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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 11 — Apr. 10, 2000
  • pp: 1783–1793

Approximations to ideal-observer performance on signal-detection tasks

Eric Clarkson and Harrison H. Barrett  »View Author Affiliations


Applied Optics, Vol. 39, Issue 11, pp. 1783-1793 (2000)
http://dx.doi.org/10.1364/AO.39.001783


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Abstract

The ideal-observer performance, as measured by the area under the receiver’s operating characteristic curve, is computed for six examples of signal-detection tasks. Exact values for this quantity, as well as approximations based on the signal-to-noise ratio of the log likelihood and the likelihood-generating function, are found. The noise models considered are normal, exponential, Poisson, and two-sided exponential. The signal may affect the mean or the variance in each case. It is found that the approximation from the likelihood-generating function tracks well with the exact area, whereas the log-likelihood signal-to-noise approximation can fail badly. The signal-to-noise ratio of the likelihood ratio itself is also computed for each example to demonstrate that it is not a good measure of ideal-observer performance.

© 2000 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(100.2960) Image processing : Image analysis
(100.5010) Image processing : Pattern recognition
(110.2970) Imaging systems : Image detection systems
(110.3000) Imaging systems : Image quality assessment

History
Original Manuscript: June 21, 1999
Revised Manuscript: October 7, 1999
Published: April 10, 2000

Citation
Eric Clarkson and Harrison H. Barrett, "Approximations to ideal-observer performance on signal-detection tasks," Appl. Opt. 39, 1783-1793 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-11-1783


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References

  1. H. H. Barrett, C. K. Abbey, E. Clarkson, “Objective assessment of image quality. III. ROC metrics, ideal observers, and likelihood-generating functions,” J. Opt. Soc. Am. A 15, 1520–1535 (1998). [CrossRef]
  2. D. M. Green, J. A. Swets, Signal Detection Theory and Psychophysics (Wiley, New York, 1966).
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  6. H. H. Barrett, C. K. Abbey, E. Clarkson, “Some unlikely properties of the likelihood ratio and its logarithm,” in Medical Imaging 1998: Image Perception, H. L. Kundel, ed., Proc. SPIE3340, 65–77 (1998).
  7. D. G. Brown, M. F. Insana, M. Tapiovara, “Detection performance of the ideal decision function and its McLaurin expansion: signal position unknown,” J. Acoust. Soc. Am. 97, 397–398 (1995). [CrossRef]

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