1. On removing blur in images using least squares solutions
- Author
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Dimitrios Pappas, Predrag S. Stanimirović, Zoran Zdravev, Spiros Chountasis, and Igor Stojanovic
- Subjects
Computer and information sciences ,Theoretical computer science ,General Mathematics ,010102 general mathematics ,02 engineering and technology ,01 natural sciences ,Least squares ,Tikhonov regularization ,Matrix (mathematics) ,Singular value decomposition method ,0202 electrical engineering, electronic engineering, information engineering ,020201 artificial intelligence & image processing ,Statistical analysis ,Electrical engineering, electronic engineering, information engineering ,0101 mathematics ,Algorithm ,Image restoration ,Mathematics - Abstract
The further investigation of the image restoration method introduced in [19, 20] is presented in this paper. Continuing investigations in that area, two additional applications of the method are investigated. More precisely, we consider the possibility to replace the available matrix in the method by the restoration obtained applying the Tikhonov regularization method or the Truncated Singular Value decomposition method. Additionally, statistical analysis of numerical results generated by applying the proposed improvement of image restoration methods is presented. Previously performed numerical experiments as well as new numerical results and the statistical analysis confirm that the least squares approach can be used as a useful tool for improving restored images obtained by other image restoration methods.
- Published
- 2016