A method for structured linear total least norm on blind deconvolution problem



The regularized structured total least norm (RSTLN) method finds an approximate solutionx and error matrixE to the overdetermined linear system (H+E)x≈b, preserving structure ofH. A new separation scheme by parts of variables for the regularized structured total least norm on blind deconvolution problem is suggested. A method combining the regularized structured total least norm method with a separation by parts of variables can be obtain a better approximated solution and a smaller residual. Computational results for the practical problem with Block Toeplitz with Toeplitz Block structure show the new method ensures more efficiency on image restoration.

AMS Mathematics Subject Classification

65F22 65K10 

Key words and phrases

Blind deconvolution image restoration regularized structured total least norm residual reduction 


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Copyright information

© Korean Society for Computational and Applied Mathematics 2005

Authors and Affiliations

  1. 1.Department of MathematicsChungnam National UniversityDaejeonKorea
  2. 2.Department of Mathematics, Institute for Basic Sciences & College of Natural SciencesChungbuk National UniversityCheongjuKorea

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