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Proceedings Paper

Quadratic Tasks And The Ideal Observer
Author(s): R. F. Wagner; H. H. Barrett
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Paper Abstract

The conventional whitening matched filter is linear in the data, even for edge-detection and object-location tasks. We have considered some special cases of the next order, or quadratic, matched filter which is second order in the data. Whereas integrals of NEQ-like quantities determine the performance of the linear filter, integrals of squared NEQ-like quantities determine the performance of the nonlinear filter. In the low contrast limit the NEQ-like quantities are precisely NEQ (noise equivalent quanta), and otherwise can be found by the Karhunen-Loeve transformation. The higher power means that these tasks are more sensitive to the higher frequency response of the hardware than are the linear tasks. Whether the human observer is capable of such quadratic tasks is an interesting open question.

Paper Details

Date Published: 1 January 1987
PDF: 4 pages
Proc. SPIE 0767, Medical Imaging, (1 January 1987); doi: 10.1117/12.967011
Show Author Affiliations
R. F. Wagner, FDA (United States)
H. H. Barrett, University of Arizona (United States)

Published in SPIE Proceedings Vol. 0767:
Medical Imaging
Samuel J. Dwyer; Roger H. Schneider, Editor(s)

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