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Volumn 16, Issue 1, 2012, Pages 189-200

An image space approach to Cartesian based parallel MR imaging with total variation regularization

Author keywords

Aliasing correction; Bilinear residual; Cartesian parallel magnetic resonance imaging; Primal dual; Total variation regularization

Indexed keywords

ALTERNATIVE APPROACH; BILINEAR RESIDUAL; CARTESIANS; COIL SENSITIVITY; COMPUTATIONAL RESULTS; CONVEX ANALYSIS; GAUSS-SEIDEL; GENERALIZED NEWTON; HIGH-ORDER; IMAGE SPACE; IN-VIVO; MAGNETIC IMAGING; MR IMAGING; OBJECTIVE FUNCTIONS; OPTIMALITY CONDITIONS; OPTIMALITY SYSTEM; OUTER ITERATION; PRIMAL-DUAL; PRIMAL-DUAL SYSTEMS; RECONSTRUCTED IMAGE; RECONSTRUCTION QUALITY; REGULARIZATION METHODS; TOTAL VARIATION; TOTAL VARIATION REGULARIZATION;

EID: 82355185857     PISSN: 13618415     EISSN: 13618423     Source Type: Journal    
DOI: 10.1016/j.media.2011.07.002     Document Type: Article
Times cited : (15)

