Megalopinakophobia: its symptoms and cures

Harrison H. Barrett; Kyle J. Myers; Brandon D. Gallas; Eric Clarkson; Hongbin Zhang

doi:10.1117/12.430869

28 June 2001 Megalopinakophobia: its symptoms and cures

Harrison H. Barrett, Kyle J. Myers, Brandon D. Gallas, Eric Clarkson, Hongbin Zhang

Proceedings Volume 4320, Medical Imaging 2001: Physics of Medical Imaging; (2001) https://doi.org/10.1117/12.430869
Event: Medical Imaging 2001, 2001, San Diego, CA, United States

Abstract

This paper addresses issues in the calculation of a detectability measure for the ideal linear (Hotelling) observer performing a detection task on a digital radiograph. The main computational problem is that the inverse of a very large covariance matrix is required. The conventional approach is to assume some form of stationarity and argue that the matrix is diagonalized by discrete Fourier transformation, but there are many reasons why this assumption is unrealistic. After a brief review of the underlying mathematics, we present several practical algorithms for computing the detectability and some hints as to when each is applicable. The main conclusion is that large matrices should not be feared.

Citation Download Citation

Harrison H. Barrett, Kyle J. Myers, Brandon D. Gallas, Eric Clarkson, and Hongbin Zhang "Megalopinakophobia: its symptoms and cures", Proc. SPIE 4320, Medical Imaging 2001: Physics of Medical Imaging, (28 June 2001); https://doi.org/10.1117/12.430869

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