메뉴 건너뛰기




Volumn 4, Issue 5, 2010, Pages 353-364

Alternative minimisation algorithm for non-local total variational image deblurring

Author keywords

[No Author keywords available]

Indexed keywords

BREGMAN ITERATION; CALCULATION QUANTITY; IMAGE DEBLURRING; ITERATIVE ALGORITHM; LINEAR CONVERGENCE; NONLOCAL; OPTIMISATIONS; PENALTY PARAMETERS; REGULARISATION; SPEED-UPS; VARIABLE SPLITTING; VARIATIONAL MODELS;

EID: 77957340547     PISSN: 17519659     EISSN: None     Source Type: Journal    
DOI: 10.1049/iet-ipr.2009.0186     Document Type: Article
Times cited : (20)

References (31)
  • 1
    • 0000847697 scopus 로고    scopus 로고
    • Linear and nonlinear image deblurring: a documented study
    • 0036-1429
    • Carasso, A.S.: 'Linear and nonlinear image deblurring: a documented study', SIAM J. Numer. Anal., 1999, 36, (6), p. 1659-1689, 0036-1429
    • (1999) SIAM J. Numer. Anal. , vol.36 , Issue.6 , pp. 1659-1689
    • Carasso, A.S.1
  • 2
    • 0003429177 scopus 로고
    • Digital image restoration
    • Springer-Verlag
    • Katsaggelos, A.K.: 'Digital image restoration', (Springer-Verlag 1991)
    • (1991)
    • Katsaggelos, A.K.1
  • 3
    • 78649765600 scopus 로고    scopus 로고
    • Iteratively solving linear inverse problems under general convex constraints
    • Daubechies, I. Teschke, G. Vese, L.: 'Iteratively solving linear inverse problems under general convex constraints', Inverse Probl. Imaging, 2007, 1, p. 29-46
    • (2007) Inverse Probl. Imaging , vol.1 , pp. 29-46
    • Daubechies, I.1    Teschke, G.2    Vese, L.3
  • 4
    • 0003664883 scopus 로고
    • Solution of ill-posed problems
    • Wiley
    • Tikhonov, A. Arsenin, Y.: 'Solution of ill-posed problems', (Wiley 1977)
    • (1977)
    • Tikhonov, A.1    Arsenin, Y.2
  • 5
    • 84996774871 scopus 로고
    • Total variation based image restoration with free local constraints
    • Austin, USA.
    • Rudin, L. Osher, S.: 'Total variation based image restoration with free local constraints', Proc. First IEEE ICIP, Austin, USA 1994, p. 31-35
    • (1994) Proc. First IEEE ICIP , pp. 31-35
    • Rudin, L.1    Osher, S.2
  • 6
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • Rudin, L. Osher, S. Fatemi, E.: 'Nonlinear total variation based noise removal algorithms', Phys. D, 1992, 60, p. 259-268
    • (1992) Phys. D , vol.60 , pp. 259-268
    • Rudin, L.1    Osher, S.2    Fatemi, E.3
  • 7
    • 0003754684 scopus 로고    scopus 로고
    • Level set methods and dynamic implicit surfaces
    • Springer
    • Osher, S. Fedkiw, R.: 'Level set methods and dynamic implicit surfaces', (Springer 2003)
    • (2003)
    • Osher, S.1    Fedkiw, R.2
  • 8
    • 45849138905 scopus 로고    scopus 로고
    • Denoising of frame coefficients using , l1 data-fidelity term and edge preserving regularization
    • Durand, S. Nikolova, M.: 'Denoising of frame coefficients using , l1 data-fidelity term and edge preserving regularization', SIAM Multiscale Model. Simul., 2007, 6, (2), p. 547-576
    • (2007) SIAM Multiscale Model. Simul. , vol.6 , Issue.2 , pp. 547-576
    • Durand, S.1    Nikolova, M.2
  • 10
    • 33845467001 scopus 로고    scopus 로고
    • Deblurring and denoising of images by nonlocal functional
    • Kindermann, S. Osher, S. Jones, P.W.: 'Deblurring and denoising of images by nonlocal functional', SIAM Multiscale Model Simul., 2005, 4, (4), p. 1091-1115
