Journal
JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS
Volume 28, Issue 18, Pages 2327-2338Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/09205071.2014.967365
Keywords
parameter selection; sparsity enhancement; exponential wavelet transform; compressed sensing magnetic resonance imaging
Funding
- National Natural Science Foundation of China (NSFC) [40871176, 610011024]
- Nanjing Normal University Research Foundation for Talented Scholars [2013119XGQ0061]
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In this paper, we propose a novel sparse transform dubbed exponential wavelet transform (EWT), which provides sparser coefficients than the conventional wavelet transform. We also propose a reconstruction algorithm EWT-ISTA that takes advantages of both EWT and ISTA. Experiments compare the proposed EWT-ISTA with conventional ISTA method that takes wavelet transform as sparsity domain. We employ five different kinds of MR images, i.e. the phantom, the brain, the leg, the arm, and the uterus images. The results demonstrate that: (1) EWT is more efficient than wavelet transform in terms of sparsity representation, and (2) the proposed EWT-ISTA can obtain less MAE & MSE, and higher PSNR than ISTA, with comparable computation time.
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