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Margolis Foundation","doi-asserted-by":"publisher","award":["R01EB006155"],"award-info":[{"award-number":["R01EB006155"]}],"id":[{"id":"10.13039\/100006415","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Biomedical Imaging"],"published-print":{"date-parts":[[2008,1]]},"abstract":"<jats:p>Recently, there has been a significant interest in applying reconstruction techniques, like constrained reconstruction or compressed sampling methods, to undersampled k\u2010space data in MRI. Here, we propose a novel reordering technique to improve these types  of reconstruction methods. In this technique, the intensities of the signal estimate are reordered according to a preprocessing step when applying the constraints on the estimated solution within the iterative reconstruction. The ordering of the intensities is such that it makes the original artifact\u2010free signal monotonic and thus minimizes the finite differences norm if the correct image is estimated; this ordering can be estimated based on the undersampled measured data. Theory and example applications of the method for accelerating myocardial perfusion imaging with respiratory motion and brain diffusion tensor imaging are presented.<\/jats:p>","DOI":"10.1155\/2008\/341684","type":"journal-article","created":{"date-parts":[[2008,12,11]],"date-time":"2008-12-11T15:54:27Z","timestamp":1229010867000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":32,"title":["Reordering for Improved Constrained Reconstruction from Undersampled k\u2010Space Data"],"prefix":"10.1155","volume":"2008","author":[{"given":"Ganesh","family":"Adluru","sequence":"first","affiliation":[]},{"given":"Edward V. 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