메뉴 건너뛰기




Volumn 57, Issue 7, 2009, Pages 2494-2502

Nonlinear filtering for sparse signal recovery from incomplete measurements

Author keywords

Compressed sensing; L1 minimization; Nonlinear filters; Sparse recovery; Total variation

Indexed keywords

COMPRESSED SENSING; L1-MINIMIZATION; NONLINEAR FILTERS; SPARSE RECOVERY; TOTAL VARIATION;

EID: 67650138146     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2009.2016244     Document Type: Article
Times cited : (17)

References (35)
  • 1
    • 0442312210 scopus 로고    scopus 로고
    • Regularization of wavelet approximations
    • Sep
    • A. Antoniadis and J. Fan, "Regularization of wavelet approximations," J. Amer. Statist. Assoc., vol. 961, no. 455, pp. 939-967, Sep. 2001.
    • (2001) J. Amer. Statist. Assoc , vol.961 , Issue.455 , pp. 939-967
    • Antoniadis, A.1    Fan, J.2
  • 2
    • 85032751965 scopus 로고    scopus 로고
    • A lecture on compressive sensing
    • Jul
    • R. Baraniuk, "A lecture on compressive sensing," IEEE Signal Process. Mag., pp. 118-124, Jul. 2007.
    • (2007) IEEE Signal Process. Mag , pp. 118-124
    • Baraniuk, R.1
  • 3
    • 36749005582 scopus 로고    scopus 로고
    • A new TwiST: Two step iterative shrinkage-thresholding algorithms for image restoration
    • J. Bioucas-Dias and M. Figueiredo, "A new TwiST: Two step iterative shrinkage-thresholding algorithms for image restoration, IEEE Trans. Image Process., vol. 16, pp. 2992-3004, 2007.
    • (2007) IEEE Trans. Image Process , vol.16 , pp. 2992-3004
    • Bioucas-Dias, J.1    Figueiredo, M.2
  • 4
    • 41449091142 scopus 로고    scopus 로고
    • Iterated hard shrinkage for minimization problems with sparsity constraints
    • K. Bredies and D. A. Lorenz, "Iterated hard shrinkage for minimization problems with sparsity constraints," SIAM J. Sci. Comput., vol. 30, no. 2, pp. 657-683, 2008.
    • (2008) SIAM J. Sci. Comput , vol.30 , Issue.2 , pp. 657-683
    • Bredies, K.1    Lorenz, D.A.2
  • 5
    • 67349244805 scopus 로고    scopus 로고
    • Linearized Bregman iterations for compressed sensing
    • unpublished
    • J. Cai, S. Osher, and Z. Shen, "Linearized Bregman iterations for compressed sensing," Math. Computat., unpublished.
    • Math. Computat
    • Cai, J.1    Osher, S.2    Shen, Z.3
  • 6
    • 84878104490 scopus 로고    scopus 로고
    • Compressive sampling
    • Madrid, Spain
    • E. J. Candés, "Compressive sampling," in Proc. Int. Congress Math., 3, Madrid, Spain, 2006, pp. 1433-1452.
    • (2006) Proc. Int. Congress Math , vol.3 , pp. 1433-1452
    • Candés, E.J.1
  • 7
    • 33745604236 scopus 로고    scopus 로고
    • Stable signal recovery from incomplete and inaccurate measurements
    • E. J. Candés, J. Romberg, and T. Tao, "Stable signal recovery from incomplete and inaccurate measurements," Commun. Pure Appl. Math, vol. 59, no. 8, pp. 1207-1223, 2006.
    • (2006) Commun. Pure Appl. Math , vol.59 , Issue.8 , pp. 1207-1223
    • Candés, E.J.1    Romberg, J.2    Tao, T.3
  • 8
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principle: Exact signal reconstruction from highly incomplete frequency information
    • E. J. Candés, J. Romberg, and T. Tao, "Robust uncertainty principle: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Inf. Theory, vol. 52, pp. 489-509, 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , pp. 489-509
    • Candés, E.J.1    Romberg, J.2    Tao, T.3
  • 9
    • 33947416035 scopus 로고    scopus 로고
    • Optimal signal recovery from random projections: Universal encoding strategies?
    • E. J. Candés, J. Romberg, and T. Tao, "Optimal signal recovery from random projections: Universal encoding strategies?," IEEE Trans. Inf. Theory, vol. 52, pp. 5406-5425, 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , pp. 5406-5425
    • Candés, E.J.1    Romberg, J.2    Tao, T.3
  • 10
    • 29144439194 scopus 로고    scopus 로고
    • Decoding by linear programming
    • E. J. Candés and T. Tao, "Decoding by linear programming" IEEE Trans. Inf. Theory, vol. 51, pp. 4203-4215, 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , pp. 4203-4215
    • Candés, E.J.1    Tao, T.2
  • 11
    • 34249687049 scopus 로고    scopus 로고
    • Sparsity and incoherence in compressive sampling
    • E. J. Candés and J. Romberg, "Sparsity and incoherence in compressive sampling," Inverse Problems, vol. 23, pp. 969-985, 2007.
    • (2007) Inverse Problems , vol.23 , pp. 969-985
    • Candés, E.J.1    Romberg, J.2
  • 12
    • 0035250066 scopus 로고    scopus 로고
    • The digital TV filter and nonlinear denoising
    • T. F. Chan, S. Osher, and J. Shen, "The digital TV filter and nonlinear denoising," IEEE Trans. Image Process., vol. 10, no. 2, pp. 231-241, 2001.
    • (2001) IEEE Trans. Image Process , vol.10 , Issue.2 , pp. 231-241
    • Chan, T.F.1    Osher, S.2    Shen, J.3
  • 14
    • 34547760736 scopus 로고    scopus 로고
