PMID: 16519343Mar 8, 2006Paper

Nonlinear approximation based image recovery using adaptive sparse reconstructions and iterated denoising--Part II: Adaptive algorithms

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

Abstract

We combine the main ideas introduced in Part I with adaptive techniques to arrive at a powerful algorithm that estimates missing data in nonstationary signals. The proposed approach operates automatically based on a chosen 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. Unlike prevalent algorithms, our method does not necessitate any complex preconditioning, segmentation, or edge detection steps, and it can be written as a progression of denoising operations. We show that constructing estimates based on nonlinear approximants is fundamentally a nonconvex problem and we propose a progressive algorithm that is designed to deal with this issue directly. The algorithm is applied to images through an extensive set of simulation examples, primarily on missing regions containing textures, edges, and other image features that are not readily handled by established estimation and recovery methods. We discuss the properties required of good transforms, and in conjunction, show the types of regions over which well-known transforms provide good predictors. We further discuss extensions of the algorithm w...Continue Reading

References

Mar 8, 2006·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Onur G Guleryuz
Oct 7, 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·Marcelo BertalmioStanley Osher

❮ Previous
Next ❯

Citations

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
Aug 15, 2014·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Fang Li, Tieyong Zeng
Oct 11, 2012·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Weisheng DongXin Li
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
Feb 27, 2009·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Joost RombautWilfried Philips
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
Dec 20, 2011·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Guoshen YuStéphane Mallat
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
Jan 5, 2007·Physics in Medicine and Biology·Wojciech ZbijewskiFreek J Beekman
Jun 19, 2019·Sensors·Chandrakanta OjhaInnocenzo M Pinto

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Zongben Xu, Jian Sun
IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Onur G Guleryuz
IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Antonio CriminisiKentaro Toyama
IEEE Transactions on Pattern Analysis and Machine Intelligence
Yonatan WexlerMichal Irani
IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Marcelo BertalmíoStanley Osher
© 2021 Meta ULC. All rights reserved