New insight into internal noise in the psychophysical model for visual signal detection

Mikhael I. Trifonov

doi:10.1117/12.171747

1 April 1994 New insight into internal noise in the psychophysical model for visual signal detection

Mikhael I. Trifonov

Proceedings Volume 2166, Medical Imaging 1994: Image Perception; (1994) https://doi.org/10.1117/12.171747
Event: Medical Imaging 1994, 1994, Newport Beach, CA, United States

Abstract

A new mathematical technique is described that makes possible to find an exact analytical solution of the quadratic optimization problem of maximizing the detectability index d' for visual signal detection on a white noise background. The model of observer is assumed to have one channel with 2D spatial sensitivity function A(x), satisfying limitation A(x) <EQ 1 and internal noise which is taken to be a stationary white noise process. The two types of internal noise (independent and dependent on input luminance distribution L(x)) are considered. The technique is based on the substitution A(x) by one or two (in dependence on type of internal noise) specially defined nonnegative measures. This substitution makes possible to introduce a generalized operator, concerned the joint action of spatially transformed external (image) noise and internal noise, and thereby to obtain an analytical expression for the optimal function A(x) which provides the largest value of d'. The function A(x) is proved to depend on not only the signal to be detected, but on internal/external variance ratio as well.

Citation Download Citation

Mikhael I. Trifonov "New insight into internal noise in the psychophysical model for visual signal detection", Proc. SPIE 2166, Medical Imaging 1994: Image Perception, (1 April 1994); https://doi.org/10.1117/12.171747

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