메뉴 건너뛰기




Volumn 19, Issue 7, 2010, Pages 1720-1730

Multiplicative noise removal using variable splitting and constrained optimization

Author keywords

Augmented Lagrangian; Douglasa; Multiplicative noise; Rachford splitting; Speckled images; Synthetic aperture radar; Total variation; Variable splitting

Indexed keywords

AUGMENTED LAGRANGIANS; MULTIPLICATIVE NOISE; SPECKLED IMAGES; TOTAL VARIATION; VARIABLE SPLITTING;

EID: 77953690109     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2010.2045029     Document Type: Article
Times cited : (322)

References (43)
  • 1
    • 49449100276 scopus 로고    scopus 로고
    • A variational approach to remove multiplicative noise
    • G. Aubert and J. Aujol, "A variational approach to remove multiplicative noise," SIAM J. Appl. Math., vol.68, no.4, pp. 925-946, 2008.
    • (2008) SIAM J. Appl. Math. , vol.68 , Issue.4 , pp. 925-946
    • Aubert, G.1    Aujol, J.2
  • 3
    • 85014561619 scopus 로고    scopus 로고
    • A fast iterative shrinkage-thresholding algorithm for linear inverse problems
    • A. Beck and M. Teboulle, "A fast iterative shrinkage-thresholding algorithm for linear inverse problems," SIAM J. Imag. Sci., vol.2, pp. 183-202, 2009.
    • (2009) SIAM J. Imag. Sci. , vol.2 , pp. 183-202
    • Beck, A.1    Teboulle, M.2
  • 4
    • 69949177588 scopus 로고    scopus 로고
    • An iterative algorithm for linear inverse problems with compound regularizers
    • San Diego, CA
    • J. Bioucas-Dias and M. Figueiredo, "An iterative algorithm for linear inverse problems with compound regularizers," in Proc. IEEE Int. Conf. Image Processing, San Diego, CA, 2008, pp. 685-688.
    • (2008) Proc. IEEE Int. Conf. Image Processing , pp. 685-688
    • Bioucas-Dias, J.1    Figueiredo, M.2
  • 5
    • 77951946534 scopus 로고    scopus 로고
    • Total variation restoration of speckled images using a split-Bregman algorithm
    • Cairo, Egypt
    • J. Bioucas-Dias and M. Figueiredo, "Total variation restoration of speckled images using a split-Bregman algorithm," in Proc. IEEE Int. Conf. Image Processing, Cairo, Egypt, 2009, pp. 3717-3720.
    • (2009) Proc. IEEE Int. Conf. Image Processing , pp. 3717-3720
    • Bioucas-Dias, J.1    Figueiredo, M.2
  • 6
    • 36749005582 scopus 로고    scopus 로고
    • A new TwIST: Two-step iterative shrinkage/thresholding algorithms for image restoration
    • Dec.
    • J. Bioucas-Dias and M. Figueiredo, "A new TwIST: Two-step iterative shrinkage/thresholding algorithms for image restoration," IEEE Trans. Image Process., vol.16, no.12, pp. 2980-2991, Dec. 2007.
    • (2007) IEEE Trans. Image Process. , vol.16 , Issue.12 , pp. 2980-2991
    • Bioucas-Dias, J.1    Figueiredo, M.2
  • 8
    • 1242352408 scopus 로고    scopus 로고
    • An algorithm for total variation minimization and applications
    • A. Chambolle, "An algorithm for total variation minimization and applications," J. Math. Imag. Vis., vol.20, pp. 89-97, 2004.
    • (2004) J. Math. Imag. Vis. , vol.20 , pp. 89-97
    • Chambolle, A.1
  • 9
    • 36749011564 scopus 로고    scopus 로고
    • Recent developments in total variation image restoration
    • Berlin, Germany: Springer-Verlag
    • T. Chan, S. Esedoglu, F. Park, and A. Yip, "Recent developments in total variation image restoration," in Mathematical Models of Computer Vision. Berlin, Germany: Springer-Verlag, 2005.
    • (2005) Mathematical Models of Computer Vision
    • Chan, T.1    Esedoglu, S.2    Park, F.3    Yip, A.4
  • 10
