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Journal of Electronic Imaging

Novel and general approach to linear filter design for contrast-to-noise ratio enhancement of magnetic resonance images with multiple interfering features in the scene
Author(s): Hamid Soltanian-Zadeh; Joe P. Windham
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Paper Abstract

Maximizing the minimum absolute contrast-to-noise ratios (CNRs) between a desired feature and multiple interfering processes, by linear combination of images in a magnetic resonance imaging (MRI) scene sequence, is attractive for MRI analysis and interpretation. A general formulation of the problem is presented, along with a novel solution utilizing the simple and numerically stable method of Gram-Schmidt orthogonalization. We derive explicit solutions for the case of two interfering features first, then for three interfering features, and, finally, using a typical example, for an arbitrary number of interfering features. For the case of two interfering features, we also provide simplified analytical expressions for the signal-to-noise ratios(SNRs)and CNRs of the filtered images. The technique is demonstrated through its applications to simulated and acquired MRI scene sequences of a human brain with a cerebral infarction. For these applications, a 50 to 100% improvement for the smallest absolute CNR is obtained.

Paper Details

Date Published: 1 April 1992
PDF: 12 pages
J. Electron. Imaging. 1(2) doi: 10.1117/12.58698
Published in: Journal of Electronic Imaging Volume 1, Issue 2
Show Author Affiliations
Hamid Soltanian-Zadeh, Henry Ford Hospital (United States)
Joe P. Windham, Henry Ford Hospital (United States)

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