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Let be an image of the frame n which is taken at
time
and the images are taken with the time interval
.
A pixel value s located at
at time
is defined as
below.
means the pixel value at
in the
image
. A difference image is segmented into two regions
according to
.
This region consists of the projections of the nodes in and a background.
Moving region consists of three regions; generated
moving region
, continuous moving region
, and vanishing moving region
. These three
regions are defined below. In the formulations,
means union of the projections of all the nodes in the node set
onto the image plane.