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Stationary wavelet transform for under-sampled MRI reconstruction.
Magn Reson Imaging. 2014 Dec; 32(10):1353-64.MR

Abstract

In addition to coil sensitivity data (parallel imaging), sparsity constraints are often used as an additional lp-penalty for under-sampled MRI reconstruction (compressed sensing). Penalizing the traditional decimated wavelet transform (DWT) coefficients, however, results in visual pseudo-Gibbs artifacts, some of which are attributed to the lack of translation invariance of the wavelet basis. We show that these artifacts can be greatly reduced by penalizing the translation-invariant stationary wavelet transform (SWT) coefficients. This holds with various additional reconstruction constraints, including coil sensitivity profiles and total variation. Additionally, SWT reconstructions result in lower error values and faster convergence compared to DWT. These concepts are illustrated with extensive experiments on in vivo MRI data with particular emphasis on multiple-channel acquisitions.

Authors+Show Affiliations

Robarts Research Institute, Western University, Canada; Biomedical Engineering, Western University, Canada. Electronic address: mkayvan@gmail.com.Robarts Research Institute, Western University, Canada; Biomedical Engineering, Western University, Canada.Robarts Research Institute, Western University, Canada; Biomedical Engineering, Western University, Canada.Robarts Research Institute, Western University, Canada; Biomedical Engineering, Western University, Canada; Medical biophysics, Western University, Canada.Robarts Research Institute, Western University, Canada; Biomedical Engineering, Western University, Canada; Medical biophysics, Western University, Canada.

Pub Type(s)

Journal Article
Research Support, Non-U.S. Gov't

Language

eng

PubMed ID

25131624

Citation

Kayvanrad, Mohammad H., et al. "Stationary Wavelet Transform for Under-sampled MRI Reconstruction." Magnetic Resonance Imaging, vol. 32, no. 10, 2014, pp. 1353-64.
Kayvanrad MH, McLeod AJ, Baxter JS, et al. Stationary wavelet transform for under-sampled MRI reconstruction. Magn Reson Imaging. 2014;32(10):1353-64.
Kayvanrad, M. H., McLeod, A. J., Baxter, J. S., McKenzie, C. A., & Peters, T. M. (2014). Stationary wavelet transform for under-sampled MRI reconstruction. Magnetic Resonance Imaging, 32(10), 1353-64. https://doi.org/10.1016/j.mri.2014.08.004
Kayvanrad MH, et al. Stationary Wavelet Transform for Under-sampled MRI Reconstruction. Magn Reson Imaging. 2014;32(10):1353-64. PubMed PMID: 25131624.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Stationary wavelet transform for under-sampled MRI reconstruction. AU - Kayvanrad,Mohammad H, AU - McLeod,A Jonathan, AU - Baxter,John S H, AU - McKenzie,Charles A, AU - Peters,Terry M, Y1 - 2014/08/15/ PY - 2014/01/10/received PY - 2014/06/10/revised PY - 2014/08/08/accepted PY - 2014/8/19/entrez PY - 2014/8/19/pubmed PY - 2015/8/1/medline KW - Accelerated MR imaging KW - Compressed sensing KW - MRI reconstruction KW - Parallel imaging KW - Sparse reconstruction KW - k-space under-sampling SP - 1353 EP - 64 JF - Magnetic resonance imaging JO - Magn Reson Imaging VL - 32 IS - 10 N2 - In addition to coil sensitivity data (parallel imaging), sparsity constraints are often used as an additional lp-penalty for under-sampled MRI reconstruction (compressed sensing). Penalizing the traditional decimated wavelet transform (DWT) coefficients, however, results in visual pseudo-Gibbs artifacts, some of which are attributed to the lack of translation invariance of the wavelet basis. We show that these artifacts can be greatly reduced by penalizing the translation-invariant stationary wavelet transform (SWT) coefficients. This holds with various additional reconstruction constraints, including coil sensitivity profiles and total variation. Additionally, SWT reconstructions result in lower error values and faster convergence compared to DWT. These concepts are illustrated with extensive experiments on in vivo MRI data with particular emphasis on multiple-channel acquisitions. SN - 1873-5894 UR - https://www.unboundmedicine.com/medline/citation/25131624/Stationary_wavelet_transform_for_under_sampled_MRI_reconstruction_ L2 - https://linkinghub.elsevier.com/retrieve/pii/S0730-725X(14)00234-3 DB - PRIME DP - Unbound Medicine ER -