{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T13:16:26Z","timestamp":1740143786859,"version":"3.37.3"},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2017,12,9]],"date-time":"2017-12-09T00:00:00Z","timestamp":1512777600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61271320"],"award-info":[{"award-number":["61271320"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"China Aviation Industry","award":["cxy204SHJD22"],"award-info":[{"award-number":["cxy204SHJD22"]}]},{"name":"2010 UIC International Linkage Grant of University of Wollongong"},{"name":"Region Rh\u00f4ne-Alpes of France","award":["CMIRA COOPERA 2013340"],"award-info":[{"award-number":["CMIRA COOPERA 2013340"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Med Biol Eng Comput"],"published-print":{"date-parts":[[2018,7]]},"DOI":"10.1007\/s11517-017-1763-2","type":"journal-article","created":{"date-parts":[[2017,12,8]],"date-time":"2017-12-08T18:52:47Z","timestamp":1512759167000},"page":"1211-1225","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A singular K-space model for fast reconstruction of magnetic resonance images from undersampled data"],"prefix":"10.1007","volume":"56","author":[{"given":"Jianhua","family":"Luo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhiying","family":"Mou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7445-1582","authenticated-orcid":false,"given":"Binjie","family":"Qin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wanqing","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Philip","family":"Ogunbona","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marc C.","family":"Robini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuemin","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,12,9]]},"reference":[{"key":"1763_CR1","first-page":"258","volume":"67","author":"A Hasse","year":"1986","unstructured":"Hasse A et al (1986) FLASH imaging, rapid NMR imaging using low flip-angle pulse. J Magn Reson 67:258\u2013266","journal-title":"J Magn Reson"},{"key":"1763_CR2","doi-asserted-by":"crossref","unstructured":"Untenberger, Markus, Zhengguo Tan, Dirk Voit, Arun A. Joseph, Volkert Roeloffs, K. Dietmar Merboldt, Sebastian Sch\u00e4tz, and Jens Frahm (2015) Advances in real- time phase- contrast flow MRI using asymmetric radial gradient echoes. Magn Reson Med","DOI":"10.1002\/mrm.25696"},{"issue":"6","key":"1763_CR3","doi-asserted-by":"publisher","first-page":"1202","DOI":"10.1002\/mrm.10171","volume":"47","author":"MA Griswold","year":"2002","unstructured":"Griswold MA, Jakob PM, Heidemann RM, Nittka M, Jellus V, Wang J, Kiefer B, Haase A (2002) Generalized autocalibrating partially parallel acquisitions (GRAPPA). Magn Reson Med 47(6):1202\u20131210. https:\/\/doi.org\/10.1002\/mrm.10171","journal-title":"Magn Reson Med"},{"issue":"1","key":"1763_CR4","doi-asserted-by":"publisher","first-page":"250","DOI":"10.1002\/mrm.26112","volume":"77","author":"O Sayin","year":"2017","unstructured":"Sayin O, Haris S, Muz Zviman M, Griswold M, Halperin H, Seiberlich N, Herzka DA (2017) Real- time free-breathing cardiac imaging with self- calibrated through- time radial GRAPPA. Magn Reson Med 77(1):250\u2013264. https:\/\/doi.org\/10.1002\/mrm.26112","journal-title":"Magn Reson Med"},{"issue":"5","key":"1763_CR5","doi-asserted-by":"publisher","first-page":"1022","DOI":"10.1002\/jmri.24521","volume":"40","author":"KL Wright","year":"2014","unstructured":"Wright KL, Hamilton JI, Griswold MA, Gulani V, Seiberlich N (2014) Non-Cartesian parallel imaging reconstruction. J Magn Reson Imaging 40(5):1022\u20131040. https:\/\/doi.org\/10.1002\/jmri.24521","journal-title":"J Magn Reson Imaging"},{"key":"1763_CR6","doi-asserted-by":"publisher","unstructured":"Tsao J, Boesiger P, Pruessmann KP. k-t BLAST and k-t SENSE: dynamic MRI with high frame rate exploiting spatiotemporal correlations. Magn Reson Med, 50 :1031\u20131042, 2003, 5, DOI: https:\/\/doi.org\/10.1002\/mrm.10611","DOI":"10.1002\/mrm.10611"},{"issue":"2","key":"1763_CR7","doi-asserted-by":"publisher","first-page":"562","DOI":"10.1002\/mrm.25606","volume":"75","author":"C