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An Algorithm for Total Variation Minimization and Applications

by Antonin Chambolle , 2004
"... We propose an algorithm for minimizing the total variation of an image, and provide a proof of convergence. We show applications to image denoising, zooming, and the computation of the mean curvature motion of interfaces. ..."
Abstract - Cited by 624 (8 self) - Add to MetaCart
We propose an algorithm for minimizing the total variation of an image, and provide a proof of convergence. We show applications to image denoising, zooming, and the computation of the mean curvature motion of interfaces.

Nonlinear total variation based noise removal algorithms

by Leonid I. Rudin, Stanley Osher, Emad Fatemi , 1992
"... A constrained optimization type of numerical algorithm for removing noise from images is presented. The total variation of the image is minimized subject to constraints involving the statistics of the noise. The constraints are imposed using Lagrange multipliers. The solution is obtained using the g ..."
Abstract - Cited by 2271 (51 self) - Add to MetaCart
A constrained optimization type of numerical algorithm for removing noise from images is presented. The total variation of the image is minimized subject to constraints involving the statistics of the noise. The constraints are imposed using Lagrange multipliers. The solution is obtained using

Iterative Methods For Total Variation Denoising

by C. R. Vogel, M. E. Oman - SIAM J. SCI. COMPUT
"... Total Variation (TV) methods are very effective for recovering "blocky", possibly discontinuous, images from noisy data. A fixed point algorithm for minimizing a TV-penalized least squares functional is presented and compared with existing minimization schemes. A variant of the cell-center ..."
Abstract - Cited by 341 (7 self) - Add to MetaCart
Total Variation (TV) methods are very effective for recovering "blocky", possibly discontinuous, images from noisy data. A fixed point algorithm for minimizing a TV-penalized least squares functional is presented and compared with existing minimization schemes. A variant of the cell

Total Variation Blind Deconvolution

by Tony F. Chan, C.K. Wong , 1996
"... In this paper, we present a blind deconvolution algorithm based on the total variational (TV) minimization method proposed in [11]. The motivation for regularizing with the TV norm is that it is extremely effective for recovering edges of images [11] as well as some blurring functions, e.g. motion b ..."
Abstract - Cited by 197 (15 self) - Add to MetaCart
In this paper, we present a blind deconvolution algorithm based on the total variational (TV) minimization method proposed in [11]. The motivation for regularizing with the TV norm is that it is extremely effective for recovering edges of images [11] as well as some blurring functions, e.g. motion

interframe total variation minimization

by Ying Liu, Dimitris A. Pados, Ying Liu, Dimitris A. Pados
"... sensed video via interframe total variation minimization ..."
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sensed video via interframe total variation minimization

total-variation in

by Luzhen Denga, Deling Mia, Peng Hea, Peng Fenga, Pengwei Yua, Mianyi Chena, Zhichao Lib, Jian Wangb, Biao Weia
"... A CT reconstruction approach from sparse ..."
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A CT reconstruction approach from sparse

Total Variation

by Vivek Agarwal
"... method for the selection of ..."
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method for the selection of

and Total Variation

by Laurence Likforman-sulem, Telecom Paris Tech, Jérôme Darbon, Elisa Barney Smith, Laurence Likforman-sulem, Telecom Paristech, Elisa H. Barney Smith
"... ©2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other wo ..."
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©2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. DOI: 10.1109/ICDAR.2009.210 Pre-processing of degraded printed documents by Non-local Means

Minimizing total variation flow

by F. Andreu, C. Ballester, J. M. Mazón - Differential and Integral Equations , 2001
"... (Submitted by: Jerry Goldstein) Abstract. We prove existence and uniqueness of weak solutions for the minimizing total variation flow with initial data in L 1. We prove that the length of the level sets of the solution, i.e., the boundaries of the level sets, decreases with time, as one would expect ..."
Abstract - Cited by 62 (9 self) - Add to MetaCart
(Submitted by: Jerry Goldstein) Abstract. We prove existence and uniqueness of weak solutions for the minimizing total variation flow with initial data in L 1. We prove that the length of the level sets of the solution, i.e., the boundaries of the level sets, decreases with time, as one would

Total variation diminishing Runge-Kutta schemes

by Sigal Gottlieb, Chi-wang Shu - Math. Comp , 1998
"... In this paper we further explore a class of high order TVD �total variation diminishing� Runge-Kutta time discretization initialized in �12�, suitable for solving hyperbolic conser-vation laws with stable spatial discretizations. We illustrate with numerical examples that non-TVD but linearly stable ..."
Abstract - Cited by 171 (13 self) - Add to MetaCart
In this paper we further explore a class of high order TVD �total variation diminishing� Runge-Kutta time discretization initialized in �12�, suitable for solving hyperbolic conser-vation laws with stable spatial discretizations. We illustrate with numerical examples that non-TVD but linearly
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