1063/1.4885778DOI Listing

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