    • (2005) SIAM Multiscale Model Simul. , vol.4 , Issue.4 , pp. 1091-1115
    • Kindermann, S.1    Osher, S.2    Jones, P.W.3
  • 11
    • 41549098470 scopus 로고    scopus 로고
    • Nonlocal linear image regularization and supervised segmentation
    • Gilboa, G. Osher, S.: 'Nonlocal linear image regularization and supervised segmentation', SIAM Multiscale Model. Simul., 2007, 6, (2), p. 595-630
    • (2007) SIAM Multiscale Model. Simul. , vol.6 , Issue.2 , pp. 595-630
    • Gilboa, G.1    Osher, S.2
  • 12
    • 57049132103 scopus 로고    scopus 로고
    • Nonlocal operators with applications to image processing
    • Gilboa, G. Osher, S.: 'Nonlocal operators with applications to image processing', Multiscale Model. Simul., 2008, 7, (3), p. 1005-1028
    • (2008) Multiscale Model. Simul. , vol.7 , Issue.3 , pp. 1005-1028
    • Gilboa, G.1    Osher, S.2
  • 13
    • 1242352408 scopus 로고    scopus 로고
    • An algorithm for total variation minimization and applications
    • Chambolle, A.: 'An algorithm for total variation minimization and applications', J. Math. Im. Vis., 2004, 20, p. 89-97
    • (2004) J. Math. Im. Vis. , vol.20 , pp. 89-97
    • Chambolle, A.1
  • 14
    • 0742286180 scopus 로고    scopus 로고
    • What energy functions can be minimized via graph cuts?
    • 0162-8828
    • Kolmogorov, V. Zabih, R.: 'What energy functions can be minimized via graph cuts?', IEEE Trans. Pattern Anal. Mach. Intell., 2004, 26, (2), p. 147-159, 0162-8828
    • (2004) IEEE Trans. Pattern Anal. Mach. Intell. , vol.26 , Issue.2 , pp. 147-159
    • Kolmogorov, V.1    Zabih, R.2
  • 17
    • 78049353841 scopus 로고    scopus 로고
    • Linearized Bregman iterations for frame-based image deblurring
    • Cai, J.-F. Osher, S. Shen, Z.: 'Linearized Bregman iterations for frame-based image deblurring', SIAM J. Imag. Sci., 2009, 2, (1), p. 226-252
    • (2009) SIAM J. Imag. Sci. , vol.2 , Issue.1 , pp. 226-252
    • Cai, J.-F.1    Osher, S.2    Shen, Z.3
  • 18
    • 19844370110 scopus 로고    scopus 로고
    • An iterative regularization method for total variation-based image restoration
    • Osher, S. Burger, M. Goldfarb, D. Xu, J. Yin, W.: 'An iterative regularization method for total variation-based image restoration', SIAM Multiscale Model. Simul., 2005, 4, p. 460-489
    • (2005) SIAM Multiscale Model. Simul. , vol.4 , pp. 460-489
    • Osher, S.1    Burger, M.2    Goldfarb, D.3    Xu, J.4    Yin, W.5
  • 19
    • 84977895355 scopus 로고    scopus 로고
    • Bregman iterative algoruithms for , l1 minimization with applications to compressed sensing
    • Yin, W. Osher, S. Goldfarb, D. Darbon, J.: 'Bregman iterative algoruithms for , l1 minimization with applications to compressed sensing', SIAM J. Imaging Sci., 2008, 1, p. 143-168
    • (2008) SIAM J. Imaging Sci. , vol.1 , pp. 143-168
    • Yin, W.1    Osher, S.2    Goldfarb, D.3    Darbon, J.4
  • 20
    • 70349984018 scopus 로고    scopus 로고
    • Convergence of the linearized Bregman iteration for , l1-norm minimization
    • Cai, J.-F. Osher, S. Shen, Z.: 'Convergence of the linearized Bregman iteration for , l1-norm minimization', Math. Comp., 2009, 78, (268), p. 2127-2136
    • (2009) Math. Comp. , vol.78 , Issue.268 , pp. 2127-2136
    • Cai, J.-F.1    Osher, S.2    Shen, Z.3
  • 21
    • 77349126814 scopus 로고    scopus 로고
