PMID: 16519342Mar 8, 2006Paper

Nonlinear approximation based image recovery using adaptive sparse reconstructions and iterated denoising--Part I: Theory

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Onur G Guleryuz

Abstract

We study the robust estimation of missing regions in images and video using adaptive, sparse reconstructions. Our primary application is on missing regions of pixels containing textures, edges, and other image features that are not readily handled by prevalent estimation and recovery algorithms. We assume that we are given a linear transform that is expected to provide sparse decompositions over missing regions such that a portion of the transform coefficients over missing regions are zero or close to zero. We adaptively determine these small magnitude coefficients through thresholding, establish sparsity constraints, and estimate missing regions in images using information surrounding these regions. Unlike prevalent algorithms, our approach does not necessitate any complex preconditioning, segmentation, or edge detection steps, and it can be written as a sequence of denoising operations. We show that the region types we can effectively estimate in a mean-squared error sense are those for which the given transform provides a close approximation using sparse nonlinear approximants. We show the nature of the constructed estimators and how these estimators relate to the utilized transform and its sparsity over regions of interest....Continue Reading

References

Mar 8, 2006·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Onur G Guleryuz
Feb 2, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Chong-Wah NgoHong-Jiang Zhang
Feb 2, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Marcelo BertalmioStanley Osher
Feb 5, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Jean-Luc StarckDavid L Donoho
Feb 5, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Mohsen GhazelEdward R Vrscay
Feb 8, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Z Alkachouh, M G Bellanger
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Jan 1, 1995·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·X LeeA Leon-Garcia
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Citations

Apr 19, 2015·Computerized Medical Imaging and Graphics : the Official Journal of the Computerized Medical Imaging Society·Artur Przelaskowski
Sep 29, 2009·Computerized Medical Imaging and Graphics : the Official Journal of the Computerized Medical Imaging Society·Jianhua LuoBassem Hiba
Dec 23, 2014·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Zhidan LiFan Chen
Jul 25, 2015·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Quentin BarthélemyJérôme I Mars
Sep 24, 2013·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Ali MoslehAbdessamad Ben Hamza
Oct 11, 2012·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Weisheng DongXin Li
Oct 13, 2012·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Yan-Ran LiBruce W Suter
Feb 5, 2010·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Zongben Xu, Jian Sun
Nov 30, 2012·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Safa CheriguiPatrick Pérez
Dec 12, 2012·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Jie RenZongming Guo
Apr 25, 2009·IEEE Transactions on Bio-medical Engineering·Jianhua LuoIsabelle E Magnin
Dec 13, 2006·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Michael Elad, Michal Aharon
Mar 8, 2006·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Onur G Guleryuz
Apr 4, 2009·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Daniel Persson, Thomas Eriksson
Oct 7, 2010·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Gang Hua, Onur G Guleryuz
Sep 30, 2010·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Xin Li
Sep 29, 2015·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Budianto Budianto, Daniel Lun
Sep 22, 2015·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Javier PortillaIvan Selesnick
Jul 25, 2018·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Tal RemezAlex M Bronstein
Jan 5, 2007·Physics in Medicine and Biology·Wojciech ZbijewskiFreek J Beekman
Jun 19, 2019·Sensors·Chandrakanta OjhaInnocenzo M Pinto

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