메뉴 건너뛰기




Volumn 18, Issue 6, 2010, Pages 737-758

Iterative thresholding compressed sensing MRI based on contourlet transform

Author keywords

compressed sensing; data acquisition; geometric image transform; MRI; sparsity

Indexed keywords

ACQUISITION TIME; COMPRESSED SENSING; CONTOURLET TRANSFORM; CONTOURLETS; EDGE INFORMATION; GIBBS PHENOMENA; IMAGE FEATURES; IMAGE TRANSFORMS; ITERATIVE THRESHOLDING; K-SPACE; K-SPACE SAMPLING; MAGNETIC RESONANCE IMAGES; MUTUAL INFORMATIONS; NUMERICAL CALCULATION; OBJECTIVE CRITERIA; PEAK SIGNAL-TO-NOISE RATIO; REAL-WORLD; SIMULATION RESULT; THEORETICAL FOUNDATIONS; TRANSFORM DOMAIN; UNDER-SAMPLING; WAVELET-BASED METHODS;

EID: 77955457545     PISSN: 17415977     EISSN: 17415985     Source Type: Journal    
DOI: 10.1080/17415977.2010.492509     Document Type: Article
Times cited : (160)

References (42)
  • 1
    • 62949230239 scopus 로고
    • Quantitative evaluation of several partial Fourier reconstruction algorithms used in MRI
    • G. McGibney, M.R. Smith, S.T. Nichols, and A. Crawley, Quantitative evaluation of several partial Fourier reconstruction algorithms used in MRI, Magn. Reson. Med. 43 (1993), pp. 335-341.
    • (1993) Magn. Reson. Med , vol.43 , pp. 335-341
    • McGibney, G.1    Smith, M.R.2    Nichols, S.T.3    Crawley, A.4
  • 3
    • 67349191696 scopus 로고    scopus 로고
    • Least-square NUFFT methods applied to 2D and 3D radially encoded MR image reconstruction
    • J. Song, Y. Liu, S. Gewalt, G. Cofer, G. Johnson, and Q. Liu, Least-square NUFFT methods applied to 2D and 3D radially encoded MR image reconstruction, IEEE Trans. Biomed. Eng. 56 (2009), pp. 1134-1142.
    • (2009) IEEE Trans. Biomed. Eng , vol.56 , pp. 1134-1142
    • Song, J.1    Liu, Y.2    Gewalt, S.3    Cofer, G.4    Johnson, G.5    Liu, Q.6
  • 4
    • 34250320137 scopus 로고    scopus 로고
    • Undersampled radial MRI with multiple coils, iterative image reconstruction using total variation constraint
    • K.T. Block, M. Uecker, and J. Frahm, Undersampled radial MRI with multiple coils, iterative image reconstruction using total variation constraint, Magn. Reson. Med. 57 (2007), pp. 1086-1098.
    • (2007) Magn. Reson. Med , vol.57 , pp. 1086-1098
    • Block, K.T.1    Uecker, M.2    Frahm, J.3
  • 5
    • 34248230856 scopus 로고    scopus 로고
    • Improving k-t SENSE by adaptive regularization
    • D. Xu, K.F. King, and Z.P. Liang, Improving k-t SENSE by adaptive regularization, Magn. Reson. Med. 57 (2007), pp. 918-930.
    • (2007) Magn. Reson. Med , vol.57 , pp. 918-930
    • Xu, D.1    King, K.F.2    Liang, Z.P.3
  • 6
    • 60349105482 scopus 로고    scopus 로고
    • k-t FOCUSS: A general compressed sensing framework for high resolution dynamic MRI
    • H. Jung, K. Sung, K.S. Nayak, E.Y. Kim, and J.C. Ye, k-t FOCUSS: A general compressed sensing framework for high resolution dynamic MRI, Magn. Reson. Med. 61 (2009), pp. 103-116.
    • (2009) Magn. Reson. Med , vol.61 , pp. 103-116
    • Jung, H.1    Sung, K.2    Nayak, K.S.3    Kim, E.Y.4    Ye, J.C.5
  • 9
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • E. Candes, J. Romberg, and T. Tao, Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information, IEEE Trans. Inf. Theory 52 (2006), pp. 489-509.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , pp. 489-509
    • Candes, E.1    Romberg, J.2    Tao, T.3
  • 11
    • 36849088522 scopus 로고    scopus 로고
    • Sparse MRI: The application of compressed sensing for rapid MR imaging
