Extensions of the Justen---Ramlau blind deconvolution method

  • Authors:
  • Tristan A. Hearn;Lothar Reichel

  • Affiliations:
  • NASA Glenn Research Center, Cleveland, USA 44135 and Department of Mathematical Sciences, Kent State University, Kent, USA 44242;Department of Mathematical Sciences, Kent State University, Kent, USA 44242

  • Venue:
  • Advances in Computational Mathematics
  • Year:
  • 2013

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Abstract

Blind deconvolution problems arise in many image restoration applications. Most available blind deconvolution methods are iterative. Recently, Justen and Ramlau proposed a novel non-iterative blind deconvolution method. The method was derived under the assumption of periodic boundary conditions. These boundary conditions may introduce oscillatory artifacts into the computed restoration. We describe extensions of the Justen---Ramlau method that allow the use of Neumann and antireflective boundary conditions.