A variational framework for exemplar-based image inpainting

P Arias, G Facciolo, V Caselles, G Sapiro - International journal of …, 2011 - Springer
Non-local methods for image denoising and inpainting have gained considerable attention
in recent years. This is in part due to their superior performance in textured images, a known …

A guide to the TV zoo

M Burger, ACG Mennucci, S Osher, M Rumpf… - Level Set and PDE …, 2013 - Springer
Total variation methods and similar approaches based on regularizations with ℓ 1-type
norms (and seminorms) have become a very popular tool in image processing and inverse …

Total variation as a local filter

C Louchet, L Moisan - SIAM Journal on Imaging Sciences, 2011 - SIAM
In the Rudin–Osher–Fatemi (ROF) image denoising model, total variation (TV) is used as a
global regularization term. However, as we observe, the local interactions induced by TV do …

Constrained and SNR-Based Solutions for TV-Hilbert Space Image Denoising

JF Aujol, G Gilboa - Journal of Mathematical Imaging and Vision, 2006 - Springer
We examine the general regularization model which is based on total-variation for the
structural part and a Hilbert-space norm for the oscillatory part. This framework generalizes …

A TV based restoration model with local constraints

A Almansa, C Ballester, V Caselles, G Haro - Journal of Scientific …, 2008 - Springer
We propose in this paper a total variation based restoration model which incorporates the
image acquisition model z= h* U+ n (where z represents the observed sampled image, U is …

Anisotropic Cheeger sets and applications

V Caselles, G Facciolo, E Meinhardt - SIAM Journal on Imaging Sciences, 2009 - SIAM
The main purpose of this paper is to develop the mathematical analysis of anisotropic total
variation problems with a degenerate metric and the computation of the associated Cheeger …

Irregular to regular sampling, denoising, and deconvolution

G Facciolo, A Almansa, JF Aujol, V Caselles - Multiscale Modeling & …, 2009 - SIAM
We propose a restoration algorithm for band limited images that considers irregular
(perturbed) sampling, denoising, and deconvolution. We explore the application of a family …

基于非局部总变差的消除不规则采样遥感图像复原方法

徐焕宇, 孙权森, 夏德深 - 测绘学报, 2012 - xb.chinasmp.com
提出一种消除不规则采样的遥感图像复原方法, 该方法结合了ACT 算法和总变差(TV)
图像复原模型以达到同时去除多种图像退化因素的目的, 并且结合非局部均值(NLM) …

[PDF][PDF] Total variation based image denoising and restoration

V Caselles - Proceedings of the International Congress of …, 2006 - Citeseer
This paper is devoted to the total variation (TV) based approach to image denoising and
restoration. The restored image minimizes total variation in the class of images which satisfy …

Structure-texture decomposition by a TV-Gabor model

JF Aujol, G Gilboa, T Chan, S Osher - … Geometric, and Level Set Methods in …, 2005 - Springer
This paper explores new aspects of the image decomposition problem using modern
variational techniques. We aim at splitting an original image f into two components u and v …