메뉴 건너뛰기




Volumn 44, Issue 12, 2014, Pages 2418-2430

Reweighted low-rank matrix recovery and its application in image restoration

Author keywords

Image restoration; Iterative reweighting; Low rank matrix recovery; Nonuniform singular value thresholding

Indexed keywords

CONVEX PROGRAMMING; IMAGE RECONSTRUCTION; ITERATIVE METHODS; NUMERICAL METHODS; PRINCIPAL COMPONENT ANALYSIS; RECOVERY; SPECTROSCOPY;

EID: 84911919422     PISSN: 21682267     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCYB.2014.2307854     Document Type: Article
Times cited : (123)

References (38)
  • 1
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • Feb.
    • E. Candès, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Inf. Theory, vol. 52, no. 2, pp. 489-509, Feb. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.2 , pp. 489-509
    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 2
    • 71049116435 scopus 로고    scopus 로고
    • Exact matrix completion via convex optimization
    • E. Candès and B. Recht, "Exact matrix completion via convex optimization," Found. Comput. Math., vol. 9, no. 6, pp. 717-772, 2009.
    • (2009) Found. Comput. Math. , vol.9 , Issue.6 , pp. 717-772
    • Candès, E.1    Recht, B.2
  • 3
    • 78549288866 scopus 로고    scopus 로고
    • Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization
    • B. Recht, M. Fazel, and P. Parrilo, "Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization," SIAM Rev., vol. 52, no. 3, pp. 471-501, 2010.
    • (2010) SIAM Rev. , vol.52 , Issue.3 , pp. 471-501
    • Recht, B.1    Fazel, M.2    Parrilo, P.3
  • 4
    • 79960675858 scopus 로고    scopus 로고
    • Robust principal component analysis?
    • E. Candès, X. Li, Y. Ma, and J. Wright, "Robust principal component analysis?" J. ACM, vol. 58, no. 3, pp. 1-37, 2011.
    • (2011) J. ACM , vol.58 , Issue.3 , pp. 1-37
    • Candès, E.1    Li, X.2    Ma, Y.3    Wright, J.4
  • 5
    • 77956175497 scopus 로고    scopus 로고
    • Successively alternate least square for low-rank matrix factorization with bounded missing data
    • Oct.
    • K. Zhao and Z. Zhang, "Successively alternate least square for low-rank matrix factorization with bounded missing data," Comput. Vision Image Understand., vol. 114, no. 10, pp. 1084-1096, Oct. 2010.
    • (2010) Comput. Vision Image Understand. , vol.114 , Issue.10 , pp. 1084-1096
    • Zhao, K.1    Zhang, Z.2
  • 8
    • 78650131071 scopus 로고    scopus 로고
    • A nuclear norm heuristic approach to fractionally spaced blind channel equalization
    • Jan.
    • K. Konishi and T. Furukawa, "A nuclear norm heuristic approach to fractionally spaced blind channel equalization," IEEE Signal Process. Lett., vol. 18, no. 1, pp. 59-63, Jan. 2011.
    • (2011) IEEE Signal Process. Lett. , vol.18 , Issue.1 , pp. 59-63
    • Konishi, K.1    Furukawa, T.2
  • 9
    • 84862748797 scopus 로고    scopus 로고
    • Robust video restoration by joint sparse and low rank matrix approximation
    • H. Ji, S. Huang, Z. Shen, and Y. Xu, "Robust video restoration by joint sparse and low rank matrix approximation," SIAM J. Imag. Sci., vol. 4, no. 4, pp. 1122-1142, 2011.
    • (2011) SIAM J. Imag. Sci. , vol.4 , Issue.4 , pp. 1122-1142
    • Ji, H.1    Huang, S.2    Shen, Z.3    Xu, Y.4
  • 10
    • 84866665730 scopus 로고    scopus 로고
    • RASL: Robust alignment by sparse and low-rank decomposition for linearly correlated images
    • Nov.
    • Y. Peng, A. Ganesh, J. Wright, W. Xu, and Y. Ma., "RASL: Robust alignment by sparse and low-rank decomposition for linearly correlated images," IEEE Trans. Pattern Anal. Mach. Intell., vol. 34, no. 11, pp. 2233-2246, Nov. 2012.
    • (2012) IEEE Trans. Pattern Anal. Mach. Intell. , vol.34 , Issue.11 , pp. 2233-2246
