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Volumn 32, Issue 3, 2010, Pages 1484-1505

A duality-based splitting method for ℓ1-tv image restoration with automatic regularization parameter choice

Author keywords

Balancing principle; Convex duality; Image restoration; Impulse noise; Splitting; 1 TV

Indexed keywords

CONSTRAINED OPTIMIZATION; IMPULSE NOISE; PARAMETERIZATION; RESTORATION;

EID: 77953827486     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/090768217     Document Type: Article
Times cited : (63)

References (29)
  • 1
    • 48249125815 scopus 로고    scopus 로고
    • Total variation regularization for image denoising, I. Geometric theory
    • W. K. Allard, Total variation regularization for image denoising, I. Geometric theory, SIAM J. Math. Anal., 39 (2007), pp. 1150-1190.
    • (2007) SIAM J. Math. Anal. , vol.39 , pp. 1150-1190
    • Allard, W.K.1
  • 2
    • 0031124308 scopus 로고    scopus 로고
    • A property of the minimum vectors of a regularizing functional defined by means of the absolute norm
    • S. Alliney, A property of the minimum vectors of a regularizing functional defined by means of the absolute norm, IEEE Trans. Signal Process., 45 (1997), pp. 913-917.
    • (1997) IEEE Trans. Signal Process. , vol.45 , pp. 913-917
    • Alliney, S.1
  • 8
    • 42649129178 scopus 로고    scopus 로고
    • Image processing and analysis: Variational, PDE, wavelet, and stochastic methods
    • Philadelphia
    • T. F. Chan and J. Shen, Image Processing and Analysis: Variational, PDE, Wavelet, and Stochastic Methods, SIAM, Philadelphia, 2005.
    • (2005) SIAM
    • Chan, T.F.1    Shen, J.2
  • 9
    • 77953861275 scopus 로고    scopus 로고
    • 1 data fitting with automatic choice of regularization parameters and noise calibration
    • 1 data fitting with automatic choice of regularization parameters and noise calibration, SIAM J. Imaging Sci., 3 (2010), pp. 199-231.
    • (2010) SIAM J. Imaging Sci. , vol.3 , pp. 199-231
    • Clason, C.1    Jin, B.2    Kunisch, K.3
  • 12
    • 0002125350 scopus 로고    scopus 로고
    • Convex analysis and variational problems
    • SIAM, Philadelphia
    • I. Ekeland and R. Témam, Convex Analysis and Variational Problems, Classics Appl. Math. 28, SIAM, Philadelphia, 1999.
    • (1999) Classics Appl. Math. , vol.28
    • Ekeland, I.1    Témam, R.2
  • 14
    • 33751208047 scopus 로고    scopus 로고
    • Efficient minimization methods of mixed l2-l1 and l1-l1 norms for image restoration
    • H. Fu, M. K. Ng,M. Nikolova, and J. L. Barlow, Efficient minimization methods of mixed l2-l1 and l1-l1 norms for image restoration, SIAM J. Sci. Comput., 27 (2006), pp. 1881-1902.
    • (2006) SIAM J. Sci. Comput. , vol.27 , pp. 1881-1902
    • Fu, H.1    Ng, M.K.2    Nikolova, M.3    Barlow, J.L.4
  • 16
    • 77953837920 scopus 로고    scopus 로고
    • A fast ℓ1-TV algorithm for image restoration
    • X. Guo, F. Li, and M. Ng, A fast ℓ1-TV algorithm for image restoration, SIAM J. Sci. Comput., 31 (2009), pp. 2322-2341.
    • (2009) SIAM J. Sci. Comput. , vol.31 , pp. 2322-2341
    • Guo, X.1    Li, F.2    Ng, M.3
  • 17
    • 0036058309 scopus 로고    scopus 로고
    • An iterative method with variable relaxation parameters for saddle-point problems
    • Q. Hu and J. Zou, An iterative method with variable relaxation parameters for saddle-point problems, SIAM J. Matrix Anal. Appl., 23 (2001), pp. 317-338.
    • (2001) SIAM J. Matrix Anal. Appl. , vol.23 , pp. 317-338
    • Hu, Q.1    Zou, J.2
  • 18
    • 77953863734 scopus 로고    scopus 로고
    • Lagrange multiplier approach to variational problems and applications
    • SIAM, Philadelphia
    • K. Ito and K. Kunisch, Lagrange Multiplier Approach to Variational Problems and Applications, Adv. Des. Control 15, SIAM, Philadelphia, 2008.
    • (2008) Adv. Des. Control , vol.15
    • Ito, K.1    Kunisch, K.2
  • 20
    • 17444406259 scopus 로고    scopus 로고
    • Smooth minimization of nonsmooth functions
    • Y. Nesterov, Smooth minimization of nonsmooth functions, Math. Program., 103 (2005), pp. 127-152.
    • (2005) Math. Program. , vol.103 , pp. 127-152
    • Nesterov, Y.1
  • 21
    • 1242284980 scopus 로고    scopus 로고
    • A variational approach to remove outliers and impulse noise
    • M. Nikolova, A variational approach to remove outliers and impulse noise, J. Math. Imaging Vision, 20 (2004), pp. 99-120.
    • (2004) J. Math. Imaging Vision , vol.20 , pp. 99-120
    • Nikolova, M.1
  • 22
    • 34250242132 scopus 로고
    • A modification of the Arrow-Hurwicz method for search of saddle points
    • L. D. Popov, A modification of the Arrow-Hurwicz method for search of saddle points, Math. Notes, 28 (1980), pp. 845-848.
    • (1980) Math. Notes , vol.28 , pp. 845-848
    • Popov, L.D.1
  • 23
    • 59649097565 scopus 로고    scopus 로고
    • Efficient minimization method for a generalized total variation functional
    • P. Rodríguez and B. Wohlberg, Efficient minimization method for a generalized total variation functional, IEEE Trans. Image Process., 18 (2009), pp. 322-332.
    • (2009) IEEE Trans. Image Process. , vol.18 , pp. 322-332
    • Rodríguez, P.1    Wohlberg, B.2
  • 24
    • 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, 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
  • 27
    • 0003664883 scopus 로고
    • V. H. Winston & Sons, Washington, D.C., and John Wiley & Sons, New York
    • A. N. Tikhonov and V. Y. Arsenin, Solutions of Ill-Posed Problems, V. H. Winston & Sons, Washington, D.C., and John Wiley & Sons, New York, 1977.
    • (1977) Solutions of Ill-Posed Problems
    • Tikhonov, A.N.1    Arsenin, V.Y.2
  • 28
    • 76149100480 scopus 로고    scopus 로고
    • An efficient TV L1 algorithm for deblurring multichannel images corrupted by impulsive noise
    • J. Yang, Y. Zhang, and W. Yin, An efficient TV L1 algorithm for deblurring multichannel images corrupted by impulsive noise, SIAM J. Sci. Comput., 31 (2009), pp. 2842-2865.
    • (2009) SIAM J. Sci. Comput. , vol.31 , pp. 2842-2865
    • Yang, J.1    Zhang, Y.2    Yin, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.