Estimating the shape of a moving contour
Brockett, R.; Blake, A.
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Volume 4, Issue , 14-16 Dec 1994 Page(s):3247 - 3252 vol.4
Digital Object Identifier 10.1109/CDC.1994.411640
Summary:Most tracking problems in computer vision can be conceptualized as
nonlinear estimation problems, with the gray level of each pixel being
an observation. We introduce a coordinate system and represent the curve
using its horizontal and vertical components, expressed as functions of
time and arc length. We introduce continuum models for the evolution of
the coordinates and noisy observation models that allow us to formulate
and solve a realistic class of estimation problems. One interesting
question brought into focus by this work is that of determining how to
optimize the use of spatial correlation along the curve, and temporal
correlation in the evolution of the curve, so as to reduce the effects
of the observation noise
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