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Summary: IEEE TRANSACTIONS ON IMAGE PROCESSING, VOL. 12, NO. 4, APRIL 2003 395
A Fast Parametric Motion Estimation Algorithm With
Illumination and Lens Distortion Correction
Yucel Altunbasak, Senior Member, IEEE, Russell M. Mersereau, Fellow, IEEE, and Andrew J. Patti
Abstract--Methods for estimating motion in video sequences
that are based on the optical flow equation (OFE) assume that
the scene illumination is uniform and that the imaging optics are
ideal. When these assumptions are appropriate, these methods
can be very accurate, but when they are not, the accuracy of the
motion field drops off accordingly. This paper extends the models
upon which the OFE methods are based to include irregular,
time-varying illumination models and models for imperfect optics
that introduce vignetting, gamma, and geometric warping, such
as are likely to be found with inexpensive PC cameras. The re-
sulting optimization framework estimates the motion parameters,
illumination parameters, and camera parameters simultaneously.
In some cases these models can lead to nonlinear equations
which must be solved iteratively; in other cases, the resulting
optimization problem is linear. For the former case an efficient,
hierarchical, iterative framework is provided that can be used to
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