Smoothly clipped absolute deviation (SCAD) regularization for compressed sensing MRI using an augmented Lagrangian scheme

Mehranian, Abolfazl; Rad, Hamidreza Saligheh; Rahmim, Arman; Ay, Mohammad Reza; Zaidi, Habib

doi:10.1016/j.mri.2013.05.010

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Title		Smoothly clipped absolute deviation (SCAD) regularization for compressed sensing MRI using an augmented Lagrangian scheme
Authors		Mehranian, Abolfazl Rad, Hamidreza Saligheh Rahmim, Arman Ay, Mohammad Reza Zaidi, Habib
Published in		Magnetic Resonance Imaging. 2013, vol. 31, no. 8, p. 1399-411
Abstract		Compressed sensing (CS) provides a promising framework for MR image reconstruction from highly undersampled data, thus reducing data acquisition time. In this context, sparsity-promoting regularization techniques exploit the prior knowledge that MR images are sparse or compressible in a given transform domain. In this work, a new regularization technique was introduced by iterative linearization of the non-convex smoothly clipped absolute deviation (SCAD) norm with the aim of reducing the sampling rate even lower than it is required by the conventional l1 norm while approaching an l0 norm.
Keywords		Algorithms — Artifacts — Brain/anatomy & histology — Data Compression/methods — Humans — Image Enhancement/methods — Image Interpretation, Computer-Assisted/methods — Magnetic Resonance Imaging/methods — Numerical Analysis, Computer-Assisted — Reproducibility of Results — Sample Size — Sensitivity and Specificity
Identifiers		DOI: 10.1016/j.mri.2013.05.010 PMID: 23891179
Full text		Article (Published version) (3.6 MB) - Limited access to UNIGE
Structures		Faculté de médecine / Section de médecine clinique / Département de radiologie et informatique médicale
Research group		Imagerie Médicale (TEP et TEMP) (542)
Project		Swiss National Science Foundation: 31003A_149957
Citation (ISO format)		MEHRANIAN, Abolfazl et al. Smoothly clipped absolute deviation (SCAD) regularization for compressed sensing MRI using an augmented Lagrangian scheme. In: Magnetic Resonance Imaging, 2013, vol. 31, n° 8, p. 1399-411. doi: 10.1016/j.mri.2013.05.010 https://archive-ouverte.unige.ch/unige:40169