Open AccessFractal dimension based on Minkowski‐Bouligand method using exponential dilations
Author(s) -
Luppe M.
Publication year - 2015
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2015.0156
Subject(s) - fractal dimension , minkowski space , dimension (graph theory) , fractal , exponential function , mathematics , mathematical analysis , geometry , artificial intelligence , computer science , pure mathematics
The fractal dimension (FD) is an important feature used for classification and shape recognition. The best method to obtain the FD is the Bouligand‐Minkowski method. However, this method is computationally exhaustive because of the use of the distance transform. Presented is a modification in the method and a proposed architecture, suitable for field programmable gate array implementation that enables calculating the FD in a simple and efficient way.