메뉴 건너뛰기




Volumn 26, Issue 3, 2015, Pages 739-751

Image decomposition combining a total variational filter and a Tikhonov quadratic filter

Author keywords

Image decomposition; Image denoising; Split Bregman; Total variation

Indexed keywords


EID: 84934443589     PISSN: 09236082     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11045-013-0260-5     Document Type: Article
Times cited : (12)

References (25)
  • 1
    • 79951838072 scopus 로고    scopus 로고
    • An augmented lagrangian approach to the constrained optimization formulation of imaging inverse problems
    • Afonso, M., Bioucas-Dias, J., & Figueiredo, M. (2011). An augmented lagrangian approach to the constrained optimization formulation of imaging inverse problems. IEEE Transactions on Image Processing, 20(3), 681–695.
    • (2011) IEEE Transactions on Image Processing , vol.20 , Issue.3 , pp. 681-695
    • Afonso, M.1    Bioucas-Dias, J.2    Figueiredo, M.3
  • 7
    • 75449083431 scopus 로고    scopus 로고
    • MCALab: Reproducible research in signal and image decomposition and inpainting
    • Fadili, M. J., & Starck, J.-L. (2010). MCALab: Reproducible research in signal and image decomposition and inpainting. IEEE Computing in Science and Engineering, 12(1), 44–62.
    • (2010) IEEE Computing in Science and Engineering , vol.12 , Issue.1 , pp. 44-62
    • Fadili, M.J.1    Starck, J.-L.2
  • 8
    • 34249800358 scopus 로고    scopus 로고
    • Image decompositions using bounded variation and generalized homogeneous Besov space
    • Garnett, J. B., & Le, T. M. (2007). Image decompositions using bounded variation and generalized homogeneous Besov space. Applied and Computational Harmonic Analysis, 23, 25–56.
    • (2007) Applied and Computational Harmonic Analysis , vol.23 , pp. 25-56
    • Garnett, J.B.1    Le, T.M.2
  • 9
    • 84969334819 scopus 로고    scopus 로고
    • The split Bregman method for (Formula presented.)-regularized problems
    • Goldstein, T., & Osher, S. (2009). The split Bregman method for $$L_1$$L1-regularized problems. SIAM Journal on Imaging Sciences, 2(2), 323–343.
    • (2009) SIAM Journal on Imaging Sciences , vol.2 , Issue.2 , pp. 323-343
    • Goldstein, T.1    Osher, S.2
  • 10
    • 80052720757 scopus 로고    scopus 로고
    • A new fast multiphase image segmentation algorithm based on nonconvex regularizer
    • Han, Y., Wang, W. W., & Feng, X. C. (2012). A new fast multiphase image segmentation algorithm based on nonconvex regularizer. Pattern Recognition, 45(1), 363–372.
    • (2012) Pattern Recognition , vol.45 , Issue.1 , pp. 363-372
    • Han, Y.1    Wang, W.W.2    Feng, X.C.3
  • 11
    • 84870255946 scopus 로고    scopus 로고
    • Nonconvex sparse regularizer based speckle noise removal
    • Han, Y., Feng, X. C., Baciu, G., & Wang, W. W. (2013). Nonconvex sparse regularizer based speckle noise removal. Pattern Recognition, 46(3), 989–1001.
    • (2013) Pattern Recognition , vol.46 , Issue.3 , pp. 989-1001
    • Han, Y.1    Feng, X.C.2    Baciu, G.3    Wang, W.W.4
  • 12
    • 84861880130 scopus 로고    scopus 로고
    • Bregman iteration algorithm for sparse nonnegative matrix factorizations via alternating (Formula presented.)-norm minimization
    • Jiang, L. L., & Yin, H. Q. (2012). Bregman iteration algorithm for sparse nonnegative matrix factorizations via alternating $$l_1 $$l1-norm minimization. Multidimensional Systems and Signal Processing, 23(3), 315–328.
    • (2012) Multidimensional Systems and Signal Processing , vol.23 , Issue.3 , pp. 315-328
    • Jiang, L.L.1    Yin, H.Q.2
  • 13
    • 80855130391 scopus 로고    scopus 로고
    • Image decomposition via learning the morphological diversity
    • Li, Y. F., & Feng, X. C. (2012). Image decomposition via learning the morphological diversity. Pattern Recognition Letter, 33(2), 111–120.
    • (2012) Pattern Recognition Letter , vol.33 , Issue.2 , pp. 111-120
    • Li, Y.F.1    Feng, X.C.2
  • 14
    • 0038542695 scopus 로고    scopus 로고
    • Oscillating patterns in image processing and nonlinear evolution equations. Vol
    • Providence, RI: American Mathematical Society
    • Meyer, Y. (2001). Oscillating patterns in image processing and nonlinear evolution equations. Vol. 22 of University Lecture Series. Providence, RI: American Mathematical Society
    • (2001) 22 of University Lecture Series
    • Meyer, Y.1
  • 15
    • 78649252763 scopus 로고    scopus 로고
    • Fast nonconvex nonsmooth minimization methods for image restoration and reconstruction
    • Nikolova, M., Ng, M., & Tam, C.-P. (2010). Fast nonconvex nonsmooth minimization methods for image restoration and reconstruction. IEEE Transactions on Image Processing, 19(12), 3073–3088.