    • 0033295350 scopus 로고    scopus 로고
    • A nonlinear primal-dual method for total variation-based image restoration
    • T. Chan, G. Golub, and P. Mulet, "A nonlinear primal-dual method for total variation-based image restoration," SIAM J. Sci. Comput., vol.20, pp. 1964-1977, 1999.
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 1964-1977
    • Chan, T.1    Golub, G.2    Mulet, P.3
  • 12
    • 39449085530 scopus 로고    scopus 로고
    • A Douglas-Rachford splitting approach to nonsmooth convex variational signal recovery
    • Dec.
    • P. L. Combettes and J.-C. Pesquet, "A Douglas-Rachford splitting approach to nonsmooth convex variational signal recovery," IEEE J. Sel. Topics Signal Process., vol.1, no.4, pp. 564-574, Dec. 2007.
    • (2007) IEEE J. Sel. Topics Signal Process. , vol.1 , Issue.4 , pp. 564-574
    • Combettes, P.L.1    Pesquet, J.-C.2
  • 13
    • 30844438177 scopus 로고    scopus 로고
    • Signal recovery by proximal forward-backward splitting
    • P. L. Combettes and V. Wajs, "Signal recovery by proximal forward-backward splitting," SIAM J. Multi. Modeling Sim., vol.4, pp. 1168-1200, 2005.
    • (2005) SIAM J. Multi. Modeling Sim. , vol.4 , pp. 1168-1200
    • Combettes, P.L.1    Wajs, V.2
  • 15
    • 77949273852 scopus 로고    scopus 로고
    • Multiplicative noise removal using L1 fidelity on frame coefficients
    • S. Durand, J. Fadili, and M. Nikolova, "Multiplicative noise removal using L1 fidelity on frame coefficients," J. Math. Imag. Vis., vol.36, no.10, pp. 201-226, 2010.
    • (2010) J. Math. Imag. Vis. , vol.36 , Issue.10 , pp. 201-226
    • Durand, S.1    Fadili, J.2    Nikolova, M.3
  • 16
    • 34249837486 scopus 로고
    • On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
    • J. Eckstein and D. Bertsekas, "On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators," Math. Program., vol.5, pp. 293-318, 1992.
    • (1992) Math. Program. , vol.5 , pp. 293-318
    • Eckstein, J.1    Bertsekas, D.2
  • 18
    • 78649843367 scopus 로고    scopus 로고
    • On totalvariation denoising: A new majorization-minimization algorithm and an experimental comparison with wavalet denoising
    • Atlanta, GA
    • M. Figueiredo, J. Bioucas-Dias, J. Oliveira, and R. Nowak, "On totalvariation denoising: A new majorization-minimization algorithm and an experimental comparison with wavalet denoising," in Proc. IEEE Int. Conf. Image Processing, Atlanta, GA, 2006, pp. 2633-2636.
    • (2006) Proc. IEEE Int. Conf. Image Processing , pp. 2633-2636
    • Figueiredo, M.1    Bioucas-Dias, J.2    Oliveira, J.3    Nowak, R.4
  • 19
    • 72349092271 scopus 로고    scopus 로고
    • Deconvolution of Poissonian images using variable splitting and augmented Lagrangian optimization
    • Cardiff, U.K.
    • M. Figueiredo and J. Bioucas-Dias, "Deconvolution of Poissonian images using variable splitting and augmented Lagrangian optimization," in Proc. IEEEWork. Statistical Signal Processing, Cardiff, U.K., 2009, pp. 733-736.
    • (2009) Proc. IEEEWork. Statistical Signal Processing , pp. 733-736
    • Figueiredo, M.1    Bioucas-Dias, J.2
  • 20
    • 0019925686 scopus 로고
    • A model for radar images and its applications to adaptive digital filtering of multiplicative noise
    • Mar.
    • V. Frost, K. Shanmugan, and J. Holtzman, "A model for radar images and its applications to adaptive digital filtering of multiplicative noise," IEEE Trans. Pattern Anal. Mach. Intell., vol.PAMI-4, no.2, pp. 157-166, Mar. 1982.
