arrow
Return

Directional Total Variation

delete2012-12-01
delete76
delete
OA
AI
İ
İlker Bayram *
M
Mustafa E. Kamaşak
DOI:10.1109/LSP.2012.2220349delete
deleteOriginal
deleteShare
deleteSave
View PDF
Abstract

Abstract

En 中文
This paper introduces a directional total variation (TV) where the gradients are weighted depending on their direction. The introduced directional TV has increased (and tunable) sensitivity to variations at a selected direction. In order to demonstrate the utility of the directional TV, we consider an image denoising formulation. This formulation requires the realization of the proximal map of the directional TV. Therefore, it is relevant for more general inverse problem settings as well. We derive an algorithm that solves the problem and use the algorithm to study the effects of the parameters of the directional TV.
Keywords:
Directional total variation
image denoising
total variation
AI Summary

AI Summary

Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

IEEE Signal Processing Magazine cover
IEEE Signal Processing Magazine
IF:
9.6
Papers:
1.1W
Citations:
1.7W

Organization

I
Istanbul Technical University
Scholars:
8.9K
Papers: 7.8K
Citations: 7.9K
Cited Papers

Cited Papers

Robustness of single-electron pumps at sub-ppm current accuracy level
err2016-12-20
err0
errOAAI
errF Stein; H Scherer; T Gerster; R Behr; M Götz; E Pesel; C Leicht; N Ubbelohde; T Weimann; K Pierz; H W Schumacher; F Hohls
errShare
errSave
Majorization-minimization algorithms for wavelet-based image restoration
err2007-12-01
err491
PREAI
errFigueiredo, Mario A. T.; Bioucas-Dias, Jose M.; Nowak, Robert D.
errShare
errSave
Nonlinear total variation based noise removal algorithms
err1992-11-01
err0
PREAI
errLeonid I. Rudin; Stanley Osher; Emad Fatemi
errShare
errSave
researcher View more