Fractal dimension based on Minkowski-Bouligand method using exponential dilations

摘要

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.