Adaptive regularization with the structure tensor

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Virginia EstellersXavier Bresson

Abstract

Natural images exhibit geometric structures that are informative of the properties of the underlying scene. Modern image processing algorithms respect such characteristics by employing regularizers that capture the statistics of natural images. For instance, total variation (TV) respects the highly kurtotic distribution of the pointwise gradient by allowing for large magnitude outlayers. However, the gradient magnitude alone does not capture the directionality and scale of local structures in natural images. The structure tensor provides a more meaningful description of gradient information as it describes both the size and orientation of the image gradients in a neighborhood of each point. Based on this observation, we propose a variational model for image reconstruction that employs a regularization functional adapted to the local geometry of image by means of its structure tensor. Our method alternates two minimization steps: 1) robust estimation of the structure tensor as a semidefinite program and 2) reconstruction of the image with an adaptive regularizer defined from this tensor. This two-step procedure allows us to extend anisotropic diffusion into the convex setting and develop robust, efficient, and easy-to-code algor...Continue Reading

References

Feb 4, 2005·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·P G BatchelorA Connelly
Jun 22, 2006·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Vincent ArsignyNicholas Ayache
Jun 29, 2006·British Journal of Haematology·Kenichi A TanakaJerrold H Levy
Aug 12, 2006·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Guy GilboaYehoshua Y Zeevi
Sep 22, 2006·Blood Coagulation & Fibrinolysis : an International Journal in Haemostasis and Thrombosis·Fania SzlamKenichi A Tanaka
Aug 11, 2007·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Kostadin DabovKaren Egiazarian
Feb 16, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·P Blomgren, T F Chan
Feb 16, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·N SochenR Malladi
Feb 16, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·J WeickertM A Viergever
Jul 1, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Abderrahim ElmoatazSébastien Bougleux
May 1, 2010·IEEE Transactions on Pattern Analysis and Machine Intelligence·Marco Loog, François Lauze
Sep 14, 2010·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Mário A T Figueiredo, José M Bioucas-Dias
Mar 27, 2013·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Virginia EstellersXavier Bresson

❮ Previous
Next ❯

Citations

May 11, 2016·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Nasser Eslahi, Ali Aghagolzadeh
Aug 4, 2018·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Haosen Liu, Shan Tan
May 28, 2019·Journal of Applied Clinical Medical Physics·Tiejun YangLu Tang

❮ 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
Virginia EstellersXavier Bresson
IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Miyoun JungLuminita A Vese
IEEE Transactions on Cybernetics
Haichao ZhangThomas S Huang
IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Guy GilboaYehoshua Y Zeevi
Medical Image Computing and Computer-assisted Intervention : MICCAI
Nicolas Wiest-DaessléChristian Barillot
© 2021 Meta ULC. All rights reserved