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Summary: On the Evolution of the Skeleton
Jonas August
Yale University
Department of Electrical Engineering
Allen Tannenbaum
University of Minnesota
Department of Electrical Engineering
Steven W. Zucker
Yale University
Departments of Computer Science
and Electrical Engineering
Abstract
It is commonly held that skeletons are sensitive to noise.
It is also believed that smoothing, typically invoked to com
bat noise, obeys the causality principle that no new struc
tures are created via smoothing. We demonstrate that both
views are incorrect. We characterize how smooth points
of the skeleton evolve under a general boundary evolution,
with the corollary that, when the boundary is smoothed by
a geometric heat equation, the skeleton evolves according
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