5.3.8.3 Total Variation Restoration

Vogel, C.R., Oman, M.E.,
Iterative methods for total variation denoising,
SIAM_JSC(17), No. 1, 1986, pp. 227-238. BibRef 8600

Li, Y.Y., Santosa, F.,
A Computational Algorithm for Minimizing Total Variation in Image Restoration,
IP(5), No. 6, June 1996, pp. 987-995.
IEEE DOI Link 9607
BibRef

Chan, T.F., Wong, C.K.,
Total Variation Blind Deconvolution,
IP(7), No. 3, March 1998, pp. 370-375.
IEEE DOI Link 9803
BibRef

Hampson, F.J., Pesquet, J.C.,
M-band Nonlinear Subband Decompositions with Perfect Reconstruction,
IP(7), No. 11, November 1998, pp. 1547-1560.
IEEE DOI Link BibRef 9811

Combettes, P.L., Pesquet, J.C.,
Image Restoration Subject to a Total Variation Constraint,
IP(13), No. 9, September 2004, pp. 1213-1222.
IEEE DOI Link 0409
BibRef
Earlier:
Incorporating total variation information in image recovery,
ICIP03(III: 373-376).
IEEE Abstract. 0312
BibRef

Combettes, P.L., Pesquet, J.C.,
Estimating first-order finite-difference information in image restoration problems,
ICIP04(I: 321-324).
IEEE DOI Link 0505
BibRef

Bolte, J., Combettes, P.L., Pesquet, J.C.,
Alternating proximal algorithm for blind image recovery,
ICIP10(1673-1676).
IEEE DOI Link 1009
BibRef

Chan, T.F.[Tony F.], Kang, S.H.[Sung Ha], Shen, J.H.[Jian-Hong],
Total Variation Denoising and Enhancement of Color Images Based on the CB and HSV Color Models,
JVCIR(12), No. 4, December 2001, pp. 422-435.
WWW Version. 0204
See also Total Variation Wavelet Inpainting. BibRef

Zhu, W.[Wei], Chan, T.F.[Tony F.],
Image Denoising Using Mean Curvature of Image Surface,
SIIMS(5), No. 1 2012, pp. 1-32.
WWW Version. 1201
BibRef

Malgouyres, F.,
Minimizing the total variation under a general convex constraint for image restoration,
IP(11), No. 12, December 2002, pp. 1450-1456.
IEEE DOI Link 0301
BibRef
Earlier:
Total variation based oversampling of noisy images,
ScaleSpace01(xx-yy). 0106
BibRef
Earlier:
Combining Total Variation and Wavelet Packet Approaches for Image Deblurring,
LevelSet01(xx-yy). 0106
BibRef

Malgouyres, F.,
Image Compression Through a Projection onto a Polyhedral Set,
JMIV(27), No. 2, February 2007, pp. 193-200.
Springer DOI Link 0704
BibRef

Chambolle, A.[Antonin],
An Algorithm for Total Variation Minimization and Applications,
JMIV(20), No. 1-2, January-March 2004, pp. 89-97.
WWW Version. 0403
BibRef
And:
Total Variation Minimization and a Class of Binary MRF Models,
EMMCVPR05(136-152).
Springer DOI Link 0601
BibRef
Earlier:
Partial differential equations and image processing,
ICIP94(I: 16-20).
IEEE DOI Link 9411
Applications to image denoising, zooming, and the computation of the mean curvature motion of interfaces. BibRef

Jalalzai, K.[Khalid], Chambolle, A.[Antonin],
Enhancement of Blurred and Noisy Images Based on an Original Variant of the Total Variation,
SSVM09(368-376).
Springer DOI Link 0906
BibRef

Aujol, J.F.[Jean-Francois], Kang, S.H.[Sung Ha],
Color image decomposition and restoration,
JVCIR(17), No. 4, August 2006, pp. 916-928.
WWW Version. 0711
Total variation; Structure; Texture; Color; Image decomposition; Image restoration BibRef

Aujol, J.F.[Jean-François], Gilboa, G.[Guy],
Constrained and SNR-Based Solutions for TV-Hilbert Space Image Denoising,
JMIV(26), No. 1-2, November 2006, pp. 217-237.
Springer DOI Link 0701
BibRef

