Non-integer differentiation filter in Fourier-image processing

Abstract

In image processing, integer-order differentiation is often used to detect edges, maxima, minima, and points of inflection, especially order 1 used by the gradient and order 2 by the Laplacian. In the present study, non-integer (fractional) differentiation is applied to images which are processed in Fourier space, and the characteristics of differentiation filter are presented.