Sensors 2010, 10(4), 3611-3625; doi:10.3390/s100403611

Relaxation Time Estimation from Complex Magnetic Resonance Images

Received: 20 December 2009; in revised form: 23 February 2010 / Accepted: 24 March 2010 / Published: 9 April 2010
(This article belongs to the Special Issue Image Sensors)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: Magnetic Resonance (MR) imaging techniques are used to measure biophysical properties of tissues. As clinical diagnoses are mainly based on the evaluation of contrast in MR images, relaxation times assume a fundamental role providing a major source of contrast. Moreover, they can give useful information in cancer diagnostic. In this paper we present a statistical technique to estimate relaxation times exploiting complex-valued MR images. Working in the complex domain instead of the amplitude one allows us to consider the data bivariate Gaussian distributed, and thus to implement a simple Least Square (LS) estimator on the available complex data. The proposed estimator results to be simple, accurate and unbiased.
Keywords: Magnetic Resonance Imaging; relaxation parameter estimation; statistical signal processing
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MDPI and ACS Style

Baselice, F.; Ferraioli, G.; Pascazio, V. Relaxation Time Estimation from Complex Magnetic Resonance Images. Sensors 2010, 10, 3611-3625.

AMA Style

Baselice F, Ferraioli G, Pascazio V. Relaxation Time Estimation from Complex Magnetic Resonance Images. Sensors. 2010; 10(4):3611-3625.

Chicago/Turabian Style

Baselice, Fabio; Ferraioli, Giampaolo; Pascazio, Vito. 2010. "Relaxation Time Estimation from Complex Magnetic Resonance Images." Sensors 10, no. 4: 3611-3625.

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