References (34)
  • 1
    • 85049184544 scopus 로고    scopus 로고
    • Mathematical Problems in Image Processing
    • Springer, New York
    • Aubert G., Kornprobst P. Mathematical Problems in Image Processing. Applied Mathematical Sciences 2006, vol. 147, second ed.. Springer, New York.
    • (2006) Applied Mathematical Sciences , vol.147
    • Aubert, G.1    Kornprobst, P.2
  • 2
    • 14844353365 scopus 로고    scopus 로고
    • Dual norms and image decomposition models
    • Aujol J., Chambolle A. Dual norms and image decomposition models. Int. J. Comput. Vision 2005, 63:85-104.
    • (2005) Int. J. Comput. Vision , vol.63 , pp. 85-104
    • Aujol, J.1    Chambolle, A.2
  • 3
    • 4444334451 scopus 로고    scopus 로고
    • Current concepts and advances in clinical parallel magnetic resonance imaging
    • Bammer R., Schoenberg S.O. Current concepts and advances in clinical parallel magnetic resonance imaging. Top. Magn. Reson. Imaging 2004, 15:129-158.
    • (2004) Top. Magn. Reson. Imaging , vol.15 , pp. 129-158
    • Bammer, R.1    Schoenberg, S.O.2
  • 6
    • 34250320137 scopus 로고    scopus 로고
    • Undersampled radial MRI with multiple coils. Iterative image reconstruction using a total variation constraint
    • Block K.T., Uecker M., Frahm J. Undersampled radial MRI with multiple coils. Iterative image reconstruction using a total variation constraint. Magn. Reson. Med. 2007, 57:1086-1098.
    • (2007) Magn. Reson. Med. , vol.57 , pp. 1086-1098
    • Block, K.T.1    Uecker, M.2    Frahm, J.3
  • 8
    • 0033295350 scopus 로고    scopus 로고
    • A nonlinear primal-dual method for total variation-based image restoration
    • Chan T.F., Golub G.H., Mulet P. A nonlinear primal-dual method for total variation-based image restoration. SIAM J. Sci. Comput. 1999, 20:1964-1977.
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 1964-1977
    • Chan, T.F.1    Golub, G.H.2    Mulet, P.3
  • 9
    • 77950857925 scopus 로고    scopus 로고
    • On a bilinear optimization problem in parallel magnetic resonance imaging
    • Clason C., von Winckel G. On a bilinear optimization problem in parallel magnetic resonance imaging. Appl. Math. Comput. 2010, 216:1443-1452.
    • (2010) Appl. Math. Comput. , vol.216 , pp. 1443-1452
    • Clason, C.1    von Winckel, G.2
  • 10
    • 0002125350 scopus 로고    scopus 로고
    • Convex Analysis and Variational Problems
    • Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, English ed.
    • Ekeland I., Témam R. Convex Analysis and Variational Problems. Classics in Applied Mathematics 1999, vol. 28, English ed.. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
    • (1999) Classics in Applied Mathematics , vol.28
    • Ekeland, I.1    Témam, R.2
  • 11
    • 78149451339 scopus 로고    scopus 로고
    • Partial Differential Equations
    • American Mathematical Society, Providence, RI, second ed.
    • Evans L.C. Partial Differential Equations. Graduate Studies in Mathematics 2010, vol. 19, second ed.. American Mathematical Society, Providence, RI.
    • (2010) Graduate Studies in Mathematics , vol.19
    • Evans, L.C.1
  • 12
    • 85032752288 scopus 로고    scopus 로고
    • Model-based image reconstruction for MRI
    • Fessler J. Model-based image reconstruction for MRI. IEEE Signal Process. Mag. 2010, 27:81-89.
    • (2010) IEEE Signal Process. Mag. , vol.27 , pp. 81-89
    • Fessler, J.1
  • 16
    • 4544249333 scopus 로고    scopus 로고
    • Total bounded variation regularization as a bilaterally constrained optimization problem
    • Hintermüller M., Kunisch K. Total bounded variation regularization as a bilaterally constrained optimization problem. SIAM J. Appl. Math. 2004, 64:1311-1333.
    • (2004) SIAM J. Appl. Math. , vol.64 , pp. 1311-1333
    • Hintermüller, M.1    Kunisch, K.2
  • 17
    • 63649124634 scopus 로고    scopus 로고
    • Multiphase image segmentation and modulation recovery based on shape and topological sensitivity
    • Hintermüller M., Laurain A. Multiphase image segmentation and modulation recovery based on shape and topological sensitivity. J. Math. Imaging Vision 2009, 35:1-22.
    • (2009) J. Math. Imaging Vision , vol.35 , pp. 1-22
    • Hintermüller, M.1    Laurain, A.2
  • 18
    • 77950679349 scopus 로고    scopus 로고
    • An infeasible primal-dual algorithm for total bounded variation-based inf-convolution-type image restoration
    • Hintermüller M., Stadler G. An infeasible primal-dual algorithm for total bounded variation-based inf-convolution-type image restoration. SIAM J. Sci. Comput. 2006, 28:1-23.
    • (2006) SIAM J. Sci. Comput. , vol.28 , pp. 1-23
    • Hintermüller, M.1    Stadler, G.2
  • 19
    • 84859900377 scopus 로고    scopus 로고
    • Modulation Recovery and Image Reconstruction in MRI: A Structural Study by Parameterization. Technical Report 2008-023. MOBIS.
