Spatially Adaptive Intensity Bounds for Image Restoration

<p/> <p>Spatially-adaptive intensity bounds on the image estimate are shown to be an effective means of regularising the ill-posed image restoration problem. For blind restoration, the local intensity constraints also help to further define the solution, thereby reducing the number of mu...

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Main Authors: Stathaki Tania, Katsaggelos Aggelos K, May Kaaren L
Format: Article
Language:English
Published: SpringerOpen 2003-01-01
Series:EURASIP Journal on Advances in Signal Processing
Subjects:
Online Access:http://dx.doi.org/10.1155/S1110865703308066
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author Stathaki Tania
Katsaggelos Aggelos K
May Kaaren L
author_facet Stathaki Tania
Katsaggelos Aggelos K
May Kaaren L
author_sort Stathaki Tania
collection DOAJ
description <p/> <p>Spatially-adaptive intensity bounds on the image estimate are shown to be an effective means of regularising the ill-posed image restoration problem. For blind restoration, the local intensity constraints also help to further define the solution, thereby reducing the number of multiple solutions and local minima. The bounds are defined in terms of the local statistics of the image estimate and a control parameter which determines the scale of the bounds. Guidelines for choosing this parameter are developed in the context of classical (nonblind) image restoration. The intensity bounds are applied by means of the gradient projection method, and conditions for convergence are derived when the bounds are refined using the current image estimate. Based on this method, a new alternating constrained minimisation approach is proposed for blind image restoration. On the basis of the experimental results provided, it is found that local intensity bounds offer a simple, flexible method of constraining both the nonblind and blind restoration problems.</p>
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spelling doaj.art-95eed312a64d451c9b87c234610589252022-12-22T03:43:15ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802003-01-01200312250181Spatially Adaptive Intensity Bounds for Image RestorationStathaki TaniaKatsaggelos Aggelos KMay Kaaren L<p/> <p>Spatially-adaptive intensity bounds on the image estimate are shown to be an effective means of regularising the ill-posed image restoration problem. For blind restoration, the local intensity constraints also help to further define the solution, thereby reducing the number of multiple solutions and local minima. The bounds are defined in terms of the local statistics of the image estimate and a control parameter which determines the scale of the bounds. Guidelines for choosing this parameter are developed in the context of classical (nonblind) image restoration. The intensity bounds are applied by means of the gradient projection method, and conditions for convergence are derived when the bounds are refined using the current image estimate. Based on this method, a new alternating constrained minimisation approach is proposed for blind image restoration. On the basis of the experimental results provided, it is found that local intensity bounds offer a simple, flexible method of constraining both the nonblind and blind restoration problems.</p>http://dx.doi.org/10.1155/S1110865703308066image resolutionblur identificationblind image restorationset-theoretic estimation
spellingShingle Stathaki Tania
Katsaggelos Aggelos K
May Kaaren L
Spatially Adaptive Intensity Bounds for Image Restoration
EURASIP Journal on Advances in Signal Processing
image resolution
blur identification
blind image restoration
set-theoretic estimation
title Spatially Adaptive Intensity Bounds for Image Restoration
title_full Spatially Adaptive Intensity Bounds for Image Restoration
title_fullStr Spatially Adaptive Intensity Bounds for Image Restoration
title_full_unstemmed Spatially Adaptive Intensity Bounds for Image Restoration
title_short Spatially Adaptive Intensity Bounds for Image Restoration
title_sort spatially adaptive intensity bounds for image restoration
topic image resolution
blur identification
blind image restoration
set-theoretic estimation
url http://dx.doi.org/10.1155/S1110865703308066
work_keys_str_mv AT stathakitania spatiallyadaptiveintensityboundsforimagerestoration
AT katsaggelosaggelosk spatiallyadaptiveintensityboundsforimagerestoration
AT maykaarenl spatiallyadaptiveintensityboundsforimagerestoration