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The focus
of this work is on basic representations of three- dimensional shapes.
This includes research on compact representations of surface meshes, which
is important to support efficient interaction with our visualization tools.
It also includes a definition of a new reflex-free hull. The reflex-free
hull allows a rich set of topological types, unlike the convex hull, and
can capture the notions of pockets and cavities. Even though a reflex-free
hull can be shown to have small complexity, computing a description seems
to be a challenging problem.
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