Titlebook: Computational Methods for Inverse Problems in Imaging; Marco Donatelli,Stefano Serra-Capizzano Book 2019 Springer Nature Switzerland AG 20

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Marco Donatelli,Stefano Serra-CapizzanoPresents structured regularizing preconditioners for image deblurring.Discusses applications in astronomical and medical imaging.Includes a chapter on variable metric first-order methods

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Structure Preserving Preconditioning for Frame-Based Image Deblurring,nvestigated both in Hilbert and Banach spaces. For deconvolution problems, the classical approach defines preconditioners based on the circular convolution. On the other hand, for . regularization methods, it has been recently shown that a preconditioner preserving the structure of the convolution o

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Non-stationary Structure-Preserving Preconditioning for Image Restoration, discrete ill-posed problems. This paper explores how these preconditioners can be combined with the flexible GMRES iterative method. A new structure-respecting strategy to construct a sequence of regularizing preconditioners is proposed. We show that flexible GMRES applied with these preconditioner

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Numerical Investigation of the Spectral Distribution of Toeplitz-Function Sequences,differential equations. Extensive study has been carried out for Toeplitz matrices . as well as Toeplitz-function matrices ., where .(.) is a certain function. Owing to its importance in developing effective preconditioning approaches, their spectral distribution associated with Lebesgue integrable

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Multiple Image Deblurring with High Dynamic-Range Poisson Data,urces superimposed to smooth structures. A few methods have been proposed for dealing with this problem and their performance is not always satisfactory. In this paper we propose a solution based on the representation, already proposed elsewhere, of the image as the sum of a pointwise component and

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