title: Image deconvolution by nonlinear signal processing.
abstract: We describe a nonlinear optical processor that can perform image deconvolution to restore a smeared or out-of-focus image. In this technique both the smeared image and the blur function are displayed side by side at the input plane of the processor. The joint power spectrum of the input signals is modified and hard clipped/ thresholded to remove the amplitude distortion effects and to restore the correct phase of the original image. The phase information is restored by multiplying the Fourier transform of the blurred image by the conjugate of the phase of the blur function transform. An amplitude mask averaged over an ensemble of images is assigned to the thresholded power spectrum to provide the amplitude magnitude of the restored image. An analysis of the nonlinear processor for image deconvolution is presented. Computer simulation of the proposed technique for a linearly smeared image is provided.
authors.forename: B
authors.initials: B
authors.lastname: Javidi
authors.forename: H J
authors.initials: HJ
authors.lastname: Caulfield
authors.forename: J L
authors.initials: JL
authors.lastname: Horner