    • Peng, Y.1    Ganesh, A.2    Wright, J.3    Xu, W.4    Ma, Y.5
  • 11
    • 84862826891 scopus 로고    scopus 로고
    • TILT: Transform-invariant low-rank textures
    • Aug.
    • Z. Zhang, A. Ganesh, X. Liang, and Y. Ma, "TILT: Transform-invariant low-rank textures," Int. J. Comput. Vision, vol. 99, no. 1, pp. 1-24, Aug. 2012.
    • (2012) Int. J. Comput. Vision , vol.99 , Issue.1 , pp. 1-24
    • Zhang, Z.1    Ganesh, A.2    Liang, X.3    Ma, Y.4
  • 13
    • 84863059517 scopus 로고    scopus 로고
    • Unwrapping low-rank textures on generalized cylindrical surfaces
    • Z. Zhang, X. Liang, and Y. Ma, "Unwrapping low-rank textures on generalized cylindrical surfaces," in Proc. Int. Conf. Comput. Vision, 2011, pp. 1347-1354.
    • Proc. Int. Conf. Comput. Vision, 2011 , pp. 1347-1354
    • Zhang, Z.1    Liang, X.2    Ma, Y.3
  • 14
    • 84863082585 scopus 로고    scopus 로고
    • Holistic reconstruction of urban structures from low-rank textures
    • H. Mobahi, Z. Zhou, A. Y. Yang, and Y. Ma, "Holistic reconstruction of urban structures from low-rank textures," in Proc. ICCV workshop, 2011, pp. 593-600.
    • Proc. ICCV Workshop, 2011 , pp. 593-600
    • Mobahi, H.1    Zhou, Z.2    Yang, A.Y.3    Ma, Y.4
  • 17
    • 79955624809 scopus 로고    scopus 로고
    • Accelerated dynamic MRI exploiting sparsity and low rank structure: K-t SLR
    • May
    • S. G. Lingala, Y. Hu, E. DiBella, and M. Jacob, "Accelerated dynamic MRI exploiting sparsity and low rank structure: k-t SLR," IEEE Trans. Med. Imag., vol. 30, no. 5, pp. 1042-1054, May 2011.
    • (2011) IEEE Trans. Med. Imag. , vol.30 , Issue.5 , pp. 1042-1054
    • Lingala, S.G.1    Hu, Y.2    DiBella, E.3    Jacob, M.4
  • 18
    • 77951291046 scopus 로고    scopus 로고
    • A singular value thresholding algorithm for matrix completion
    • J. Cai, E. Candès, and Z. Shen, "A singular value thresholding algorithm for matrix completion," SIAM J. Optimiz., vol. 20, no. 4, pp. 1956-1982, 2010.
    • (2010) SIAM J. Optimiz. , vol.20 , Issue.4 , pp. 1956-1982
    • Cai, J.1    Candès, E.2    Shen, Z.3
  • 19
    • 78049448383 scopus 로고    scopus 로고
    • An accelerated proximal gradient algorithm for nuclear norm regularized least squares problems
    • K.-C. Toh and S. Yun, "An accelerated proximal gradient algorithm for nuclear norm regularized least squares problems," Pacific J. Optimiz., vol. 6, no. 15, pp. 615-640, 2010.
    • (2010) Pacific J. Optimiz. , vol.6 , Issue.15 , pp. 615-640
    • Toh, K.-C.1    Yun, S.2
  • 21
    • 84881306037 scopus 로고    scopus 로고
    • Sparse and low-rank matrix decomposition via alternating direction methods
    • X. Yuan and J. Yang, "Sparse and low-rank matrix decomposition via alternating direction methods," Pacific J Optimiz., vol. 9, no. 1, pp. 167-180, 2013.
    • (2013) Pacific J Optimiz. , vol.9 , Issue.1 , pp. 167-180
    • Yuan, X.1    Yang, J.2
  • 22
    • 77949704355 scopus 로고    scopus 로고
    • Iteratively re-weighted least squares minimization for sparse recovery
    • I. Daubechies, R. DeVore, M. Fornasier, and S. Gunturk, "Iteratively re-weighted least squares minimization for sparse recovery," Commun. Pure Appl. Math., vol. 63, no. 1, pp. 1-38, 2010.
    • (2010) Commun. Pure Appl. Math. , vol.63 , Issue.1 , pp. 1-38
    • Daubechies, I.1    DeVore, R.2    Fornasier, M.3    Gunturk, S.4
  • 23
    • 84856046837 scopus 로고    scopus 로고
    • Low rank matrix recovery via iteratively reweighted least squares minimization
    • M. Fornasier, H. Rauhut, and R. Ward, "Low rank matrix recovery via iteratively reweighted least squares minimization," SIAM J. Optimiz., vol. 21, no. 4, pp. 1614-1640, 2011.
    • (2011) SIAM J. Optimiz. , vol.21 , Issue.4 , pp. 1614-1640
    • Fornasier, M.1    Rauhut, H.2    Ward, R.3
