메뉴 건너뛰기




Volumn 4, Issue 1, 2010, Pages 191-210

Wavelet inpainting by nonlocal total variation

Author keywords

Inverse problems; Nonlocal total variation; Wavelet inpainting

Indexed keywords


EID: 77349106447     PISSN: 19308337     EISSN: 19308345     Source Type: Journal    
DOI: 10.3934/ipi.2010.4.191     Document Type: Article
Times cited : (86)

References (53)
  • 1
    • 17544363702 scopus 로고    scopus 로고
    • JPEG2000-coded image error concealment exploiting convex sets projections
    • L. Atzori, G. Ginesu and A. Raccis, JPEG2000-coded image error concealment exploiting convex sets projections, IEEE Trans. Image Process, 14 (2005), 487-498.
    • (2005) IEEE Trans. Image Process , vol.14 , pp. 487-498
    • Atzori, L.1    Ginesu, G.2    Raccis, A.3
  • 6
    • 37249000010 scopus 로고    scopus 로고
    • Iterated nonlocal means for texture restoration
    • Springer Berlin/Heidelberg
    • T. Brox and D. Cremers, Iterated nonlocal means for texture restoration, in "Scale Space and Variational Methods in Computer Vision," 4485 (2008), Springer Berlin/Heidelberg, 13-24.
    • (2008) Scale Space and Variational Methods in Computer Vision , vol.4485 , pp. 13-24
    • Brox, T.1    Cremers, D.2
  • 7
    • 33645653318 scopus 로고    scopus 로고
    • A review of image denoising algorithms, with a new one
    • A. Buades, B. Coll and J-M. Morel, A review of image denoising algorithms, with a new one, Multiscale Model. Simul., 4 (2005), 490-530.
    • (2005) Multiscale Model. Simul , vol.4 , pp. 490-530
    • Buades, A.1    Coll, B.2    Morel, J.-M.3
  • 8
    • 84904732030 scopus 로고    scopus 로고
    • Cahn-hilliard inpainting and a generalization for grayvalue images
    • M. Burger, L. He and C. Schoenlieb, Cahn-hilliard inpainting and a generalization for grayvalue images, SIAM J. Imaging Sci., 2 (2009), 1129-1167.
    • (2009) Siam J. Imaging Sci , vol.2 , pp. 1129-1167
    • Burger, M.1    He, L.2    Schoenlieb, C.3
  • 9
    • 78049353841 scopus 로고    scopus 로고
    • Linearized bregman iterations for frame-based image deblurring
    • J.-F. Cai, S. Osher and Z. Shen, Linearized bregman iterations for frame-based image deblurring, SIAM J. Imaging Sci., 2 (2009), 226-252.
    • (2009) Siam J. Imaging Sci , vol.2 , pp. 226-252
    • Cai, J.-F.1    Osher, S.2    Shen, Z.3
  • 10
    • 0036836408 scopus 로고    scopus 로고
    • New multiscale transforms, minimum total variation synthesis: Applications to edge-preserving image reconstruction
    • E. J. Candès and F. Guo, New multiscale transforms, minimum total variation synthesis: Applications to edge-preserving image reconstruction, Signal Processing, 82 (2004), 1519-1543.
    • (2004) Signal Processing , vol.82 , pp. 1519-1543
    • Candès, E.J.1    Guo, F.2
  • 12
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • E. J. Candès, J. Romberg and T. Tao, Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information, IEEE Trans. Inform. Theory, 52 (2006), 489-509.
    • (2006) IEEE Trans. Inform. Theory , vol.52 , pp. 489-509
    • Candès, E.J.1    Romberg, J.2    Tao, T.3
  • 13
    • 69949189208 scopus 로고    scopus 로고
    • Graph-based denoising and classification of hyperspectral imagery using nonlocal operators
