Blind deconvolution of images using optimal sparse representations

Michael M. Bronstein*, Alexander M. Bronstein, Michael Zibulevsky, Yehoshua Y. Zeevi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)726-736
Number of pages11
JournalIEEE Transactions on Image Processing
Issue number6
StatePublished - Jun 2005
Externally publishedYes


  • Blind deconvolution
  • Quasi-maximum likelihood
  • Relative Newton optimization
  • Sparse representations


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