Binter","year":"2016","unstructured":"Binter C, Ramb R, Jung B, Kozerke S (2016) A g-factor metric for k-t SENSE and k-t PCA based parallel imaging. Magn Reson Med 75(2):562\u2013571. https:\/\/doi.org\/10.1002\/mrm.25606","journal-title":"Magn Reson Med"},{"key":"1763_CR8","doi-asserted-by":"crossref","unstructured":"D. L. Donoho (2006) \u201cCompressed sensing,\u201d IEEE Trans on Information Theory, 52(4):1289\u20131306","DOI":"10.1109\/TIT.2006.871582"},{"key":"1763_CR9","doi-asserted-by":"crossref","unstructured":"Candes EJ, Romberg JK, Tao T. Stable signal recovery from incomplete and inaccurate measurements. Commun Pur Appl Math, 59:1207\u20131223, 2006","DOI":"10.1002\/cpa.20124"},{"key":"1763_CR10","doi-asserted-by":"crossref","unstructured":"Lustig M, Donoho DL, Santos JM, & Pauly JM (2008) \u201cCompressed Sensing MRI,\u201d IEEE Signal Processing Magazine, 25: 72\u201382","DOI":"10.1109\/MSP.2007.914728"},{"issue":"6","key":"1763_CR11","doi-asserted-by":"publisher","first-page":"1182","DOI":"10.1002\/mrm.21391","volume":"58","author":"M Lustig","year":"2007","unstructured":"Lustig M, Donoho D, Pauly JM (2007) Sparse MRI: the application of compressed sensing for rapid MR imaging. Magn Reson Med 58(6):1182\u20131195. https:\/\/doi.org\/10.1002\/mrm.21391","journal-title":"Magn Reson Med"},{"issue":"8","key":"1763_CR12","doi-asserted-by":"publisher","first-page":"1303","DOI":"10.1007\/s11517-016-1591-9","volume":"55","author":"GH Hatay","year":"2017","unstructured":"Hatay GH, Yildirim M, Ozturk-Isik E (2017) Considerations in applying compressed sensing to in vivo phosphorus MR spectroscopic imaging of human brain at 3T. Med Biol Eng Comput 55(8):1303\u20131315. https:\/\/doi.org\/10.1007\/s11517-016-1591-9","journal-title":"Med Biol Eng Comput"},{"issue":"6","key":"1763_CR13","doi-asserted-by":"publisher","first-page":"1086","DOI":"10.1002\/mrm.21236","volume":"57","author":"K Block","year":"2007","unstructured":"Block K, Uecker M, Frahm J (2007) Undersampled radial MRI with multiple coils. Iterative image reconstruction using a total variation constraint. Magn Reson Med 57(6):1086\u20131098. https:\/\/doi.org\/10.1002\/mrm.21236","journal-title":"Magn Reson Med"},{"issue":"6","key":"1763_CR14","doi-asserted-by":"publisher","first-page":"2265","DOI":"10.1002\/mrm.26636","volume":"78","author":"CH Chang","year":"2017","unstructured":"Chang CH, Yu X, Ji JX (2017, in press) Compressed sensing MRI reconstruction from 3D multichannel data using GPUs. Magn Reson Med 78(6):2265\u20132274. https:\/\/doi.org\/10.1002\/mrm.26636","journal-title":"Magn Reson Med"},{"issue":"5","key":"1763_CR15","doi-asserted-by":"crossref","first-page":"1028","DOI":"10.1109\/TMI.2010.2090538","volume":"3","author":"S Ravishankar","year":"2011","unstructured":"Ravishankar S, Bresler Y (2011) MR image reconstruction from highly undersampled k-space data by dictionary learning. IEEE Trans Med Imaging 3(5):1028\u20131041","journal-title":"IEEE Trans Med Imaging"},{"issue":"5","key":"1763_CR16","doi-asserted-by":"publisher","first-page":"807","DOI":"10.1007\/s11517-016-1556-z","volume":"55","author":"J Li","year":"2017","unstructured":"Li J, Song Y, Zhu Z, Zhao J (2017) Highly undersampled MR image reconstruction using an improved dual-dictionary learning method with self-adaptive dictionaries. Med Biol Eng Comput 55(5):807\u2013822. https:\/\/doi.org\/10.1007\/s11517-016-1556-z","journal-title":"Med Biol Eng Comput"},{"issue":"6","key":"1763_CR17","doi-asserted-by":"publisher","first-page":"843","DOI":"10.1016\/j.media.2013.09.007","volume":"18","author":"X Qu","year":"2014","unstructured":"Qu X, Hou Y, Lam F, Guo D, Zhong J, Chen Z (2014) Magnetic resonance image reconstruction from undersampled measurements using a patch-based nonlocal operator. Med Image Anal 18(6):843\u2013856. https:\/\/doi.org\/10.1016\/j.media.2013.09.007","journal-title":"Med Image Anal"},{"key":"1763_CR18","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2016\/9416435","volume":"2016","author":"Y