    • (2010) IEEE Transactions on Image Processing , vol.19 , Issue.12 , pp. 3073-3088
    • Nikolova, M.1    Ng, M.2    Tam, C.-P.3
  • 16
    • 33749252638 scopus 로고    scopus 로고
    • Image decomposition and restoration using total variation minimization and the (Formula presented.) Norm
    • Osher, S., Sole, A., & Vese, L. (2003). Image decomposition and restoration using total variation minimization and the $$\text{ H }^{-1}$$H-1 Norm. Multiscale Modeling and Simulation, 1(3), 349–370.
    • (2003) Multiscale Modeling and Simulation , vol.1 , Issue.3 , pp. 349-370
    • Osher, S.1    Sole, A.2    Vese, L.3
  • 17
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • Rudin, L., Osher, S., & Fatemi, E. (1992). Nonlinear total variation based noise removal algorithms. Physica D, 60, 259–268.
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.1    Osher, S.2    Fatemi, E.3
  • 18
    • 80052211668 scopus 로고    scopus 로고
    • Operator splittings. Bregman methods and frame shrinkage in image processing
    • Setzer, S. (2011). Operator splittings. Bregman methods and frame shrinkage in image processing. International Journal of Computer Vision, 92(3), 265–280.
    • (2011) International Journal of Computer Vision , vol.92 , Issue.3 , pp. 265-280
    • Setzer, S.1
  • 19
    • 33748627218 scopus 로고    scopus 로고
    • Piecewise H$$^{-1}$$-1 + H$$^{0}$$0 + H$$^{1 }$$1 images and the Mumford–Shah–Sobolev model for segmented image decomposition
    • Shen, J. (2005). Piecewise H$$^{-1}$$-1 + H$$^{0}$$0 + H$$^{1 }$$1 images and the Mumford–Shah–Sobolev model for segmented image decomposition. Applied Mathematics Research Express, 4, 143–167.
    • (2005) Applied Mathematics Research Express , vol.4 , pp. 143-167
    • Shen, J.1
  • 20
    • 27744574209 scopus 로고    scopus 로고
    • Image decomposition via the combination of sparse representations and a variational approach
    • Starck, J.-L., Elad, M., & Donoho, D. L. (2005). Image decomposition via the combination of sparse representations and a variational approach. IEEE Transactions on Image Processing, 14(10), 1570–1582.
    • (2005) IEEE Transactions on Image Processing , vol.14 , Issue.10 , pp. 1570-1582
    • Starck, J.-L.1    Elad, M.2    Donoho, D.L.3
  • 21
    • 0347900511 scopus 로고    scopus 로고
    • Modeling textures with total variation minimization and oscillating patterns in image processing
    • Vese, L., & Osher, S. (2003). Modeling textures with total variation minimization and oscillating patterns in image processing. Journal of Scientific Computing, 19(1–3), 553–572.
    • (2003) Journal of Scientific Computing , vol.19 , Issue.1-3 , pp. 553-572
    • Vese, L.1    Osher, S.2
  • 22
    • 0032026465 scopus 로고    scopus 로고
    • Efficient and reliable schemes for nonlinear diffusion filtering
    • Weickert, J., & ter Haar Romeny, B. M. (1998). Efficient and reliable schemes for nonlinear diffusion filtering. IEEE Transactions on Image Processing, 7(3), 398–410.
    • (1998) IEEE Transactions on Image Processing , vol.7 , Issue.3 , pp. 398-410
    • Weickert, J.1    ter Haar Romeny, B.M.2
  • 23
    • 78650834156 scopus 로고    scopus 로고
    • Augmented Lagrangian method, dual methods and split Bregman iterations for ROF, vectorial TV and higher order models
    • Wu, C., & Tai, X. C. (2010). Augmented Lagrangian method, dual methods and split Bregman iterations for ROF, vectorial TV and higher order models. SIAM Journal on Imaging Science, 3(3), 300–339.
    • (2010) SIAM Journal on Imaging Science , vol.3 , Issue.3 , pp. 300-339
    • Wu, C.1    Tai, X.C.2
  • 24
    • 84891889809 scopus 로고    scopus 로고
    • A coupled variational model for image denoising using a duality strategy and split Bregman
    • Xu, J. L., Feng, X. C., & Hao, Y. (2012). A coupled variational model for image denoising using a duality strategy and split Bregman. Multidimensional Systems and Signal Processing, doi:10.1007/s11045-012-0190-7.
    • (2012) Multidimensional Systems and Signal Processing
    • Xu, J.L.1    Feng, X.C.2    Hao, Y.3
  • 25
    • 80053592953 scopus 로고    scopus 로고
    • A primal-dual gradient method for image decomposition based on (BV, H(Formula presented.)
    • Yin, H. Q., & Liu, H. W. (2011). A primal-dual gradient method for image decomposition based on (BV, H$$^{-1}$$-1). Multidimensional Systems and Signal Processing, 22(4), 335–348.
    • (2011) Multidimensional Systems and Signal Processing , vol.22 , Issue.4 , pp. 335-348
    • Yin, H.Q.1    Liu, H.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.