Previously [Appl. Opt. 36, p. 9212 (1997)] we examined the performance
of the linear and nonlinear preprocessed difference-of-Gaussians filt
er, and it was shown that this operation results in greater tolerance
to in-class variations while maintaining excellent discrimination abil
ity. The introduction of nonlinearity was shown to provide greater rob
ustness to the filter's response to noise and background clutter in th
e input scene. We incorporate this new operation into the synthesis of
a modified synthetic discriminant function filter. The filter is show
n to produce sharp peaks, excellent discrimination without the need to
include out-of-class objects, and good invariance to out-of-plane rot
ation over a distortion range of up to 90 degrees. Additionally, the i
ntroduction of nonlinearity is shown to provide greater robustness of
the filter response to background clutter in the input scene. (C) 1998
Optical Society of America.