Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Asymptotic ideal observers and surrogate figures of merit for signal detection with list-mode data

Not Accessible

Your library or personal account may give you access

Abstract

The asymptotic form for the likelihood ratio is derived for list-mode data generated by an imaging system viewing a possible signal in a randomly generated background. This calculation provides an approximation to the likelihood ratio that is valid in the limit of large number of list entries, i.e., a large number of photons. These results are then used to derive surrogate figures of merit, quantities that are correlated with ideal-observer performance on detection tasks, as measured by the area under the receiver operating characteristic curve, but are easier to compute. A key component of these derivations is the determination of asymptotic forms for the Fisher information for the signal amplitude in the limit of a large number of counts or a long exposure time. This quantity is useful in its own right as a figure of merit (FOM) for the task of estimating the signal amplitude. The use of the Fisher information in detection tasks is based on the fact that it provides an approximation for ideal-observer detectability when the signal is weak. For both the fixed-count and fixed-time cases, four surrogate figures of merit are derived. Two are based on maximum likelihood reconstructions; one uses the characteristic functional of the random backgrounds. The fourth surrogate FOM is identical in the two cases and involves an integral over attribute space for each of a randomly generated sequence of backgrounds.

© 2012 Optical Society of America

Full Article  |  PDF Article
More Like This
Fisher information and surrogate figures of merit for the task-based assessment of image quality

Eric Clarkson and Fangfang Shen
J. Opt. Soc. Am. A 27(10) 2313-2326 (2010)

Objective assessment of image quality. V. Photon-counting detectors and list-mode data

Luca Caucci and Harrison H. Barrett
J. Opt. Soc. Am. A 29(6) 1003-1016 (2012)

An ideal-observer framework to investigate signal detectability in diffuse optical imaging

Abhinav K. Jha, Eric Clarkson, and Matthew A. Kupinski
Biomed. Opt. Express 4(10) 2107-2123 (2013)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (121)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved