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Proceedings Paper

Analytical approximations to the Hotelling trace for digital x-ray detectors
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Paper Abstract

The Hotelling trace is the signal-to-noise ratio for the ideal linear observer in a detection task. We provide an analytical approximation for this figure of merit when the signal is known exactly and the background is generated by a stationary random process, and the imaging system is an ideal digital x-ray detector. This approximation is based on assuming that the detector is infinite in extent. We test this approximation for finite-size detectors by comparing it to exact calculations using matrix inversion of the data covariance matrix. After verifying the validity of the approximation under a variety of circumstances, we use it to generate plots of the Hotelling trace as a function of pairs of parameters of the system, the signal and the background.

Paper Details

Date Published: 28 June 2001
PDF: 11 pages
Proc. SPIE 4320, Medical Imaging 2001: Physics of Medical Imaging, (28 June 2001); doi: 10.1117/12.430932
Show Author Affiliations
Eric Clarkson, Univ. of Arizona and Optical Sciences Ctr./Univ. of Arizona (United States)
Angel R. Pineda, Univ. of Arizona (United States)
Harrison H. Barrett, Univ. of Arizona and Optical Sciences Ctr./Univ. of Arizona (United States)


Published in SPIE Proceedings Vol. 4320:
Medical Imaging 2001: Physics of Medical Imaging
Larry E. Antonuk; Martin Joel Yaffe, Editor(s)

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