Fractal Dimension Computation From Equal Mass Partitions
Data Analysis, Statistics and Probability
2015-01-22 v1 Mathematical Physics
math.MP
Abstract
While the numerical methods which utilizes partitions of equal-size, including the box-counting method, remain the most popular choice for computing the generalized dimension of multifractal sets, two mass- oriented methods are investigated by applying them to the one-dimensional generalized Cantor set. We show that both mass-oriented methods generate relatively good results for generalized dimensions for important cases where the box-counting method is known to fail. Both the strengths and limitations of the methods are also discussed.
Keywords
Cite
@article{arxiv.1501.05273,
title = {Fractal Dimension Computation From Equal Mass Partitions},
author = {Yui Shiozawa and Bruce N. Miller and Jean-Louis Rouet},
journal= {arXiv preprint arXiv:1501.05273},
year = {2015}
}
Comments
11 pages, 11 figures