A novel gradient projection approach for Fourier-based image restoration
| Autor: | S. Bonettini, M. Prato, Theodore E. Simos, George Psihoyios, Ch. Tsitouras |
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| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: |
Inverse problems
Mathematical optimization image reconstruction Fourier Transform gradient projection methods solar flares Iterative method Inverse Problems ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Image Reconstruction Fourier Based Imaging Image processing Iterative reconstruction Inverse problem NO symbols.namesake Kernel (image processing) Fourier analysis symbols Deconvolution Algorithm Image restoration Mathematics |
| Popis: | This work deals with the ill‐posed inverse problem of reconstructing a two‐dimensional image of an unknown object starting from sparse and nonuniform measurements of its Fourier Transform. In particular, if we consider a priori information about the target image (e.g., the nonnegativity of the pixels), this inverse problem can be reformulated as a constrained optimization problem, in which the stationary points of the objective function can be viewed as the solutions of a deconvolution problem with a suitable kernel. We propose a fast and effective gradient‐projection iterative algorithm to provide regularized solutions of such a deconvolution problem by early stopping the iterations. Preliminary results on a real‐world application in astronomy are presented. |
| Databáze: | OpenAIRE |
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