Deconvolution of dynamic contrast-enhanced MRI data by linear inversion: choice of the regularization parameter

Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine
S SourbronMichel Osteaux

Abstract

Truncated singular value decomposition (TSVD) is an effective method for the deconvolution of dynamic contrast-enhanced MRI. Two robust methods for the selection of the truncation threshold on a pixel-by-pixel basis--generalized cross validation (GCV) and the L-curve criterion (LCC)--were optimized and compared to paradigms in the literature. The methods lead to improvements in the estimate of the residue function and of its maximum and converge properly with SNR. The oscillations typically observed in the solution vanish entirely and perfusion is more accurately estimated at small mean transit times. This results in improved image contrast and increased sensitivity to perfusion abnormalities, at the cost of 1-2 min in calculation time and isolated instabilities in the image. It is argued that the latter problem may be resolved by optimization. Simulated results for GCV and LCC are equivalent in terms of performance, but GCV is faster.

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Citations

Feb 1, 2006·Abdominal Imaging·H J MichaelyS O Schoenberg
Jan 17, 2008·Investigative Radiology·Henrik J MichaelyStefan O Schoenberg
Aug 12, 2005·Magnetic Resonance in Medical Sciences : MRMS : an Official Journal of Japan Society of Magnetic Resonance in Medicine·Kenya MuraseShohei Miyazaki
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Dec 20, 2005·Neuroimaging Clinics of North America·Ona WuA Gregory Sorensen
Apr 16, 2014·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Bo XuYi Wang
Jun 24, 2010·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Andreas BiffarAndrea Baur-Melnyk
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May 27, 2015·NMR in Biomedicine·Matthew Ethan MacDonald, Richard Frayne
May 10, 2006·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Trevor K CarpenterJoanna M Wardlaw
Jan 5, 2007·Physics in Medicine and Biology·S SourbronR Luypaert
Sep 13, 2005·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·M DujardinT Stadnik
Jan 11, 2017·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Denis PeruzzoAlessandra Bertoldo
Apr 28, 2021·Magnetic Resonance Imaging·Levebvre JulieBalvay Daniel

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