Everson R, Knight BW, Sirovich L. Separating spatially distributed
response to
stimulation from background .1. Optical imaging.
BIOL CYBERN
1997 DEC;77(6):407-417
We consider the problem
of estimating a small stimulus-induced response to
stimulation that is masked
by a fluctuating background when measurements of the
background in the absence
of stimulation are available, as is common in optical
imaging of the cortex and
in many other experimental situations. Two related
methods based on the Karhunen-Lohe
procedure are discussed. One seeks the
function, an indicator function,
that is most parallel to the response data and most
orthogonal to the background
data. The second removes the subspace spanned
by the background from the
response. Numerical investigations on simulated
optical imaging data show
that the first method is generally superior. Connections
between the two methods
and techniques for assessing the quality of the result
are discussed.