Compressively Sampled MR Image Reconstruction Using Hyperbolic Tangent-Based Soft-Thresholding
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| 001 | 605546037 | ||
| 003 | CHVBK | ||
| 005 | 20210128100938.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150801xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00723-015-0683-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00723-015-0683-2 | ||
| 245 | 0 | 0 | |a Compressively Sampled MR Image Reconstruction Using Hyperbolic Tangent-Based Soft-Thresholding |h [Elektronische Daten] |c [Jawad Shah, I. Qureshi, Julio Proano, Yiming Deng] |
| 520 | 3 | |a The application of compressed sensing (CS) to magnetic resonance (MR) images utilizes the transformed domain sparsity to enable the reconstruction from an under-sampled k-space (Fourier) data using a non-linear recovery algorithm. In order to estimate the missing k-space data from the partial Fourier samples, the reconstruction algorithms minimize an objective function based on mixed l 1−l 2 norms. Iterative-shrinkage algorithms, such as parallel coordinate descent (PCD) and separable surrogate functional, provide an efficient numerical technique to minimize the l 1-regularized least square optimization problem. These algorithms require a thresholding step to induce sparsity in the solution, which is an essential requirement of the CS recovery. This paper introduces a novel soft-thresholding method based on the hyperbolic tangent function. It has been shown that by using the proposed thresholding function in the sparsifying domain and a data consistency step in the k-space, the iterative-shrinkage algorithms can be used effectively to recover the under-sampled MR images. For the purpose of demonstration, we use the proposed soft-thresholding and data consistency with the PCD algorithm and compare its performance with the conventional PCD, projection onto convex sets and low-resolution reconstruction methods. The metrics used to compare the various algorithms are the artifact power, the peak signal-to-noise ratio, the correlation and the structural similarity index. The experimental results are validated using Shepp-Logan phantom image as well as real human head MR images taken from the MRI scanner at St. Mary's Hospital, London. | |
| 540 | |a Springer-Verlag Wien, 2015 | ||
| 700 | 1 | |a Shah |D Jawad |u Department of Electrical Engineering, University of Colorado Denver and Anschutz Medical Campus, Denver, USA |4 aut | |
| 700 | 1 | |a Qureshi |D I. |u Department of Electrical Engineering, Institute of Signals, Systems and Soft computing (ISSS), Air University, Islamabad, Pakistan |4 aut | |
| 700 | 1 | |a Proano |D Julio |u Department of Electrical Engineering, University of Colorado Denver and Anschutz Medical Campus, Denver, USA |4 aut | |
| 700 | 1 | |a Deng |D Yiming |u Department of Electrical Engineering, University of Colorado Denver and Anschutz Medical Campus, Denver, USA |4 aut | |
| 773 | 0 | |t Applied Magnetic Resonance |d Springer Vienna |g 46/8(2015-08-01), 837-851 |x 0937-9347 |q 46:8<837 |1 2015 |2 46 |o 723 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00723-015-0683-2 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00723-015-0683-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Shah |D Jawad |u Department of Electrical Engineering, University of Colorado Denver and Anschutz Medical Campus, Denver, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Qureshi |D I. |u Department of Electrical Engineering, Institute of Signals, Systems and Soft computing (ISSS), Air University, Islamabad, Pakistan |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Proano |D Julio |u Department of Electrical Engineering, University of Colorado Denver and Anschutz Medical Campus, Denver, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Deng |D Yiming |u Department of Electrical Engineering, University of Colorado Denver and Anschutz Medical Campus, Denver, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Applied Magnetic Resonance |d Springer Vienna |g 46/8(2015-08-01), 837-851 |x 0937-9347 |q 46:8<837 |1 2015 |2 46 |o 723 | ||