    • M. Lustig, D.L. Donoho, and J.M. Pauly, Sparse MRI: The application of compressed sensing for rapid MR imaging, Magn. Reson. Med. 58 (2007), pp. 1182-1195.
    • (2007) Magn. Reson. Med , vol.58 , pp. 1182-1195
    • Lustig, M.1    Donoho, D.L.2    Pauly, J.M.3
  • 12
    • 34248396720 scopus 로고    scopus 로고
    • Projection reconstruction MR imaging using FOCUSS
    • J.C. Ye, S. Tak, Y. Han, and H.W. Park, Projection reconstruction MR imaging using FOCUSS, Magn. Reson. Med. 57 (2007), pp. 764-775.
    • (2007) Magn. Reson. Med , vol.57 , pp. 764-775
    • Ye, J.C.1    Tak, S.2    Han, Y.3    Park, H.W.4
  • 13
    • 58049195322 scopus 로고    scopus 로고
    • Highly undersampled magnetic resonance image reconstruction via homotopic l(0)-minimization
    • J. Trzasko and A. Manduca, Highly undersampled magnetic resonance image reconstruction via homotopic l(0)-minimization, IEEE Trans. Med. Imaging 28 (2009), pp. 106-121.
    • (2009) IEEE Trans. Med. Imaging , vol.28 , pp. 106-121
    • Trzasko, J.1    Manduca, A.2
  • 18
    • 60349119456 scopus 로고    scopus 로고
    • Regularized sensitivity encoding (SENSE) reconstruction using Bregman iterations
    • B. Liu, K. King, M. Steckner, J. Xie, J. Sheng, and L. Ying, Regularized sensitivity encoding (SENSE) reconstruction using Bregman iterations, Magn. Reson. Med. 61 (2009), pp. 145-152.
    • (2009) Magn. Reson. Med , vol.61 , pp. 145-152
    • Liu, B.1    King, K.2    Steckner, M.3    Xie, J.4    Sheng, J.5    Ying, L.6
  • 20
    • 0027873602 scopus 로고
    • Unconditional bases are optimal bases for data compression and for statistical estimation
    • D.L. Donoho, Unconditional bases are optimal bases for data compression and for statistical estimation, Appl. Comput. Harmon. Anal. 1 (1993), pp. 100-115.
    • (1993) Appl. Comput. Harmon. Anal , vol.1 , pp. 100-115
    • Donoho, D.L.1
  • 21
    • 0003306887 scopus 로고    scopus 로고
    • Curvelets - A surprisingly effective nonadaptive representation for objects with edges
    • S.A. Cohen, C. Rabut, and L. Schumaker, eds., Vanderbilt University Press, Nashville
    • E. Candes and D.L. Donoho, Curvelets - A surprisingly effective nonadaptive representation for objects with edges, in Curves and Surface Fitting, S.A. Cohen, C. Rabut, and L. Schumaker, eds., Vanderbilt University Press, Nashville, 2000, pp. 105-120.
    • (2000) Curves and Surface Fitting , pp. 105-120
    • Candes, E.1    Donoho, D.L.2
  • 22
    • 28944432472 scopus 로고    scopus 로고
    • The contourlet transform: An efficient directional multiresolution image representation
    • M.N. Do and M. Vetterli, The contourlet transform: An efficient directional multiresolution image representation, IEEE Trans. Image Process. 14 (2005), pp. 2091-2106.
    • (2005) IEEE Trans. Image Process , vol.14 , pp. 2091-2106
    • Do, M.N.1    Vetterli, M.2
  • 25
    • 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. 57 (2004), pp. 1413-1457.
    • (2004) Commun. Pure Appl. Math , vol.57 , pp. 1413-1457
    • Daubechies, I.1    Defrise, M.2    de Mol, C.3
  • 27
    • 33749161371 scopus 로고    scopus 로고
    • The nonsubsampled contourlet transform: Theory, design, and applications
    • D.C. Arthur, J.P. Zhou, and M.N. Do, The nonsubsampled contourlet transform: Theory, design, and applications, IEEE Trans. Image Process. 15 (2006), pp. 3089-3101.
    • (2006) IEEE Trans. Image Process , vol.15 , pp. 3089-3101
    • Arthur, D.C.1    Zhou, J.P.2    Do, M.N.3
  • 31
    • 57349100926 scopus 로고    scopus 로고
    • Linear convergence of iterative soft-thresholding