    • A. Castrodad, Graph-based denoising and classification of hyperspectral imagery using nonlocal operators, in "Proc. SPIE," 7334 (2009), 73340E.
    • (2009) Proc. Spie , vol.7334
    • Castrodad, A.1
  • 14
    • 0035250066 scopus 로고    scopus 로고
    • The digital TV filter and nonlinear denoising
    • T. F. Chan, S. Osher and J. Shen, The digital TV filter and nonlinear denoising, IEEE Trans. Image Process., 10 (2001), 231-241.
    • (2001) IEEE Trans. Image Process , vol.10 , pp. 231-241
    • Chan, T.F.1    Osher, S.2    Shen, J.3
  • 15
    • 0036301838 scopus 로고    scopus 로고
    • Mathematical models for local non-texture inpainting
    • T. F. Chan and J. Shen, Mathematical models for local non-texture inpainting, SIAM J. Appl. Math, 62 (2001), 1019-1043.
    • (2001) Siam J. Appl. Math , vol.62 , pp. 1019-1043
    • Chan, T.F.1    Shen, J.2
  • 18
    • 0003882879 scopus 로고    scopus 로고
    • American Mathematical Society, Providence, RI
    • F. R. K. Chung, "Spectral Graph Theory," American Mathematical Society, Providence, RI, 1997.
    • (1997) Spectral Graph Theory
    • Chung, F.R.K.1
  • 19
    • 30844438177 scopus 로고    scopus 로고
    • Signal recovery by proximal forward-backward splitting
    • P. L. Combettes and V. R. Wajs, Signal recovery by proximal forward-backward splitting, Multiscale Model. Simul., 4 (2005), 1168-1200.
    • (2005) Multiscale Model. Simul , vol.4 , pp. 1168-1200
    • Combettes, P.L.1    Wajs, V.R.2
  • 22
    • 33749596158 scopus 로고    scopus 로고
    • Image inpainting by correspondence maps: A deterministicapproach
    • Nice
    • L. Demanet, B. Song and T. Chan, Image inpainting by correspondence maps: A deterministicapproach, in "Proc. VLSM conf.," Nice, (2003).
    • (2003) Proc. Vlsm Conf.
    • Demanet, L.1    Song, B.2    Chan, T.3
  • 23
    • 0141975226 scopus 로고    scopus 로고
    • Reconstruction of wavelet coefficients using total variation mini-mization
    • S. Durand and J. Froment, Reconstruction of wavelet coefficients using total variation mini-mization, SIAM J. Sci. Comput., 24 (2003), 1754-1767.
    • (2003) Siam J. Sci. Comput , vol.24 , pp. 1754-1767
    • Durand, S.1    Froment, J.2
  • 24
    • 0033285309 scopus 로고    scopus 로고
    • Texture synthesis by non-parametric sampling
    • A. A. Efros and T. K. Leung, Texture synthesis by non-parametric sampling, in "Proc. Int.Conf. Computer Vision," 2 (1999), 1022-1038.
    • (1999) Proc. Int.conf. Computer Vision , vol.2 , pp. 1022-1038
    • Efros, A.A.1    Leung, T.K.2
  • 25
    • 34249671661 scopus 로고    scopus 로고
    • Analysis versus synthesis in signal priors
    • M. Elad, P. Milanfar and R. Rubinstein, Analysis versus synthesis in signal priors, InverseProblems, 23 (2007), 947-968.
    • (2007) Inverseproblems , vol.23 , pp. 947-968
    • Elad, M.1    Milanfar, P.2    Rubinstein, R.3
  • 26
    • 27844460570 scopus 로고    scopus 로고
    • Simultaneous cartoon and texture image in-painting using morphological component analysis (MCA)
    • M. Elad, J. Starck, P. Querre and D. Donoho, Simultaneous cartoon and texture image in-painting using morphological component analysis (MCA), Appl. Comput. Harmon. Anal., 19 (2005),340-358.
    • (2005) Appl. Comput. Harmon. Anal , vol.19 , pp. 340-358
    • Elad, M.1    Starck, J.2    Querre, P.3    Donoho, D.4
  • 27
