Quadratic Tasks And The Ideal Observer

R. F. Wagner; H. H. Barrett

doi:10.1117/12.967011

1 January 1987 Quadratic Tasks And The Ideal Observer

R. F. Wagner, H. H. Barrett

Proceedings Volume 0767, Medical Imaging; (1987) https://doi.org/10.1117/12.967011
Event: Medical Imaging, 1987, Newport Beach, CA, United States

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.

Citation Download Citation

R. F. Wagner and H. H. Barrett "Quadratic Tasks And The Ideal Observer", Proc. SPIE 0767, Medical Imaging, (1 January 1987); https://doi.org/10.1117/12.967011

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

Includes PDF, HTML & Video, when available