    • Fast linearized Bregman iteration for compressive sensing and sparse denoising
    • Osher, S. Mao, Y. Dong, B. Yin, W.: 'Fast linearized Bregman iteration for compressive sensing and sparse denoising', Commun. Math. Sci., 2010, 8, (1), p. 93-111
    • (2010) Commun. Math. Sci. , vol.8 , Issue.1 , pp. 93-111
    • Osher, S.1    Mao, Y.2    Dong, B.3    Yin, W.4
  • 22
    • 84969334819 scopus 로고    scopus 로고
    • The split bregman method for , l1 regularized problems
    • Goldstein, T. Osher, S.: 'The split bregman method for , l1 regularized problems', SIAM J. Imag. Sci., 2009, 2, (2), p. 323-343
    • (2009) SIAM J. Imag. Sci. , vol.2 , Issue.2 , pp. 323-343
    • Goldstein, T.1    Osher, S.2
  • 23
    • 77249161628 scopus 로고    scopus 로고
    • Bregmanized nonlocal regularization for deconvolution and sparse reconstruction
    • UCLA, cam09-03
    • Zhang, X. Burger, M. Bresson, X. Osher, S.: 'Bregmanized nonlocal regularization for deconvolution and sparse reconstruction', UCLA, cam09-03
    • Zhang, X.1    Burger, M.2    Bresson, X.3    Osher, S.4
  • 26
    • 85012251675 scopus 로고    scopus 로고
    • A new alternating minimization algorithm for total variation image reconstruction
    • Wang, Y. Yang, J. Yin, W. Zhang, Y.: 'A new alternating minimization algorithm for total variation image reconstruction', SIAM J. Imag. Sci., 2008, 1, (3), p. 248-272
    • (2008) SIAM J. Imag. Sci. , vol.1 , Issue.3 , pp. 248-272
    • Wang, Y.1    Yang, J.2    Yin, W.3    Zhang, Y.4
  • 27
    • 85024122496 scopus 로고    scopus 로고
    • A fast algorithm for edgepreserving variational multichannel image restoration
    • Yang, J. Yin, W. Zhang, Y. Wang, Y.: 'A fast algorithm for edgepreserving variational multichannel image restoration', SIAM J. Imag. Sci., 2008, 2, (2), p. 569-592
    • (2008) SIAM J. Imag. Sci. , vol.2 , Issue.2 , pp. 569-592
    • Yang, J.1    Yin, W.2    Zhang, Y.3    Wang, Y.4
  • 28
    • 76149100480 scopus 로고    scopus 로고
    • An efficient TVL1 algorithm for deblurring multichannel images corrupted by impulsive noise
    • Yang, J. Zhang, Y. Yin, W.: 'An efficient TVL1 algorithm for deblurring multichannel images corrupted by impulsive noise', SIAM J. Scientific Comput., 2009, 31, (4), p. 2842-2865
    • (2009) SIAM J. Scientific Comput. , vol.31 , Issue.4 , pp. 2842-2865
    • Yang, J.1    Zhang, Y.2    Yin, W.3
  • 29
    • 0003982971 scopus 로고    scopus 로고
    • Numerical optimization
    • Springer
    • Nocedal, J. Wright, S.J.: 'Numerical optimization', (Springer 2000)
    • (2000)
    • Nocedal, J.1    Wright, S.J.2
  • 30
    • 0002125350 scopus 로고    scopus 로고
    • Convex analysis and variational problems
    • Ekeland, I. Temam, R.: 'Convex analysis and variational problems', SIAM Classics Appl. Math., 1999, 28, p. 68-69
    • (1999) SIAM Classics Appl. Math. , vol.28 , pp. 68-69
    • Ekeland, I.1    Temam, R.2
  • 31
    • 69649095451 scopus 로고    scopus 로고
    • Fixed-point continuation for l1-minimization: methodology and convergence
    • 1052-6234
    • Hale, E.T. Yin, W. Zhang, Y.: 'Fixed-point continuation for l1-minimization: methodology and convergence', SIAM J. Optim., 2008, 19, (3), p. 1107-1130, 1052-6234
    • (2008) SIAM J. Optim. , vol.19 , Issue.3 , pp. 1107-1130
    • Hale, E.T.1    Yin, W.2    Zhang, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.