(23) 非整数次微分演算によるフーリェ画像処理
北海学園大学工学部研究報告,第34号,pp.97-109, 2007-2
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. The several effects of non-integer differentiation
on image processing are also presented in the concrete form.