title: Fractional derivative Fourier plane filter for phase-change visualization.
abstract: Fractional derivatives of two-dimensional images have been discussed theoretically in terms of Fourier optics and computer simulated. Filters that realize the half-order differentiation can be either complex or real. We prove, in terms of fractional calculus, that the semiderivative filter is useful for the visualization of phase changes in a phase object in such a way that the output-image intensity is directly proportional to the first derivative of the input object. We give computer-simulated results of one-dimensional semidifferentiating.
authors.forename: J
authors.initials: J
authors.lastname: Lancis
authors.forename: T
authors.initials: T
authors.lastname: Szoplik
authors.forename: E
authors.initials: E
authors.lastname: Tajahuerce
authors.forename: V
authors.initials: V
authors.lastname: Climent
authors.forename: M
authors.initials: M
authors.lastname: Fernández-Alonso