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Description: |
Geometric shapes in the computer age are digital geometries,
which are on their way in taking a natural place in our vicinity.
For example, digital models appear as animated dinosaurs in
a movie, as interactive photo camera in an online sales store,
as a 3D-laser scan in the Digital Michelangelo Project and
in a virtual museum, or in medical applications like tomography.
At the very heart of these digitial technologies we encounter
fundamentally new data structures and algorithms, all with
a quest for a new level of abstraction. Here is were
mathematics enters the scene.
This talk will introduce the mathematical properties of
digital geometries and discuss some of the most
challenging problems from mathematical visualization.
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