title: Fractal dimension computation from equal mass partitions.
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.
authors.affiliation: Department of Physics and Astronomy, Texas Christian University, Fort Worth, Texas 76129, USA.
authors.forename: Yui
authors.initials: Y
authors.lastname: Shiozawa
authors.affiliation: Department of Physics and Astronomy, Texas Christian University, Fort Worth, Texas 76129, USA.
authors.forename: Bruce N
authors.initials: BN
authors.lastname: Miller
authors.affiliation: 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.
authors.forename: Jean-Louis
authors.initials: JL
authors.lastname: Rouet