  • 25
    • 0142215333 scopus 로고    scopus 로고
    • Log-det heuristic for matrix rank minimization with applications to Hankel and Euclidean distance matrices
    • M. Fazel, H. Hindi, and S. Boyd, "Log-det heuristic for matrix rank minimization with applications to Hankel and Euclidean distance matrices," in Proc. ACC, 2003, pp. 2156-2162.
    • Proc. ACC, 2003 , pp. 2156-2162
    • Fazel, M.1    Hindi, H.2    Boyd, S.3
  • 26
    • 77957812855 scopus 로고    scopus 로고
    • Reweighted nuclear norm minimization with application to system identification
    • K. Mohan and M. Fazel, "Reweighted nuclear norm minimization with application to system identification," in Proc. ACC, 2010, pp. 2953-2959.
    • Proc. ACC, 2010 , pp. 2953-2959
    • Mohan, K.1    Fazel, M.2
  • 27
    • 84878648508 scopus 로고    scopus 로고
    • Low-rank structure learning via nonconvex heuristic recovery
    • Mar.
    • Y. Deng, Q. Dai, R. Liu, Z. Zhanga, and S. Hu, "Low-rank structure learning via nonconvex heuristic recovery," IEEE Trans. Neural Netw. Learning Syst., vol. 24, no. 3, pp. 383-396, Mar. 2013.
    • (2013) IEEE Trans. Neural Netw. Learning Syst. , vol.24 , Issue.3 , pp. 383-396
    • Deng, Y.1    Dai, Q.2    Liu, R.3    Zhanga, Z.4    Hu, S.5
  • 28
    • 84856263456 scopus 로고    scopus 로고
    • A fast majorize-minimize algorithm for the recovery of sparse and low rank matrices
    • Feb.
    • Y. Hu, S. Goud, and M. Jacob, "A fast majorize-minimize algorithm for the recovery of sparse and low rank matrices," IEEE Trans. Image Process., vol. 21, no. 2, pp. 742-753, Feb. 2012.
    • (2012) IEEE Trans. Image Process. , vol.21 , Issue.2 , pp. 742-753
    • Hu, Y.1    Goud, S.2    Jacob, M.3
  • 32
    • 79951838072 scopus 로고    scopus 로고
    • An augmented lagrangian approach to the constrained optimization formulation of imaging inverse problems
    • Mar.
    • M. Afonso, J. Bioucas-Dias, and M. Figueiredo, "An augmented lagrangian approach to the constrained optimization formulation of imaging inverse problems," IEEE Trans. Image Process., vol. 20, no. 3, pp. 681-695, Mar. 2011.
    • (2011) IEEE Trans. Image Process. , vol.20 , Issue.3 , pp. 681-695
    • Afonso, M.1    Bioucas-Dias, J.2    Figueiredo, M.3
  • 34
    • 80055061162 scopus 로고    scopus 로고
    • Composite splitting algorithms for convex optimization
    • Dec.
    • J. Huang, S. Zhang, H. Li, and D. Metaxas, "Composite splitting algorithms for convex optimization," Comput. Vision Image Understand., vol. 115, no. 12, p. 1610-1622, Dec. 2011.
    • (2011) Comput. Vision Image Understand. , vol.115 , Issue.12 , pp. 1610-1622
    • Huang, J.1    Zhang, S.2    Li, H.3    Metaxas, D.4
  • 35
    • 1942436689 scopus 로고    scopus 로고
    • Image quality assessment: From error visibility to structural similarity
    • Apr.
    • Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, "Image quality assessment: From error visibility to structural similarity," IEEE Trans. Image Process., vol. 13, no. 4, pp. 600-612, Apr. 2004.
    • (2004) IEEE Trans. Image Process. , vol.13 , Issue.4 , pp. 600-612
    • Wang, Z.1    Bovik, A.C.2    Sheikh, H.R.3    Simoncelli, E.P.4
  • 37
    • 77955811131 scopus 로고    scopus 로고
    • Generalized assorted pixel camera: Postcapture control of resolution, dynamic range, and spectrum
    • Sep.
    • F. Yasuma, T. Mitsunaga, D. Iso, and S. K. Nayar, "Generalized assorted pixel camera: Postcapture control of resolution, dynamic range, and spectrum," IEEE Trans. Image Process., vol. 19, no. 9, pp. 2241-2253, Sep. 2010.
    • (2010) IEEE Trans. Image Process. , vol.19 , Issue.9 , pp. 2241-2253
    • Yasuma, F.1    Mitsunaga, T.2    Iso, D.3    Nayar, S.K.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.