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Magn Reson Med. 2013 Aug;70(2):370-81. doi: 10.1002/mrm.24468. Epub 2012 Oct 5.

Location constrained approximate message passing for compressed sensing MRI.

Author information

1
Department of Radiology, Stanford University, Stanford, California, USA. ksung@mednet.ucla.edu

Abstract

Iterative thresholding methods have been extensively studied as faster alternatives to convex optimization methods for solving large-sized problems in compressed sensing. A novel iterative thresholding method called LCAMP (Location Constrained Approximate Message Passing) is presented for reducing computational complexity and improving reconstruction accuracy when a nonzero location (or sparse support) constraint can be obtained from view shared images. LCAMP modifies the existing approximate message passing algorithm by replacing the thresholding stage with a location constraint, which avoids adjusting regularization parameters or thresholding levels. This work is first compared with other conventional reconstruction methods using random one-dimention signals and then applied to dynamic contrast-enhanced breast magnetic resonance imaging to demonstrate the excellent reconstruction accuracy (less than 2% absolute difference) and low computation time (5-10 s using Matlab) with highly undersampled three-dimentional data (244 × 128 × 48; overall reduction factor = 10).

KEYWORDS:

compressed sensing; image reconstruction; iterative reconstruction; quantitative DCE MRI; wavelet transformation

PMID:
23042658
PMCID:
PMC4990627
DOI:
10.1002/mrm.24468
[Indexed for MEDLINE]
Free PMC Article

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