Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Thursday, July 07, 2005, 12:15 pm

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

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

**Speaker**: Maike Buchin (FU Berlin)

Given a set of points sampled from a surface in R^{3} we want to find a
"good" triangulation of the points in the sense that the triangulation
resembles the underlying surface. This can be done by locally minimizing a
given cost function. One such cost function is the total absolute discrete
Gaussian curvature. Alboul and van Damme first suggested this for
post-processing of polyhedral surfaces using a simple flip heuristic.
This heuristic however can get stuck in local minima and it remained an open
question, whether an efficient algorithm exists which always finds the global
minimum. In this talk we show that, in the case of terrains, minimizing the
total absolute Gaussian curvature is NP-hard.

This is joint work with Joachim Giesen.

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