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Volumn 3, Issue 3, 2010, Pages 492-526

Total generalized variation

Author keywords

Bounded variation; Image denoising; Regularization; Tensor fields; Total generalized variation

Indexed keywords

BOUNDED VARIATIONS; GENERALIZED VARIATION; IMAGE DE-NOISING; REGULARIZATION; TENSOR FIELDS;

EID: 78651543709     PISSN: None     EISSN: 19364954     Source Type: Journal    
DOI: 10.1137/090769521     Document Type: Article
Times cited : (1454)

References (21)
  • 1
    • 67651033716 scopus 로고    scopus 로고
    • Some first-order algorithms for total variation based image restoration
    • [A]
    • [A] S.-F. Aujol, Some first-order algorithms for total variation based image restoration, J. Math.Imaging Vision, 34 (2009), pp. 307-327.
    • (2009) J. Math.Imaging Vision , vol.34 , pp. 307-327
    • Aujol, S.-F.1
  • 2
    • 85014561619 scopus 로고    scopus 로고
    • A fast iterative shrinkage-thresholding algorithm for linear inverseproblems
    • [BT]
    • [BT] A. Beck and M. Teboulle, A fast iterative shrinkage-thresholding algorithm for linear inverseproblems, SIAM J. Imaging Sci., 2 (2009), pp. 183-202.
    • (2009) SIAM J. Imaging Sci. , vol.2 , pp. 183-202
    • Beck, A.1    Teboulle, M.2
  • 5
    • 50949131499 scopus 로고    scopus 로고
    • The discontinuity set of solutions of the TVdenoising problem and some extensions
    • [CNN]
    • [CNN] V. Caselles, A. Chambolle, and M. Novaga, The discontinuity set of solutions of the TVdenoising problem and some extensions, Multiscale Model. Simul., 6 (2007), pp. 879-894.
    • (2007) Multiscale Model. Simul. , vol.6 , pp. 879-894
    • Caselles, V.1    Chambolle, A.2    Novaga, M.3
  • 6
    • 1242352408 scopus 로고    scopus 로고
    • An algorithm for total variation minimizations and applications
    • [Ch]
    • [Ch] A. Chambolle, An algorithm for total variation minimizations and applications, J. Math. ImagingVision, 20 (2004), pp. 89-97.
    • (2004) J. Math. ImagingVision , vol.20 , pp. 89-97
    • Chambolle, A.1
  • 7
    • 0031492191 scopus 로고    scopus 로고
    • Image recovery via total variation minimization and relatedproblems
    • [CL]
    • [CL] A. Chambolle and P.-L. Lions, Image recovery via total variation minimization and relatedproblems, Numer. Math., 76 (1997), pp. 167-188.
    • (1997) Numer. Math. , vol.76 , pp. 167-188
    • Chambolle, A.1    Lions, P.-L.2
  • 9
    • 0033295350 scopus 로고    scopus 로고
    • A nonlinear primal-dual method for total variationbasedimage restoration
    • [CGM]
    • [CGM] T. F. Chan, G. H. Golub, and P. Mulet, A nonlinear primal-dual method for total variationbasedimage restoration, SIAM J. Sci. Comput., 20 (1999), pp. 1964-1977.
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 1964-1977
    • Chan, T.F.1    Golub, G.H.2    Mulet, P.3
  • 10
    • 0035074671 scopus 로고    scopus 로고
    • Higher order total variation-based image restoration
    • [CMM]
    • [CMM] T. F. Chan, A. Marquina, and P. Mulet, Higher order total variation-based image restoration,SIAM J. Sci. Comput., 22 (2000), pp. 503-516.
    • (2000) SIAM J. Sci. Comput. , vol.22 , pp. 503-516
    • Chan, T.F.1    Marquina, A.2    Mulet, P.3
  • 11
    • 78651098798 scopus 로고    scopus 로고
    • A higher order model for image restoration:The one-dimensional case
    • [DFLM]
    • [DFLM] G. Dal Maso, I. Fonseca, G. Leoni, and M. Morini, A higher order model for image restoration:The one-dimensional case, SIAM J. Math. Anal., 40 (2009), pp. 2351-2391.
