MATHEMATICS COLLOQUIUM
Speaker: Hemant Tagare
Title: A Geometric Theory of Non-Rigid Registration
Affiliation: Yale University
Date: Friday, November 21, 2008
Place and Time: Room 101, Love Building, 3:35-4:30 pm
Refreshments: Room 204, Love Building, 3:00 pm
Abstract.
Finding a non-rigid registration (or "warping") between images is
a fundamental problem in bio-medical image processing. This talk
presents a theory in which registration problems can be put in a
unifying geometric framework. A key aspect of the theory is to treat
the registration as geometric object (a manifold). This point of view
shows very clearly how properties of registration algorithms are
related to differential forms on the manifold and certain natural
projection operators. Mathematical results of analyzing registration
using this geometric formulation will be presented. The results will be
applied to non-rigid registration of brain MRI images.
Biography.
Hemant Tagare received his Ph.D. from Rice University in 1990 in
Electrical Engineering. Since then he has been at Yale University,
initially as a postdoc and now as tenured Associate Professor. His
research interests are in bio-medical image processing. He develops
algorithms and mathematical theories of image processing. His current
research interests are in segmentation, registration, and shape analysis.
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