title: Differential operator approach for Fourier image processing.
abstract: We present a differential operator approach for Fourier image processing. We demonstrate that when the mask in the processor Fourier plane is an analytical function, it can be described by means of a differential operator that acts directly on the input field to give the processed output image. In many cases (e.g., Schlieren imaging) this approach simplifies the calculations, which usually involve the evaluation of convolution integrals, and gives a new insight into the image-processing procedure.
authors.affiliation: Instituto de Física, Facultad de Ciencias, Universidad de la Republica, Montevideo, Uruguay.
authors.forename: Ismael
authors.initials: I
authors.lastname: Núñez
authors.forename: José A
authors.initials: JA
authors.lastname: Ferrari