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AMCS Seminar: Delaunay Triangulations...
Start Date: February 26, 2012
End Date: February 26, 2012
Delaunay Triangulations of Polyhedral Surfaces, Discrete Laplace-Beltrami Operator and Applications
By
Dr. Alexander Bobenko (Technische Universitaet, Berlin)
A simplicial surface provides its carrier with a natural triangulation whose vertex set includes the cone points. This triangulation is not intrinsically distinguished from other triangulations with the same vertex set, it is not preserved under isometric deformations.
We define a discrete Laplace-Beltrami operator for simplicial surfaces which depends only on the intrinsic geometry of the surface and its edge weights are positive. It is based on an intrinsic Delaunay triangulation of the surface. Some numerical benefits will be demonstrated.
Biography: Dr. Alexander Bobenko graduated from the Physical Department at Leningrad State University in 1983. In 1985, he completed his PhD in Mathematics from Steklov Mathematical Institute, St. Petersburg and was a research worker at the same institution from 1983 to 1997. From 1990 to 1992, he was the Alexander von Humboldt fellow, and in 1993, he joined TU Berlin as a Professor. Dr. Bobenko is currently affiliated with Mathematisches Institut, Technische Universitaet Berlin. His areas of interest are Geometry, mathematical physics, visualization: differential geometry, discrete differential geometry, integrable systems, Riemann surfaces. For more info: http://page.math.tu-berlin.de/~bobenko/
Date & Time: Sunday, Feb 26, 2012 from 03:00 to 4:00 pm
Location: Room # 2418 (MPR), level 2, area 2, building 1 , Al Khwarizmi
Refreshments: Available in 2418 @ 02:45 pm
For more information:
Contact: Helmut Pottmann
Email: helmut.pottmann@kaust.edu.sa
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