    • (1982) IEEE Trans. Pattern Anal. Mach. Intell. , vol.PAMI-4 , Issue.2 , pp. 157-166
    • Frost, V.1    Shanmugan, K.2    Holtzman, J.3
  • 21
    • 0002211517 scopus 로고
    • A dual algorithm for the solution of nonlinear variational problems via finite-element approximations
    • D. Gabay and B. Mercier, "A dual algorithm for the solution of nonlinear variational problems via finite-element approximations," Comput. Math. Appl., vol.2, pp. 17-40, 1976.
    • (1976) Comput. Math. Appl. , vol.2 , pp. 17-40
    • Gabay, D.1    Mercier, B.2
  • 22
    • 0016536442 scopus 로고
    • Sur l'approximation, par elements finis d'ordre un, et la resolution, par penalisation-dualité d'une classe de problemes de dirichlet non lineares, revue française d'Automatique
    • R. Glowinski and A. Marroco, "Sur l'approximation, par elements finis d'ordre un, et la resolution, par penalisation-dualité d'une classe de problemes de dirichlet non lineares, revue française d'Automatique," Informatique et Recherche Opérationelle, vol.9, pp. 41-76, 1975.
    • (1975) Informatique et Recherche Opérationelle , vol.9 , pp. 41-76
    • Glowinski, R.1    Marroco, A.2
  • 23
    • 84969334819 scopus 로고    scopus 로고
    • The split Bregman method for L1 regularized problems
    • T. Goldstein and S. Osher, "The split Bregman method for L1 regularized problems," SIAM J. Imag. Sci., vol.2, pp. 323-343, 2009.
    • (2009) SIAM J. Imag. Sci. , vol.2 , pp. 323-343
    • Goldstein, T.1    Osher, S.2
  • 24
    • 0001539879 scopus 로고
    • Some fundamental properties of speckle
    • J. Goodman, "Some fundamental properties of speckle," J. Opt. Soc. Amer., vol.66, pp. 1145-1150, 1976.
    • (1976) J. Opt. Soc. Amer. , vol.66 , pp. 1145-1150
    • Goodman, J.1
  • 26
    • 0014604308 scopus 로고
    • Multiplier and gradient methods
    • M. Hestenes, "Multiplier and gradient methods," J. Optim. Theory Appl., vol.4, pp. 303-320, 1969.
    • (1969) J. Optim. Theory Appl. , vol.4 , pp. 303-320
    • Hestenes, M.1
  • 27
    • 84907779428 scopus 로고    scopus 로고
    • A new total variation method for multiplicative noise removal
    • Y. Huang, M. Ng, and Y.Wen, "A new total variation method for multiplicative noise removal," SIAM J. Imag. Sci., vol.2, no.1, pp. 20-40, 2009.
    • (2009) SIAM J. Imag. Sci. , vol.2 , Issue.1 , pp. 20-40
    • Huang, Y.1    Ng, M.2    Wen, Y.3
  • 28
    • 0009970854 scopus 로고    scopus 로고
    • Augmented Lagrangian methods and proximal point methods for convex optimization
    • A. Iusem, "Augmented Lagrangian methods and proximal point methods for convex optimization," Investigación Operativa, vol.8, pp. 11-49, 1999.
    • (1999) Investigación Operativa , vol.8 , pp. 11-49
    • Iusem, A.1
  • 32
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • S. Osher, L. Rudin, and E. Fatemi, "Nonlinear total variation based noise removal algorithms," Phys. Rev. D, Part. Fields, vol.60, pp. 259-268, 1992.
    • (1992) Phys. Rev. D, Part. Fields , vol.60 , pp. 259-268
    • Osher, S.1    Rudin, L.2    Fatemi, E.3
  • 33
    • 0002380692 scopus 로고
    • A method for nonlinear constraints in minimization problems
    • R. Fletcher Ed. New York: Academic
    • M. Powell, "A method for nonlinear constraints in minimization problems," in Optimization, R. Fletcher, Ed. New York: Academic, 1969, pp. 283-298.
    • (1969) Optimization , pp. 283-298
    • Powell, M.1
  • 34
    • 4344584160 scopus 로고    scopus 로고