    • 45949105032 scopus 로고    scopus 로고
    • Nonlocal discrete regularization on weightedgraphs: A framework for image and manifold processing
    • A. Elmoataz, O. Lezoray and S. Bougleux, Nonlocal discrete regularization on weightedgraphs: a framework for image and manifold processing, IEEE Trans. Image Process, 17 (2008),1047-1060.
    • (2008) IEEE Trans. Image Process , vol.17 , pp. 1047-1060
    • Elmoataz, A.1    Lezoray, O.2    Bougleux, S.3
  • 28
    • 0036672270 scopus 로고    scopus 로고
    • Digital inpainting based on the mumford-shah-euler image model
    • S. Esedoglu and J. Shen, Digital inpainting based on the mumford-shah-euler image model, European J. Appl. Math., 13 (2002), 353-370.
    • (2002) European J. Appl. Math , vol.13 , pp. 353-370
    • Esedoglu, S.1    Shen, J.2
  • 29
    • 41549098470 scopus 로고    scopus 로고
    • Nonlocal linear image regularization and supervised segmentation
    • G. Gilboa and S. Osher, Nonlocal linear image regularization and supervised segmentation, Multiscale Model. Simul., 6 (2007), 595-630.
    • (2007) Multiscale Model. Simul , vol.6 , pp. 595-630
    • Gilboa, G.1    Osher, S.2
  • 30
    • 57049132103 scopus 로고    scopus 로고
    • Nonlocal operators with applications to image processing
    • G. Gilboa and S. Osher, Nonlocal operators with applications to image processing, MultiscaleModel. Simul., 7 (2008), 1005-1028.
    • (2008) Multiscalemodel. Simul , vol.7 , pp. 1005-1028
    • Gilboa, G.1    Osher, S.2
  • 32
    • 69649095451 scopus 로고    scopus 로고
    • 1-regularized mini-mization with applications to compressed sensing
    • 1-regularized mini-mization with applications to compressed sensing, SIAM Journal on Optimization, 19 (2008), 1107-1130.
    • (2008) Siam Journal On Optimization , vol.19 , pp. 1107-1130
    • Hale, E.T.1    Yin, W.2    Zhang, Y.3
  • 34
    • 0031117627 scopus 로고    scopus 로고
    • Subband coded image reconstruction for lossy packed networks
    • S. S. Hemami and R. M. Gray, Subband coded image reconstruction for lossy packed networks,IEEE Trans. Image Process., 6 (1997), 1466-1477.
    • (1997) IEEE Trans. Image Process , vol.6 , pp. 1466-1477
    • Hemami, S.S.1    Gray, R.M.2
  • 38
    • 77951272520 scopus 로고    scopus 로고
    • Development and optimization of regularized tomographic reconstruction algorithms utilizing equally-sloped tomography
    • to appear
    • Y. Mao, B. Fahimian, S. Osher and J. Miao, Development and optimization of regularized tomographic reconstruction algorithms utilizing equally-sloped tomography, IEEE Trans. Image Process, to appear.
    • IEEE Trans. Image Process
    • Mao, Y.1    Fahimian, B.2    Osher, S.3    Miao, J.4
  • 40
    • 0041356704 scopus 로고
    • Fonctions convexes duales et points proximaux dans un espace hilbertien
    • J.-J. Moreau, Fonctions convexes duales et points proximaux dans un espace hilbertien, C. R. Acad. Sci. Paris, 255 (1962), 2897-2899.
    • (1962) C. R. Acad. Sci. Paris , vol.255 , pp. 2897-2899
    • Moreau, J.-J.1
  • 41
    • 33646565692 scopus 로고    scopus 로고
    • Using an oriented PDE to repair image textures
    • (Eds,N. Paragios et al.), Springer Berlin/Heidelberg
    • Y. Niu and T. Poston, Using an oriented PDE to repair image textures, in "Variational,Geometric, and Level Set Methods in Computer Vision" (Eds,N. Paragios et al.), Springer Berlin/Heidelberg, 3752 (2005), 61-72.
