PMID: 15357199Sep 11, 2004Paper

Choice of the regularization parameter for perfusion quantification with MRI

Physics in Medicine and Biology
Steven SourbronTadeusz Stadnik

Abstract

Truncated singular value decomposition (TSVD) is an effective method for the deconvolution of dynamic contrast enhanced (DCE) 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. GCV and LCC were found to perform optimally when applied with a smooth version of TSVD, known as standard form Tikhonov regularization (SFTR). 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 hyperintense clusters in the image. Preliminary experience with clinical data suggests that the latter problem can be resolved using spatial continuity and/or hybrid thresholding methods. In the simulations GCV and LCC are equivalent in terms of performance, but GCV thresholding is faster.

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Citations

May 16, 2013·Neuroradiology·Julie H HarreldZoltan Patay
Oct 1, 2005·Medical Physics·Alexei V Chvetsov
Apr 7, 2010·European Journal of Radiology·Steven Sourbron
Sep 10, 2011·International Journal of Biomedical Imaging·Andreas FieselmannRebecca Fahrig
Apr 16, 2015·Journal of Cerebral Blood Flow and Metabolism : Official Journal of the International Society of Cerebral Blood Flow and Metabolism·Francesca ZanderigoR Todd Ogden
May 19, 2009·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Steven SourbronKarin Herrmann
Jul 20, 2007·Statistics in Medicine·Vasily A VakorinGordon E Sarty
May 16, 2013·NMR in Biomedicine·Steven P Sourbron, David L Buckley
Apr 16, 2014·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Bo XuYi Wang
May 1, 2010·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·John J LeeJoshua S Shimony
Apr 26, 2012·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Sathish RamaniJeffrey A Fessler
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
Nov 3, 2007·Physics in Medicine and Biology·S SourbronM Peller
Sep 13, 2005·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·M DujardinT Stadnik

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