    • Image denoising by sparse 3D transform-domain collaborative filtering
    • K. Dabov, A. Foi, V. Katkovnik, and K. Egiazarian, "Image denoising by sparse 3D transform-domain collaborative filtering," IEEE Trans. Image Process., vol. 16, no. 8, pp. 2080-2095, 2007.
    • (2007) IEEE Trans. Image Process , vol.16 , Issue.8 , pp. 2080-2095
    • Dabov, K.1    Foi, A.2    Katkovnik, V.3    Egiazarian, K.4
  • 15
    • 7044231546 scopus 로고    scopus 로고
    • An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
    • I. Daubechies, M. Defrise, and C. De Mol, "An iterative thresholding algorithm for linear inverse problems with a sparsity constraint," Commun. Pure Appl. Math., vol. LVII, pp. 1413-1457, 2004.
    • (2004) Commun. Pure Appl. Math , vol.57 , pp. 1413-1457
    • Daubechies, I.1    Defrise, M.2    De Mol, C.3
  • 17
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • D. L. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.4 , pp. 1289-1306
    • Donoho, D.L.1
  • 19
    • 39449126969 scopus 로고    scopus 로고
    • Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems
    • M. Figueiredo, R. Nowak, and S. Wright, "Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems" IEEE J. Sel. Topics Signal Process., vol. 1, pp. 586-598, 2007.
    • (2007) IEEE J. Sel. Topics Signal Process , vol.1 , pp. 586-598
    • Figueiredo, M.1    Nowak, R.2    Wright, S.3
  • 20
  • 22
    • 0000976514 scopus 로고
    • On the convergence of a sequential penalty function method for constrained minimization
    • N. I. M. Gould, "On the convergence of a sequential penalty function method for constrained minimization" SIAM J. Numer. Anal., vol. 26, no. 1, pp. 107-128, 1989.
    • (1989) SIAM J. Numer. Anal , vol.26 , Issue.1 , pp. 107-128
    • Gould, N.I.M.1
  • 25
    • 34748902278 scopus 로고    scopus 로고
    • Edge-preserving wavelet thresholding for image denoising
    • D. Lazzaro and L. Montefusco, "Edge-preserving wavelet thresholding for image denoising," J. Computat. Appl. Math., vol. 210, no. 1-2, 2007.
    • (2007) J. Computat. Appl. Math , vol.210 , Issue.1-2
    • Lazzaro, D.1    Montefusco, L.2
  • 26
    • 34547499028 scopus 로고    scopus 로고
    • Application of compressed sensing for rapid MR imaging
    • Rennes, France
    • M. Lustig, J. M. Santos, J.-H. Lee, D. L. Donoho and J. M. Pauly, "Application of compressed sensing for rapid MR imaging," in SPARS Rennes, France, 2005.
    • (2005) SPARS
    • Lustig, M.1    Santos, J.M.2    Lee, J.-H.3    Donoho, D.L.4    Pauly, J.M.5
  • 27
    • 64749092799 scopus 로고    scopus 로고
    • Uniform Uncertainty principle and signal recovery via regularized orthogonal matching pursuit
    • unpublished
    • D. Needell and R. Vershynin, "Uniform Uncertainty principle and signal recovery via regularized orthogonal matching pursuit," Found. Comput. Math, unpublished.
    • Found. Comput. Math
    • Needell, D.1    Vershynin, R.2
  • 28
    • 33748416181 scopus 로고    scopus 로고
    • Analysis of the recovery of edges in images and signals by minimizing nonconvex regularized least-squares
    • M. Nikolova, "Analysis of the recovery of edges in images and signals by minimizing nonconvex regularized least-squares" SIAM J. Multiscale Model. Simul., vol. 4, no. 3, pp. 960-991, 2005.
    • (2005) SIAM J. Multiscale Model. Simul , vol.4 , Issue.3 , pp. 960-991
    • Nikolova, M.1
  • 29
    • 44049083305 scopus 로고    scopus 로고
    • Sparse reconstruction by convex relaxation: Fourier and Gaussian measurements
    • M. Rudelson and R. Vershynin, "Sparse reconstruction by convex relaxation: Fourier and Gaussian measurements," in Proc. IEEE Ann. Conf. Inf. Sci. Syst., 2006, pp. 207-212.
    • (2006) Proc. IEEE Ann. Conf. Inf. Sci. Syst , pp. 207-212
    • Rudelson, M.1    Vershynin, R.2
  • 31
    • 0032319446 scopus 로고    scopus 로고
    • Bilateral filtering for gray and color images
    • C. Tomasi and R. Manduchi, "Bilateral filtering for gray and color images," in Proc. IEEE ICIP, 1998.
    • (1998) Proc. IEEE ICIP
    • Tomasi, C.1    Manduchi, R.2
  • 32
    • 64649083745 scopus 로고    scopus 로고
    • Signal recovery from random measurements via orthogonal matching pursuit
    • J. A. Tropp and A. C. Gilbert, "Signal recovery from random measurements via orthogonal matching pursuit," IEEE Trans. Inf. Theory, vol. 53, 2007.
    • (2007) IEEE Trans. Inf. Theory , vol.53
    • Tropp, J.A.1    Gilbert, A.C.2
  • 33
    • 79551689249 scopus 로고    scopus 로고
    • Robust kernel methods for sparse MR image reconstruction
    • J. Trzasko, A. Manduca, and E. Borisch, "Robust kernel methods for sparse MR image reconstruction," Lecture Notes in Comp. Sci., vol. 4791, pp. 809-816, 2007.
    • (2007) Lecture Notes in Comp. Sci , vol.4791 , pp. 809-816
    • Trzasko, J.1    Manduca, A.2    Borisch, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.