Fourier Descriptors and Fractal Dimension

Softwares for Grain Shape Analysis

Abstract

Application programs calculating the Fourier descriptors and fractal dimension for plane closed curve are presented. The Fourier descriptors are coefficients of the Fourier transform with an arc-length coordinate which enables to apply the plane closed curve with complex geometry of more than two-valued function in the normal polar coordinate. Fractal dimension will be another type of grain shape characterization method. we use the simplest method in which the Fractal dimension, D is defined by -d (log N) /d (log b), where N is the segment numberwith divider opening of b.