Zhang","year":"2016","unstructured":"Zhang Y, Yang J, Yang J, Liu A, Sun P (2016) A novel compressed sensing method for magnetic resonance imaging: exponential wavelet iterative shrinkage-thresholding algorithm with random shift. Int J Biomed Imaging 2016:1\u201310. https:\/\/doi.org\/10.1155\/2016\/9416435","journal-title":"Int J Biomed Imaging"},{"key":"1763_CR19","doi-asserted-by":"crossref","unstructured":"Lai Z, Qu X, Liu Y, Guo D, Ye J, Zhan Z, Chen Z (2016) Image reconstruction of compressed sensing MRI using graph-based redundant wavelet transform. Med Image Anal 93-104","DOI":"10.1016\/j.media.2015.05.012"},{"issue":"1","key":"1763_CR20","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1186\/s12880-015-0065-0","volume":"15","author":"B Yang","year":"2015","unstructured":"Yang B, Yuan M, Ma Y, Zhang J, Zhan K (2015) Local sparsity enhanced compressed sensing magnetic resonance imaging in uniform discrete curvelet domain. BMC Med Imaging 15(1):28. https:\/\/doi.org\/10.1186\/s12880-015-0065-0","journal-title":"BMC Med Imaging"},{"issue":"17","key":"1763_CR21","doi-asserted-by":"publisher","first-page":"4777","DOI":"10.1088\/0031-9155\/53\/17\/021","volume":"53","author":"EY Sidky","year":"2008","unstructured":"Sidky EY, Pan X (2008) Image reconstruction in circular cone-beam computed tomography by constrained, total-variation minimization. Phys Med Biol 53(17):4777\u20134807. https:\/\/doi.org\/10.1088\/0031-9155\/53\/17\/021","journal-title":"Phys Med Biol"},{"issue":"9","key":"1763_CR22","doi-asserted-by":"publisher","first-page":"991","DOI":"10.1007\/s11517-012-0920-x","volume":"50","author":"XX Yin","year":"2012","unstructured":"Yin XX, Ng BH, Ramamohanarao K, Baghai-Wadji A, Abbott D (2012) Exploiting sparsity and low-rank structure for the recovery of multi-slice breast MRIs with reduced sampling error. Med Biol Eng Comput 50(9):991\u20131000. https:\/\/doi.org\/10.1007\/s11517-012-0920-x","journal-title":"Med Biol Eng Comput"},{"key":"1763_CR23","doi-asserted-by":"crossref","unstructured":"Lin XX, Xia LY, Liang Y, Huang HH, Chai H. and Chan KF, (2016) Low-rank and sparse matrix decomposition based on S 1\/2 and L 1\/2 regularizations in dynamic MRI. In Image Processing Theory Tools and Applications (IPTA), 2016 6th International Conference on (pp. 1-6). IEEE","DOI":"10.1109\/IPTA.2016.7820983"},{"key":"1763_CR24","doi-asserted-by":"publisher","first-page":"1958","DOI":"10.1109\/ACCESS.2017.2657645","volume":"5","author":"F Xu","year":"2017","unstructured":"Xu F, Han J, Wang Y, Chen M, Chen Y, He G, Hu Y (2017) Dynamic magnetic resonance imaging via nonconvex low-rank matrix approximation. IEEE Access 5:1958\u20131966. https:\/\/doi.org\/10.1109\/ACCESS.2017.2657645","journal-title":"IEEE Access"},{"key":"1763_CR25","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1016\/j.compmedimag.2017.01.007","volume":"56","author":"Q Liu","year":"2017","unstructured":"Liu Q, Wang S, Liang D (2017) Sparse and dense hybrid representation via subspace modeling for dynamic MRI. Comput Med Imaging Graph 56:24\u201337. https:\/\/doi.org\/10.1016\/j.compmedimag.2017.01.007","journal-title":"Comput Med Imaging Graph"},{"issue":"9","key":"1763_CR26","doi-asserted-by":"publisher","first-page":"3291","DOI":"10.1088\/0031-9155\/61\/9\/3291","volume":"61","author":"S Wang","year":"2016","unstructured":"Wang S, Liu J, Liu Q, Ying L, Liu X, Zheng H, Liang D (2016) Iterative feature refinement for accurate undersampled MR image reconstruction. Phys Med Biol 61(9):3291\u20133316. https:\/\/doi.org\/10.1088\/0031-9155\/61\/9\/3291","journal-title":"Phys Med Biol"},{"issue":"2","key":"1763_CR27","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1007\/s12194-015-0320-7","volume":"8","author":"S Kojima","year":"2015","unstructured":"Kojima S, Shinohara H, Hashimoto T, Hirata M, Ueno E (2015) Iterative image reconstruction that includes a total variation regularization for radial MRI. Radiol Phys Technol 8(2):295\u2013304. https:\/\/doi.org\/10.1007\/s12194-015-0320-7","journal-title":"Radiol Phys