Aujol, J.F.[Jean-François],
Some First-Order Algorithms for Total Variation Based Image Restoration,
JMIV(34), No. 3, July 2009, pp. xx-yy.
Springer DOI Link 0906
BibRef

Duval, V.[Vincent], Aujol, J.F.[Jean-François], Gousseau, Y.[Yann],
A Bias-Variance Approach for the Nonlocal Means,
SIIMS(4), No. 2, 2011, pp. 760-788.
WWW Version. 1110
BibRef

Lysaker, M.[Marius], Tai, X.C.[Xue-Cheng],
Iterative Image Restoration Combining Total Variation Minimization and a Second-Order Functional,
IJCV(66), No. 1, January 2006, pp. 5-18.
Springer DOI Link 0601
BibRef

Marquina, A.[Antonio],
Nonlinear Inverse Scale Space Methods For Total Variation Blind Deconvolution,
SIIMS(2), No. 1, 2009, pp. 64-83. total variation restoration; blind deconvolution; Gaussian blur; denoising; inverse scale space methods
WWW Version.
WWW Version. BibRef 0900

Malgouyres, F., Zeng, T.,
A Predual Proximal Point Algorithm Solving a Non Negative Basis Pursuit Denoising Model,
IJCV(83), No. 3, July 2009, pp. xx-yy.
Springer DOI Link 0904
BibRef

Landi, G.,
A Truncated Lagrange Method for Total Variation-Based Image Restoration,
JMIV(27), No. 2, June 2007, pp. 113-123.
Springer DOI Link 0710
BibRef

Landi, G., Piccolomini, E.L.[E. Loli],
An Algorithm for Image Denoising with Automatic Noise Estimate,
JMIV(34), No. 1, May 2009, pp. xx-yy.
Springer DOI Link 0905
BibRef

Chartrand, R., Staneva, V.,
Total variation regularisation of images corrupted by non-Gaussian noise using a quasi-Newton method,
IET-IPR(2), No. 6, December 2008, pp. 295-303.
WWW Version. 0905
BibRef

Li, F.[Fang], Shen, C.M.[Chao-Min], Fan, J.S.[Jing-Song], Shen, C.L.[Chun-Li],
Image restoration combining a total variational filter and a fourth-order filter,
JVCIR(18), No. 4, August 2007, pp. 322-330.
WWW Version. 0711
Image restoration; Total variation; Fourth-order filter; BV space; BV2 space BibRef

Li, F.[Fang], Shen, C.M.[Chao-Min], Shen, C.L.[Chun-Li], Zhang, G.X.[Gui-Xu],
Variational denoising of partly textured images,
JVCIR(20), No. 4, May 2009, pp. 293-300.
Elsevier DOI Link
WWW Version. 0905
Variational denoising; Total variation; Texture detecting function; Local feature BibRef

Ng, M.K.[Michael K.], Qi, L.Q.[Li-Qun], Yang, Y.F.[Yu-Fei], Huang, Y.M.[Yu-Mei],
On Semismooth Newton's Methods for Total Variation Minimization,
JMIV(27), No. 3, April 2007, pp. 265-276.
Springer DOI Link 0704
BibRef

Yu, G.H.[Gao-Hang], Qi, L.Q.[Li-Qun], Dai, Y.H.[Yu-Hong],
On Nonmonotone Chambolle Gradient Projection Algorithms for Total Variation Image Restoration,
JMIV(35), No. 2, October 2009, pp. xx-yy.
Springer DOI Link 0907
BibRef

Wen, Y.W.[You-Wei], Ng, M.K.[Michael K.], Huang, Y.M.[Yu-Mei],
Efficient Total Variation Minimization Methods for Color Image Restoration,
IP(17), No. 11, November 2008, pp. 1-1.
IEEE DOI Link 0810
BibRef

Beck, A., Teboulle, M.,
Fast Gradient-Based Algorithms for Constrained Total Variation Image Denoising and Deblurring Problems,
IP(18), No. 11, November 2009, pp. 2419-2434.
IEEE DOI Link 0911
BibRef

Wang, Y.L.[Yi-Lun], Yang, J.F.[Jun-Feng], Yin, W.T.[Wo-Tao], Zhang, Y.[Yin],
A New Alternating Minimization Algorithm For Total Variation Image Reconstruction,
SIIMS(1), No. 3, 2008, pp. 248-272.
WWW Version.
WWW Version. half-quadratic; image deblurring; isotropic total variation; fast Fourier transform BibRef 0800

