IEEE Trans Image Process - Iterative shrinkage approach to restoration of optical imagery.

Tópicos

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Resumo

The problem of reconstruction of digital images from their degraded measurements is regarded as a problem of central importance in various fields of engineering and imaging sciences. In such cases, the degradation is typically caused by the resolution limitations of an imaging device in use and/or by the destructive influence of measurement noise. Specifically, when the noise obeys a Poisson probability law, standard approaches to the problem of image reconstruction are based upon using fixed-point algorithms which follow the methodology first proposed by Richardson and Lucy. The practice of using these methods, however, shows that their convergence properties tend to deteriorate at relatively high noise levels. Accordingly, in the present paper, a novel method for denoising and/or deblurring of digital images corrupted by Poisson noise is introduced. The proposed method is derived under the assumption that the image of interest can be sparsely represented in the domain of a linear transform. Consequently, a shrinkage-based iterative procedure is proposed, which guarantees the solution to converge to the global maximizer of an associated maximum a posteriori criterion. It is shown in a series of computer-simulated experiments that the proposed method outperforms a number of existing alternatives in terms of stability, precision, and computational efficiency.

Resumo Limpo

problem reconstruct digit imag degrad measur regard problem central import various field engin imag scienc case degrad typic caus resolut limit imag devic use andor destruct influenc measur nois specif nois obey poisson probabl law standard approach problem imag reconstruct base upon use fixedpoint algorithm follow methodolog first propos richardson luci practic use method howev show converg properti tend deterior relat high nois level accord present paper novel method denois andor deblur digit imag corrupt poisson nois introduc propos method deriv assumpt imag interest can spars repres domain linear transform consequ shrinkagebas iter procedur propos guarante solut converg global maxim associ maximum posteriori criterion shown seri computersimul experi propos method outperform number exist altern term stabil precis comput effici

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