    • K. Bredies and D.A. Lorenz, Linear convergence of iterative soft-thresholding, J. Fourier Anal. Appl. 14 (2008), pp. 813-837.
    • (2008) J. Fourier Anal. Appl , vol.14 , pp. 813-837
    • Bredies, K.1    Lorenz, D.A.2
  • 32
    • 34547970687 scopus 로고    scopus 로고
    • Sparse solution of underdetermined linear equations by stagewise orthogonal matching pursuit
    • Department of Statistics, Stanford University, Stanford, California, USA
    • D.L. Donoho, Y. Tsaig, I. Drori, and J.-L. Starck, Sparse solution of underdetermined linear equations by stagewise orthogonal matching pursuit, Tech. Rep. 2006-02, Department of Statistics, Stanford University, Stanford, California, USA, 2006.
    • (2006) Tech. Rep , vol.2-2006
    • Donoho, D.L.1    Tsaig, Y.2    Drori, I.3    Starck, J.-L.4
  • 34
    • 36949033181 scopus 로고    scopus 로고
    • 1 minimization by iterative thresholding for multidimensional NMR spectroscopy
    • Article ID 20248. doi:10.1155/2007/20248
    • 1 minimization by iterative thresholding for multidimensional NMR spectroscopy, Eurasip. J. Adv. Signal Process 2007, Article ID 20248. doi:10.1155/2007/20248.
    • (2007) Eurasip. J. Adv. Signal Process
    • Drori, I.1
  • 35
    • 37149010825 scopus 로고    scopus 로고
    • Image restoration using L-1 norm penalty function
    • V. Agarwal, A.V. Gribok, and M.A. Abidi, Image restoration using L-1 norm penalty function, Inverse Probl. Sci. Eng. 15 (2007), pp. 559-583.
    • (2007) Inverse Probl. Sci. Eng , vol.15 , pp. 559-583
    • Agarwal, V.1    Gribok, A.V.2    Abidi, M.A.3
  • 36
    • 56949108156 scopus 로고    scopus 로고
    • Compressed sensing by inverse scale space and curvelet thresholding
    • J.W. Ma, Compressed sensing by inverse scale space and curvelet thresholding, Appl. Math. Comput. 206 (2008), pp. 980-988.
    • (2008) Appl. Math. Comput , vol.206 , pp. 980-988
    • Ma, J.W.1
  • 37
    • 0037187687 scopus 로고    scopus 로고
    • Information measure for performance of image fusion
    • G.H. Qu, D.L. Zhang, and P.F. Yan, Information measure for performance of image fusion, Electron. Lett. 38 (2002), pp. 313-315.
    • (2002) Electron. Lett , vol.38 , pp. 313-315
    • Qu, G.H.1    Zhang, D.L.2    Yan, P.F.3
  • 38
    • 0033908184 scopus 로고    scopus 로고
    • Objective image fusion performance measure
    • C.S. Xydeas and V. Petrovic, Objective image fusion performance measure, Electron. Lett. 36 (2000), pp. 308-309.
    • (2000) Electron. Lett , vol.36 , pp. 308-309
    • Xydeas, C.S.1    Petrovic, V.2
  • 39
  • 40
    • 33646883645 scopus 로고    scopus 로고
    • Directional multiscale modeling of images using the contourlet transform
    • D.D.-Y. Po and M.N. Do, Directional multiscale modeling of images using the contourlet transform, IEEE Trans. Image Process. 15 (2006), pp. 1610-1620.
    • (2006) IEEE Trans. Image Process , vol.15 , pp. 1610-1620
    • Po, D.D.-Y.1    Do, M.N.2
  • 41
    • 66449094112 scopus 로고    scopus 로고
    • Ph.D. thesis, Stanford University
    • M. Lustig, Sparse MRI, Ph.D. thesis, Stanford University, 2008.
    • (2008) Sparse MRI
    • Lustig, M.1
  • 42
    • 77949941159 scopus 로고    scopus 로고
    • Combined sparsifying transforms for compressed sensing MRI
    • X. Qu, X. Cao, D. Guo, C. Hu, and Z. Chen, Combined sparsifying transforms for compressed sensing MRI, Electron. Lett. 46 (2010), pp. 121-122.
    • (2010) Electron. Lett , vol.46 , pp. 121-122
    • Qu, X.1    Cao, X.2    Guo, D.3    Hu, C.4    Chen, Z.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.