Yang, J.F.[Jun-Feng], Yin, W.T.[Wo-Tao], Zhang, Y.[Yin], Wang, Y.L.[Yi-Lun],
A Fast Algorithm For Edge-Preserving Variational Multichannel Image Restoration,
SIIMS(2), No. 2, 2009, pp. 569-592.
WWW Version.
WWW Version. half-quadratic; cross-channel; image deblurring; total variation; fast Fourier transform BibRef 0900

El Hamidi, A., Menard, M., Lugiez, M., Ghannam, C.,
Weighted and extended total variation for image restoration and decomposition,
PR(43), No. 4, April 2010, pp. 1564-1576.
Elsevier DOI Link
WWW Version. 1002
Convex and non-convex regularization; Texture decomposition; Chambolle's projection; Weighted total variation; Extended total variation BibRef

El Hamidi, A., Ghannam, C., Bailly-Maitre, G., Menard, M.,
Nonstandard diffusion in image restoration and decomposition,
ICIP09(3945-3948).
IEEE DOI Link 0911
BibRef

Dong, Y.Q.[Yi-Qiu], Hintermuller, M.[Michael], Neri, M.[Marrick],
An Efficient Primal-Dual Method For L_1 TV Image Restoration,
SIIMS(2), No. 4, 2009, pp. 1168-1189.
WWW Version.
WWW Version. 1002
deblurring; duality; L1-data fitting; random-valued impulse noise; salt-and-pepper noise; semismooth Newton; total variation regularization BibRef

Dong, Y.Q.[Yi-Qiu], Hintermüller, M.[Michael], Rincon-Camacho, M.M.[M. Monserrat],
Automated Regularization Parameter Selection in Multi-Scale Total Variation Models for Image Restoration,
JMIV(40), No. 1, May 2011, pp. 82-104.
WWW Version. 1103
BibRef
Earlier: A1, A2, Only:
Multi-scale Total Variation with Automated Regularization Parameter Selection for Color Image Restoration,
SSVM09(271-281).
Springer DOI Link 0906
BibRef

Dong, Y.Q.[Yi-Qiu], Hintermüller, M.[Michael], Rincon-Camacho, M.M.[M. Monserrat],
A Multi-Scale Vectorial L-tau-TV Framework for Color Image Restoration,
IJCV(92), No. 3, May 2011, pp. 296-307.
WWW Version. 1103
See also Multiphase Image Segmentation and Modulation Recovery Based on Shape and Topological Sensitivity. See also Inexact Newton-CG-Type Active Contour Approach for the Minimization of the Mumford-Shah Functional, An. BibRef

Chen, Q.A.[Qi-Ang], Montesinos, P.[Philippe], Sun, Q.S.[Quan Sen], Heng, P.A.[Peng Ann], Xia, D.S.[De Shen],
Adaptive total variation denoising based on difference curvature,
IVC(28), No. 3, March 2010, pp. 298-306.
Elsevier DOI Link
WWW Version. 1001
Image denoise; Total variation; Difference curvature; Staircase effect; Loss of details See also double-threshold image binarization method based on edge detector, A. See also Parametric active contours for object tracking based on matching degree image of object contour points. BibRef

Chen, Q.A.[Qi-Ang], Sun, Q.S.[Quan-Sen], Xia, D.S.[De-Shen],
Homogeneity similarity based image denoising,
PR(43), No. 12, December 2010, pp. 4089-4100.
Elsevier DOI Link
WWW Version. 1003
Image denoising; Homogeneity similarity; Patch-based method; Structure similarity BibRef

Wu, C.L.[Chun-Lin], Tai, X.C.[Xue-Cheng],
Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration For ROF, Vectorial TV, and High Order Models,
SIIMS(3), No. 3, 2010, pp. 300-339.
WWW Version.
WWW Version. BibRef 1000
Earlier: A2, A1:
Augmented Lagrangian Method, Dual Methods and Split Bregman Iteration for ROF Model,
SSVM09(502-513).
Springer DOI Link 0906
augmented Lagrangian method; dual method; split Bregman iteration; ROF model; total variation See also Orientation-Matching Minimization for Image Denoising and Inpainting. BibRef

