Fractal dimension computation from equal mass partitions

Chaos. 2014 Sep;24(3):033106. doi: 10.1063/1.4885778.

Abstract

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.