    • (2009) SIAM J. Math. Anal. , vol.40 , pp. 2351-2391
    • Dal Maso, G.1    Fonseca, I.2    Leoni, G.3    Morini, M.4
  • 12
    • 1642535406 scopus 로고    scopus 로고
    • Shapes and Geometries: Analysis, Differential Calculus, and Optimization
    • [DZ], SIAM, Philadelphia
    • [DZ] M. C. Delfour and J.-P. Zolésio, Shapes and Geometries: Analysis, Differential Calculus, and Optimization, Adv. Des. Control 4, SIAM, Philadelphia, 2001.
    • (2001) Adv. Des. Control , vol.4
    • Delfour, M.C.1    Zolésio, J.-P.2
  • 13
    • 4544249333 scopus 로고    scopus 로고
    • Total bounded variation regularization as a bilaterally constrainedoptimization problem
    • [HK]
    • [HK] M. Hintermüller and K. Kunisch, Total bounded variation regularization as a bilaterally constrainedoptimization problem, SIAM J. Appl. Math., 64 (2004), pp. 1311-1333.
    • (2004) SIAM J. Appl. Math. , vol.64 , pp. 1311-1333
    • Hintermüller, M.1    Kunisch, K.2
  • 14
    • 34548480020 scopus 로고
    • A method for solving a convex programming problem with convergence rateO(1/k2)
    • [Ne]
    • [Ne] Yu. Nesterov, A method for solving a convex programming problem with convergence rateO(1/k2), Soviet Math. Dokl., 27 (1983), pp. 372-376.
    • (1983) Soviet Math. Dokl. , vol.27 , pp. 372-376
    • Nesterov, Y.1
  • 15
    • 0142176890 scopus 로고    scopus 로고
    • Local strong homogeneity of a regularized estimator
    • [Ni]
    • [Ni] M. Nikolova, Local strong homogeneity of a regularized estimator, SIAM J. Appl. Math., 61(2000), pp. 633-658.
    • (2000) SIAM J. Appl. Math. , vol.61 , pp. 633-658
    • Nikolova, M.1
  • 16
    • 78651594347 scopus 로고    scopus 로고
    • Characterization of minimizers of convex regularization functionals
    • [PS], in, Contemp. Math., AMS,Providence, RI
    • [PS] C. P̈oschl and O. Scherzer, Characterization of minimizers of convex regularization functionals,in Frames and Operator Theory in Analysis and Signal Processing, Contemp. Math. 451, AMS,Providence, RI, 2008, pp. 219-248.
    • (2008) Frames and Operator Theory in Analysis and Signal Processing , vol.451 , pp. 219-248
    • P̈oschl, C.1    Scherzer, O.2
  • 17
    • 0034412757 scopus 로고    scopus 로고
    • Structural properties of solutions to total variation regularization problems
    • [R]
    • [R] W. Ring, Structural properties of solutions to total variation regularization problems, M2AN Math.Model. Numer. Anal., 34 (2000), pp. 799-810.
    • (2000) M2AN Math.Model. Numer. Anal. , vol.34 , pp. 799-810
    • Ring, W.1
  • 18
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • [ROF]
    • [ROF] L. I. Rudin, S. Osher, and E. Fatemi, Nonlinear total variation based noise removal algorithms,Phys. D, 60 (1992), pp. 259-268.
    • (1992) Phys. D , vol.60 , pp. 259-268
    • Rudin, L.I.1    Osher, S.2    Fatemi, E.3
  • 20
    • 73649084123 scopus 로고    scopus 로고
    • Variational methods with higher order derivatives in image processing
    • [SS], in, M. Neamtu and L. L. Schumaker, eds.,Nashboro Press, Brentwood, TN
    • [SS] S. Setzer and G. Steidl, Variational methods with higher order derivatives in image processing,in Approximation Theory XII: San Antonio 2007, M. Neamtu and L. L. Schumaker, eds.,Nashboro Press, Brentwood, TN, 2008, pp. 360-385.
    • (2008) Approximation Theory XII: San Antonio 2007 , pp. 360-385
    • Setzer, S.1    Steidl, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.