    • Hintermüller, M., Keeling, S.L., Laurain, A., 2008. Modulation Recovery and Image Reconstruction in MRI: A Structural Study by Parameterization. Technical Report 2008-023. MOBIS.
    • (2008)
    • Hintermüller, M.1    Keeling, S.L.2    Laurain, A.3
  • 20
    • 0037410898 scopus 로고    scopus 로고
    • Total variation based convex filters for medical imaging
    • Keeling S.L. Total variation based convex filters for medical imaging. Appl. Math. Comput. 2003, 139:101-119.
    • (2003) Appl. Math. Comput. , vol.139 , pp. 101-119
    • Keeling, S.L.1
  • 21
    • 4744350104 scopus 로고    scopus 로고
    • A variational approach to magnetic resonance coil sensitivity estimation
    • Keeling S.L., Bammer R. A variational approach to magnetic resonance coil sensitivity estimation. Appl. Math. Comput. 2004, 158:359-388.
    • (2004) Appl. Math. Comput. , vol.158 , pp. 359-388
    • Keeling, S.L.1    Bammer, R.2
  • 22
    • 33846612399 scopus 로고    scopus 로고
    • Geometric multigrid for high-order regularizations of early vision problems
    • Keeling S.L., Haase G. Geometric multigrid for high-order regularizations of early vision problems. Appl. Math. Comput. 2007, 184:536-556.
    • (2007) Appl. Math. Comput. , vol.184 , pp. 536-556
    • Keeling, S.L.1    Haase, G.2
  • 23
    • 79960835746 scopus 로고    scopus 로고
    • A total variation based approach to correcting surface coil magnetic resonance images
    • Keeling S.L., Hintermnller M., Knoll F., Kraft D., Laurain A. A total variation based approach to correcting surface coil magnetic resonance images. Appl. Math. Comput. 2011, 218:219-232.
    • (2011) Appl. Math. Comput. , vol.218 , pp. 219-232
    • Keeling, S.L.1    Hintermnller, M.2    Knoll, F.3    Kraft, D.4    Laurain, A.5
  • 25
  • 26
    • 73149123165 scopus 로고    scopus 로고
    • Accelerating SENSE using compressed sensing
    • Liang D., Liu B., Wang J., Ying L. Accelerating SENSE using compressed sensing. Magn. Reson. Med. 2009, 62:1574-1584.
    • (2009) Magn. Reson. Med. , vol.62 , pp. 1574-1584
    • Liang, D.1    Liu, B.2    Wang, J.3    Ying, L.4
  • 27
    • 36348952636 scopus 로고    scopus 로고
    • Regularized SENSE reconstruction using iteratively refined total variation method. In: Proc. 4th IEEE Int. Symp. Biomedical Imaging: From Nano to Macro ISBI 2007.
    • Liu, B., Ying, L., Steckner, M., Xie, J., Sheng, J., 2007. Regularized SENSE reconstruction using iteratively refined total variation method. In: Proc. 4th IEEE Int. Symp. Biomedical Imaging: From Nano to Macro ISBI 2007, pp. 121-124.
    • (2007) , pp. 121-124
    • Liu, B.1    Ying, L.2    Steckner, M.3    Xie, J.4    Sheng, J.5
  • 28
    • 77955102061 scopus 로고    scopus 로고
    • SPIRiT: Iterative self-consistent parallel imaging reconstruction from arbitrary k-space
    • Lustig M., Pauly J.M. SPIRiT: Iterative self-consistent parallel imaging reconstruction from arbitrary k-space. Magn. Reson. Med. 2010, 64:457-471.
    • (2010) Magn. Reson. Med. , vol.64 , pp. 457-471
    • Lustig, M.1    Pauly, J.M.2
  • 29
    • 36849088522 scopus 로고    scopus 로고
    • Sparse MRI: the application of compressed sensing for rapid MR imaging
    • Lustig M., Donoho D., Pauly J.M. Sparse MRI: the application of compressed sensing for rapid MR imaging. Magn. Reson. Med. 2007, 58:1182-1195.
    • (2007) Magn. Reson. Med. , vol.58 , pp. 1182-1195
    • Lustig, M.1    Donoho, D.2    Pauly, J.M.3
  • 31
    • 0034794323 scopus 로고    scopus 로고
    • Advances in sensitivity encoding with arbitrary k-space trajectories
    • Pruessmann K.P., Weiger M., Börnert P., Boesiger P. Advances in sensitivity encoding with arbitrary k-space trajectories. Magn. Reson. Med. 2001, 46:638-651.
    • (2001) Magn. Reson. Med. , vol.46 , pp. 638-651
    • Pruessmann, K.P.1    Weiger, M.2    Börnert, P.3    Boesiger, P.4
  • 33
    • 51449090553 scopus 로고    scopus 로고
    • Image reconstruction by regularized nonlinear inversion - joint estimation of coil sensitivities and image content
    • Uecker M., Hohage T., Block K.T., Frahm J. Image reconstruction by regularized nonlinear inversion - joint estimation of coil sensitivities and image content. Magn. Reson. Med. 2008, 60:674-682.
    • (2008) Magn. Reson. Med. , vol.60 , pp. 674-682
    • Uecker, M.1    Hohage, T.2    Block, K.T.3    Frahm, J.4
  • 34
    • 82355192717 scopus 로고    scopus 로고
    • Parallel acquisition techniques with modified SENSE reconstruction mSENSE. In: Proceedings of the First Wurzburg Workshop on Parallel Imaging.
    • Wang, J., Kluge, T., Nittka, M., Jellus, V., Kuehn, B., Kiefer, B., 2001. Parallel acquisition techniques with modified SENSE reconstruction mSENSE. In: Proceedings of the First Wurzburg Workshop on Parallel Imaging, p. 92.
    • (2001) , pp. 92
    • Wang, J.1    Kluge, T.2    Nittka, M.3    Jellus, V.4    Kuehn, B.5    Kiefer, B.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.