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This papers presents a framework for detecting and
tracking moving objects in a sequence of images. Using a statistical
approach, where the {sl inter-frame} difference is modeled by a
mixture of two Laplacian or Gaussian distributions, and an energy
minimization based approach, we reformulate the motion detection and
tracking problem as a front propagation problem. The Euler-Lagrange
equation of the designed energy functional is first derived and the
flow minimizing the energy is then obtained. Following the work by
Caselles et al ~cite{caselles-kimmel-etal:95} and Malladi
et al ~cite{malladi-sethian-etal:95,malladi-sethian-etal:93}, the
contours to be detected and tracked are modeled as geodesic active
contours evolving toward the minimum of the designed energy, under
the influence of internal and external image dependent forces.
Using the level set formulation scheme of Osher and Sethian
~cite{osher-sethian:88}, complex curves can be detected and tracked
and topological changes for the evolving curves are naturally
managed. To reduce the computational cost required by a direct
implementation of the formulation scheme of Osher and
Sethian~cite{osher-sethian:88}, a new approach exploiting aspects
from the classical Narrow Band ~cite{adalsteinsson-sethian:95} and Fast Marching
~cite{sethian:96b} methods is proposed and favorably compared to them. In order to
further reduce the CPU time, a multi-scale approach has also been
considered. Very promising experimental results are provided using real video sequences.
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International Conference on Computer Vision '98
Bombay, India.
CDROM version produced at I I T, Bombay..