Technol"},{"key":"1763_CR28","doi-asserted-by":"crossref","unstructured":"Chartrand R Exact reconstruction of sparse signals via nonconvex minimization. IEEE Signal Processing Letters 14(10):707\u2013710.2007","DOI":"10.1109\/LSP.2007.898300"},{"issue":"4","key":"1763_CR29","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1007\/s00723-016-0761-0","volume":"47","author":"M Kaleem","year":"2016","unstructured":"Kaleem M, Qureshi M, Omer H (2016) An adaptive algorithm for compressively sampled MR image reconstruction using projections onto l_ {p}-Ball. Appl Magn Reson 47(4):415\u2013428. https:\/\/doi.org\/10.1007\/s00723-016-0761-0","journal-title":"Appl Magn Reson"},{"issue":"5","key":"1763_CR30","doi-asserted-by":"publisher","first-page":"1041","DOI":"10.1109\/TMI.2016.2645122","volume":"36","author":"G Ramos-Llorden","year":"2017","unstructured":"Ramos-Llorden G, den Dekker AJ, Sijbers J (2017) Partial discreteness: a novel prior for magnetic resonance image reconstruction. IEEE Trans Med Imaging 36(5):1041\u20131053. https:\/\/doi.org\/10.1109\/TMI.2016.2645122","journal-title":"IEEE Trans Med Imaging"},{"issue":"6","key":"1763_CR31","doi-asserted-by":"publisher","first-page":"746","DOI":"10.1016\/j.mri.2008.01.035","volume":"26","author":"JH Luo","year":"2008","unstructured":"Luo JH, Zhu YM, Magnin I (2008) Phase correction-based singularity function analysis for partial K-space reconstruction. Magn Reson Imaging 26(6):746\u2013753. https:\/\/doi.org\/10.1016\/j.mri.2008.01.035","journal-title":"Magn Reson Imaging"},{"issue":"5","key":"1763_CR32","doi-asserted-by":"publisher","first-page":"1196","DOI":"10.1002\/jmri.23538","volume":"35","author":"J Luo","year":"2012","unstructured":"Luo J, Zhu Y, Li W, Croisille P, Magnin IE (2012) MRI reconstruction from 2D truncated k- space. J Magn Reson Imaging 35(5):1196\u20131120. https:\/\/doi.org\/10.1002\/jmri.23538","journal-title":"J Magn Reson Imaging"},{"issue":"4","key":"1763_CR33","doi-asserted-by":"publisher","first-page":"372","DOI":"10.1109\/42.611345","volume":"16","author":"DC Noll","year":"1997","unstructured":"Noll DC (1997) \u201cMultishot rosette trajectories for spectrally selective MR imaging,\u201d IEEE Trans. Medical Imaging 16(4):372\u2013377. https:\/\/doi.org\/10.1109\/42.611345","journal-title":"Medical Imaging"},{"issue":"6","key":"1763_CR34","doi-asserted-by":"publisher","first-page":"1375","DOI":"10.1002\/jmri.21760","volume":"29","author":"CV Schirda","year":"2009","unstructured":"Schirda CV, Tanase C, Boada FE (2009) Rosette spectroscopic imaging: optimal parameters for alias-free, high sensitivity spectroscopic imaging. J Magn Reson Imaging 29(6):1375\u20131385. https:\/\/doi.org\/10.1002\/jmri.21760","journal-title":"J Magn Reson Imaging"},{"issue":"2","key":"1763_CR35","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1002\/mrm.10692","volume":"51","author":"H Moriguchi","year":"2004","unstructured":"Moriguchi H, Duerk JL (2004) Iterative next-neighbor regridding (INNG): improved reconstruction from nonuniformly sampled K-space data using rescaled matrices. Magn Reson Med 51(2):343\u2013352. https:\/\/doi.org\/10.1002\/mrm.10692","journal-title":"Magn Reson Med"}],"container-title":["Medical &amp; Biological Engineering &amp; Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11517-017-1763-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11517-017-1763-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11517-017-1763-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,7]],"date-time":"2019-10-07T15:29:32Z","timestamp":1570462172000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11517-017-1763-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,12,9]]},"references-count":35,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2018,7]]}},"alternative-id":["1763"],"URL":"https:\/\/doi.org\/10.1007\/s11517-017-1763-2","relation":{},"ISSN":["0140-0118","1741-0444"],"issn-type":[{"type":"print","value":"0140-0118"},{"type":"electronic","value":"1741-0444"}],"subject":[],"published":{"date-parts":[[2017,12,9]]}}}