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Deblurring Poissonian Images via Multi-constraint Optimization

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Innovative Approaches and Solutions in Advanced Intelligent Systems

Part of the book series: Studies in Computational Intelligence ((SCI,volume 648))

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Abstract

This paper deals with the restoration of images corrupted by a non-invertible or ill-conditioned linear transform and Poisson noise. The paper is experimental and can be seen as a continuation of “as reported by Harizanov et al. (Epigraphical Projection for Solving Least Squares Anscombe Transformed Constrained Optimization Problems 2013)”. The constraint set in the minimization problem, considered there, was too large and the results tend to oversmooth the initial image. Here, we consider various techniques for restricting this set in order to improve the image quality of the result, and numerically investigate them. They are based on image domain decomposition and give rise to multi-constraint optimization problems.

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Acknowledgments

This research is supported by the project AComIn “Advanced Computing for Innovation”, grant 316087, funded by the FP7 Capacity Program.

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Correspondence to Stanislav Harizanov .

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Harizanov, S. (2016). Deblurring Poissonian Images via Multi-constraint Optimization. In: Margenov, S., Angelova, G., Agre, G. (eds) Innovative Approaches and Solutions in Advanced Intelligent Systems . Studies in Computational Intelligence, vol 648. Springer, Cham. https://doi.org/10.1007/978-3-319-32207-0_13

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  • DOI: https://doi.org/10.1007/978-3-319-32207-0_13

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