Blind deconvolution of images using optimal sparse representations

  • Authors:
  • M. M. Bronstein;A. M. Bronstein;M. Zibulevsky;Y. Y. Zeevi

  • Affiliations:
  • Dept. of Comput. Sci., Technion - Israel Inst. of Technol., Haifa, Israel;-;-;-

  • Venue:
  • IEEE Transactions on Image Processing
  • Year:
  • 2005

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Abstract

The relative Newton algorithm, previously proposed for quasi-maximum likelihood blind source separation and blind deconvolution of one-dimensional signals is generalized for blind deconvolution of images. Smooth approximation of the absolute value is used as the nonlinear term for sparse sources. In addition, we propose a method of sparsification, which allows blind deconvolution of arbitrary sources, and show how to find optimal sparsifying transformations by supervised learning.