# Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

__Mittagsseminar Talk Information__ | |

**Date and Time**: Thursday, October 06, 2005, 12:15 pm

**Duration**: This information is not available in the database

**Location**: This information is not available in the database

**Speaker**: Joachim Giesen

## Critical Point Theory of the Distance to a Point Sample and Applications in Geometric Modeling

Structuring finite point sets is at the heart of computational
geometry since such point sets naturally arise in many applications.
Examples in three dimensional space are point sets sampled from the
surface of a solid or the locations of the atoms in a molecule. A first
step in further processing these point sets is to structure them in some
data structure. The choice of the data structure of course depends on
the application. Structuring the point set into a simplicial complex
like the Delaunay triangulation (or its dual the Voronoi diagram) has
turned out to be appropriate for many modeling tasks. In a sequence of
papers we developed an alternative data structure, proved some of its
properties and showed that it is suited for some modeling tasks.

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