Generalized NEQ: Fourier analysis where you would least expect to find it

Harrison H. Barrett; John L. Denny; Howard C. Gifford; Craig K. Abbey; Robert F. Wagner; Kyle J. Myers

doi:10.1117/12.237805

11 April 1996 Generalized NEQ: Fourier analysis where you would least expect to find it

Harrison H. Barrett, John L. Denny, Howard C. Gifford, Craig K. Abbey, Robert F. Wagner, Kyle J. Myers

Author Affiliations +

Proceedings Volume 2708, Medical Imaging 1996: Physics of Medical Imaging; (1996) https://doi.org/10.1117/12.237805
Event: Medical Imaging 1996, 1996, Newport Beach, CA, United States

Abstract

The simplest task for evaluation of image quality is detection of a known signal on a known background. For linear, shift-invariant imaging systems with stationary, Gaussian noise, performance of the ideal observer on this task is determined by the frequency-dependent noise- equivalent quanta (NEQ), defined as the ratio of the square of the system modulation transfer function (MTF) to the noise power spectrum (NPS). It is the purpose of this paper to show that a closely analogous expression applies without the assumption of shift-invariance or noise stationarity. To get this expression, we describe an object of finite support exactly by a Fourier series. The corresponding system description is the Fourier crosstalk matrix, the diagonal elements of which constitute a generalized MTF. Since this matrix is not diagonal, calculation of the ideal-observer performance requires a double integral over the frequency domain, but if we average the task performance over all possible locations of the signal, the off-diagonal elements average to zero and a single sum results. With one approximation, this expression takes the same form as in the case of shift-invariant imaging and stationary noise.

Citation Download Citation

Harrison H. Barrett, John L. Denny, Howard C. Gifford, Craig K. Abbey, Robert F. Wagner, and Kyle J. Myers "Generalized NEQ: Fourier analysis where you would least expect to find it", Proc. SPIE 2708, Medical Imaging 1996: Physics of Medical Imaging, (11 April 1996); https://doi.org/10.1117/12.237805

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

;

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE