|
Chair of Theoretical Computer
Science |
The main area of research in this unit is the design and the analysis of efficient algorithms and data structures, especially for geomtric problems. Typical examples are computational problems involving higher-dimensional polyhedra, localizing query points amidst a very large number of geometric objects, and approximative geometric query answering. As ancillary subjects we also study combinatorial geometry and randomization.
Currently the following more specific topics are being investigated: the efficient encoding of complicated geometric data structures such as triangulations, complexes, or arrangements; computations with complicated geometric objects such as ellipsoids; geometric algorithms in the ``transdichotomous model'', i.e. the exploitation of the limited parallelism provided by the usual computer word operations.
Raimund Seidel, Micha Sharir
Top-Down Analysis of Path Compression. ps.gz
To appear in SIAM Journal of Computing.
Raimund Seidel, Udo Adamy
On the Exact Query Complexity of Planar Point Location. ps.gz
Journal of Algorithms 37, pp. 189-217, 2000.
Raimund Seidel, Cecilia Aragon
Randomized Search Trees ps.gz
ps
Algorithmica 16 (1996) 464-497.
Markus Denny, Christian Sohler
Encoding a triangulation as a permutation of its point set ps.gz
ps
Proc. 9th Canad. Conf. Comput. Geom. (1997) 39-43.
David Avis, David Bremner, Raimund Seidel
How good are convex hull algorithms? ps.gz
ps
Comput. Geom. Theory and Appl. 7 (1997) 265-302.
Raimund Seidel
A simple and fast incremental randomized algorithm for computing trapezoidal decompositions and for triangulating polygons ps.gz
ps
Comput. Geom. Theory and Appl. 1 (1991) 51-64.
Computational
Geometry Pages of Jeff Erickson
Computational
Geometry on the World Wide Web by Guilherme Albuquerque Pinto.