Chen, D.Q.[Dai-Qiang], Cheng, L.Z.[Li-Zhi],
Alternative minimisation algorithm for non-local total variational image deblurring,
IET-IPR(4), No. 5, October 2010, pp. 353-364.
WWW Version. 1011
BibRef

Pang, Z.F.[Zhi-Feng], Yang, Y.F.[Yu-Fei],
A projected gradient algorithm based on the augmented Lagrangian strategy for image restoration and texture extraction,
IVC(29), No. 2-3, February 2011, pp. 117-126.
Elsevier DOI Link
WWW Version. 1101
Augmented Lagrangian strategy; Image restoration; Texture extraction; Projected gradient method; Total variation; High-order PDEs Mixed model which combines the Rudin-Osher-Fatemi (ROF) model See also Nonlinear total variation based noise removal algorithms. with the Lysaker-Lundevold-Tai (LLT) model to reduce the staircase effect and blur. BibRef

Wu, J.[Jian], Tang, C.[Chen],
An efficient decision-based and edge-preserving method for salt-and-pepper noise removal,
PRL(32), No. 15, 1 November 2011, pp. 1974-1981.
Elsevier DOI Link
WWW Version. 1112
Image denoising; Impulse noise; Edge-preservation; Total variation inpainting; The two-stage scheme BibRef

Shaked, E., Michailovich, O.V.[Oleg V.],
Iterative Shrinkage Approach to Restoration of Optical Imagery,
IP(20), No. 2, February 2011, pp. 405-416.
IEEE DOI Link 1102
Poisson noise. BibRef

Michailovich, O.V.[Oleg V.],
An Iterative Shrinkage Approach to Total-Variation Image Restoration,
IP(20), No. 5, May 2011, pp. 1281-1299.
IEEE DOI Link 1104
BibRef

Hao, B.B.[Bin-Bin], Zhu, J.G.[Jian-Guang],
Combining Total Variation and Nonlocal Means Regularization for Edge Preserving Image Deconvolution,
ELCVIA(10), No. 1, 2011, pp. -.
WWW Version. 1112
BibRef

Bras, N.B., Bioucas-Dias, J.M., Martins, R.C., Serra, A.C.,
An Alternating Direction Algorithm for Total Variation Reconstruction of Distributed Parameters,
IP(21), No. 6, June 2012, pp. 3004-3016.
IEEE DOI Link 1202
BibRef

Ono, S.[Shunsuke], Miyata, T.[Takamichi], Yamaoka, K.[Katsunori],
Total variation-wavelet-curvelet regularized optimization for image restoration,
ICIP11(2665-2668).
IEEE DOI Link 1201
BibRef

Ciril, I.[Igor], Darbon, J.[Jérôme],
Image Denoising with a Constrained Discrete Total Variation Scale Space,
DGCI11(465-476).
Springer DOI Link 1104
BibRef

Shu, X.B.[Xian-Biao], Ahuja, N.[Narendra],
Hybrid Compressive Sampling via a New Total Variation TVL1,
ECCV10(VI: 393-404).
Springer DOI Link 1009
I.e. insufficient by Nyquist/Shannon sampling theorem. BibRef

Shishkin, S.L.[Serge L.], Wang, H.C.[Hong-Cheng], Hagen, G.S.[Gregory S.],
Total Variation Minimization with Separable Sensing Operator,
ICISP10(86-93).
Springer DOI Link 1006
for compressed imaging. solve coupled Sylvester equations rather than iterative optimization procedure. Much faster. BibRef

Zeng, T.Y.[Tie-Yong],
Incorporating known features into a total variation dictionary model for source separation,
ICIP08(577-580).
IEEE DOI Link 0810
BibRef

Figueiredo, M.A.T., Dias, J.B., Oliveira, J.P., Nowak, R.D.[Robert D.],
On Total Variation Denoising: A New Majorization-Minimization Algorithm and an Experimental Comparison with Wavalet Denoising,
ICIP06(2633-2636).
IEEE DOI Link 0610
BibRef

Yu, G.Q.A.[Guo-Qi-Ang], Li, L.[Liang], Gu, J.W.[Jian-Wei], Zhang, L.[Li],
Total Variation Based Iterative Image Reconstruction,
CVBIA05(526-534).
Springer DOI Link 0601
BibRef

Chapter on Image Processing, Restoration, Enhancement, Filters, Image and Video Coding continues in
Noise Removal, Adaptive, Non-linear Techniques .