    • Multiplicative denoising and deblurring: Theory and algorithms
    • S. Osher and N. Paragios, Eds. New York: Springer
    • L. Rudin, P. Lions, and S. Osher, "Multiplicative denoising and deblurring: Theory and algorithms," in Geometric Level Set Methods in Imaging, Vision, and Graphics, S. Osher and N. Paragios, Eds. New York: Springer, 2003, pp. 103-120.
    • (2003) Geometric Level Set Methods in Imaging, Vision, and Graphics , pp. 103-120
    • Rudin, L.1    Lions, P.2    Osher, S.3
  • 37
    • 65649145399 scopus 로고    scopus 로고
    • A Nonlinear inverse scale space method for a convex multiplicative noise model
    • Univ. California, Los Angeles Tech. Rep. 07-10
    • J. Shi and S. Osher, A Nonlinear Inverse Scale Space Method for a Convex Multiplicative Noise Model, Comput. Appl. Math., Univ. California, Los Angeles, 2007, Tech. Rep. 07-10.
    • (2007) Comput. Appl. Math.
    • Shi, J.1    Osher, S.2
  • 38
    • 77953714215 scopus 로고    scopus 로고
    • Removing multiplicative noise by Douglas-Rachford splitting methods
    • G. Steidl and T. Teuber, "Removing multiplicative noise by Douglas-Rachford splitting methods," J. Math. Imag. Vis., 2009.
    • (2009) J. Math. Imag. Vis.
    • Steidl, G.1    Teuber, T.2
  • 39
    • 69049111989 scopus 로고    scopus 로고
    • Augmented lagrangian method dual methods and split bregman iteration for rof model
    • Univ. California, Los Angeles Tech. Rep. 09-105
    • X. Tai and C.Wu, Augmented Lagrangian Method, Dual Methods and Split Bregman Iteration for ROF Model, Comput. Appl. Math., Univ. California, Los Angeles, 2009, Tech. Rep. 09-105
    • (2009) Comput. Appl. Math.
    • Tai, X.1    Wu, C.2
  • 40
    • 85012251675 scopus 로고    scopus 로고
    • A new alternating minimization algorithm for total variation image reconstruction
    • Y. Wang, J. Yang, W. Yin, and Y. Zhang, "A new alternating minimization algorithm for total variation image reconstruction," SIAM J. Imag. Sci., vol.1, no.3, pp. 248-272, 2008.
    • (2008) SIAM J. Imag. Sci. , vol.1 , Issue.3 , pp. 248-272
    • Wang, Y.1    Yang, J.2    Yin, W.3    Zhang, Y.4
  • 41
    • 67650178787 scopus 로고    scopus 로고
    • Sparse reconstruction by separable approximation
    • Jul.
    • S. Wright, R. Nowak, and M. Figueiredo, "Sparse reconstruction by separable approximation," IEEE Trans. Signal Process., vol.57, no.7, pp. 2479-2493, Jul. 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.7 , pp. 2479-2493
    • Wright, S.1    Nowak, R.2    Figueiredo, M.3
  • 42
    • 84977895355 scopus 로고    scopus 로고
    • Bregman iterative algorithms for minimization with applications to compressed sensing
    • W. Yin, S. Osher, D. Goldfarb, and J. Darbon, "Bregman iterative algorithms for minimization with applications to compressed sensing," SIAM J. Imag. Sci., vol.1, no.1, pp. 143-168, 2008.
    • (2008) SIAM J. Imag. Sci. , vol.1 , Issue.1 , pp. 143-168
    • Yin, W.1    Osher, S.2    Goldfarb, D.3    Darbon, J.4
  • 43
    • 67651019362 scopus 로고    scopus 로고
    • Duality-Based Algorithms for Total Variation Image Restoration
    • Univ. California, Los Angeles Tech. Rep. 08-33
    • M. Zhu, S. Wright, and T. Chan, Duality-Based Algorithms for Total Variation Image Restoration, Computational and Applied Mathematics, Univ. California, Los Angeles, 2008, Tech. Rep. 08-33.
    • (2008) Computational and Applied Mathematics
    • Zhu, M.1    Wright, S.2    Chan, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.