Structural filtering: a paradigm for efficient and exact geometric programs

Authors:
Stefan Funke;Kurt Mehlhorn;Stefan Näher
Affiliations:
Computer Science Department, Stanford University, Stanford, CA;Max-Planck-Institut für Informatik, Im Stadtwald, Saarbrücken, Germany;Universität Trier, Fachbereich IV - Informatik, Trier, Germany
Venue:
Computational Geometry: Theory and Applications - Special issue: The 11th Candian conference on computational geometry - CCCG 99
Year:
2005

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Abstract

We introduce a new and simple filtering technique that can be used in the implementation of geometric algorithms called "structural filtering". Using this filtering technique we gain about 20% when compared to predicate-filtered implementations. Of theoretical interest are some results regarding the robustness of sorting algorithms against erroneous comparisons.There is software support for the concept of structural filtering in LEDA (Library of Efficient Data Types and Algorithms, http://www.mpi-sb.mpg.de/LEDA/leda.html) and CGAL (Computational Geometry Algorithms Library, http://www.cgal.org).