    • (2005) Variational,geometric, and Level Set Methods in Computer Vision , vol.3752 , pp. 61-72
    • Niu, Y.1    Poston, T.2
  • 42
    • 19844370110 scopus 로고    scopus 로고
    • An iterative regularization method fortotal variation-based image restoration
    • S. Osher, M. Burger, D. Goldfarb, J. Xu and W. Yin, An iterative regularization method fortotal variation-based image restoration, Multiscale Model. and Simu., 4 (2005), 460-489.
    • (2005) Multiscale Model. and Simu , vol.4 , pp. 460-489
    • Osher, S.1    Burger, M.2    Goldfarb, D.3    Xu, J.4    Yin, W.5
  • 43
    • 77349126814 scopus 로고    scopus 로고
    • Fast linearized bregman iteration for compressivesensing and sparse denoising
    • S. Osher, Y. Mao, B. Dong and W. Yin, Fast linearized bregman iteration for compressivesensing and sparse denoising, Communications in Mathematical Sciences, 8 (2010), 93-111.
    • (2010) Communications in Mathematical Sciences , vol.8 , pp. 93-111
    • Osher, S.1    Mao, Y.2    Dong, B.3    Yin, W.4
  • 44
    • 55149083501 scopus 로고    scopus 로고
    • Image processing with nonlocal spectral bases
    • G. Peyré, Image processing with nonlocal spectral bases, Multiscale Model. Simul., 7 (2008), 703-730.
    • (2008) Multiscale Model. Simul , vol.7 , pp. 703-730
    • Peyré, G.1
  • 46
    • 0037854586 scopus 로고    scopus 로고
    • Structure and texture filling-in of missing image blocks in wireless transmission and compression
    • S. D. Rane, G. Sapiro and M. Bertalmio, Structure and texture filling-in of missing image blocks in wireless transmission and compression, IEEE Trans. Image Process., 12 (2003), 296-303.
    • (2003) IEEE Trans. Image Process , vol.12 , pp. 296-303
    • Rane, S.D.1    Sapiro, G.2    Bertalmio, M.3
  • 47
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • L. I. Rudin, S. Osher and E. Fatemi, Nonlinear total variation based noise removal algorithms, Physica D., 60 (1992), 259-268.
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.I.1    Osher, S.2    Fatemi, E.3
  • 48
    • 0029291015 scopus 로고
    • Concealment of damaged block transform coded images using projections onto convex sets
    • H. Sun and W. Kwok, Concealment of damaged block transform coded images using projections onto convex sets, IEEE Trans. Image Process., 4 (1995), 470-477.
    • (1995) IEEE Trans. Image Process , vol.4 , pp. 470-477
    • Sun, H.1    Kwok, W.2
  • 51
    • 33646565007 scopus 로고    scopus 로고
    • Constrained total variation minimization and application in computerized tomography
    • Springer Berlin/Heidelberg
    • X. Zhang and J. Froment, Constrained total variation minimization and application in computerized tomography, in "EMMCVPR05," Springer Berlin/Heidelberg, 3757 (2005), 456-472.
    • (2005) EMMCVPR05 , vol.3757 , pp. 456-472
    • Zhang, X.1    Froment, J.2
  • 52
    • 33744792252 scopus 로고    scopus 로고
    • Regularization on discrete spaces
    • D. Zhou and B. Schölkopf, Regularization on discrete spaces, Pattern Recognition, 361 (2005), 361-368.
    • (2005) Pattern Recognition , vol.361 , pp. 361-368
    • Zhou, D.1    Schölkopf, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.