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  • Research Article
  • Open Access

Blind Image Deblurring Driven by Nonlinear Processing in the Edge Domain

  • 1Email author,
  • 2,
  • 1 and
  • 1
EURASIP Journal on Advances in Signal Processing20042004:352184

https://doi.org/10.1155/S1110865704404132

  • Received: 2 September 2003
  • Published:

Abstract

This work addresses the problem of blind image deblurring, that is, of recovering an original image observed through one or more unknown linear channels and corrupted by additive noise. We resort to an iterative algorithm, belonging to the class of Bussgang algorithms, based on alternating a linear and a nonlinear image estimation stage. In detail, we investigate the design of a novel nonlinear processing acting on the Radon transform of the image edges. This choice is motivated by the fact that the Radon transform of the image edges well describes the structural image features and the effect of blur, thus simplifying the nonlinearity design. The effect of the nonlinear processing is to thin the blurred image edges and to drive the overall blind restoration algorithm to a sharp, focused image. The performance of the algorithm is assessed by experimental results pertaining to restoration of blurred natural images.

Keywords and phrases

  • blind image restoration
  • Bussgang deconvolution
  • nonlinear processing
  • Radon transform

Authors’ Affiliations

(1)
Dipartimento Infocom, Università degli Studi di Roma "La Sapienza", Via Eudossiana 18, Roma, 00184, Italy
(2)
Dipartimento Elettronica Applicata, Università degli Studi "Roma Tre", Via Della Vasca Navale 84, Roma, 00146, Italy

Copyright

© Colonnese et al. 2004

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