MAgnitude and PHase Thresholding (MAPHT) of noisy complex-valued magnetic resonance images

Magnetic Resonance Imaging
Daniel B Rowe, E Mark Haacke

Abstract

It is often desirable to separate voxels that contain signal from tissue along with measurement noise from those that contain purely measurement noise. Generally, this separation called thresholding utilizes only the magnitude portion of the images. Recently, methods have been developed that utilize both the magnitude and phase for thresholding voxels. This manuscript is an extension previous work and uses the bivariate normality of the real and imaginary values with phase coupled means. A likelihood ratio statistic is derived that simplifies to a more familiar form that is F-distributed in large samples. It is shown that in small samples, critical values from Monte Carlo simulation can be used to threshold this statistic with the proper Type I and Type II error rates. This method is applied to susceptibility weighted magnetic resonance images and shown to produce increased tissue contrast.

References

Sep 1, 1996·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·A Macovski
Apr 28, 2004·NeuroImage·Brent R Logan, Daniel B Rowe
Aug 31, 2004·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·E Mark HaackeJürgen R Reichenbach
Sep 2, 2006·Journal of Neuroscience Methods·Daniel B RoweRaymond G Hoffmann
Dec 8, 2007·Human Brain Mapping·Brent R LoganDaniel B Rowe

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Citations

Jun 15, 2011·Magnetic Resonance Imaging·Kelly C McPheeAlexander Rauscher
Jul 13, 2011·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Robert L BarryJohn C Gore
Jan 17, 2012·NeuroImage·E Mark Haacke, Yongquan Ye

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