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COMPGEOM
2011
ACM
12 years 8 months ago
A generic algebraic kernel for non-linear geometric applications
We report on a generic uni- and bivariate algebraic kernel that is publicly available with Cgal 3.7. It comprises complete, correct, though efficient state-of-the-art implementati...
Eric Berberich, Michael Hemmer, Michael Kerber
COMPGEOM
2000
ACM
13 years 9 months ago
Look - a Lazy Object-Oriented Kernel for geometric computation
In this paper we describe and discuss a new kernel design for geometric computation in the plane. It combines different kinds of floating-point filter techniques and a lazy eval...
Stefan Funke, Kurt Mehlhorn
COMBINATORICS
2006
221views more  COMBINATORICS 2006»
13 years 5 months ago
Kernels of Directed Graph Laplacians
Abstract. Let G denote a directed graph with adjacency matrix Q and indegree matrix D. We consider the Kirchhoff matrix L = D - Q, sometimes referred to as the directed Laplacian. ...
John S. Caughman IV, J. J. P. Veerman
SMA
2008
ACM
149views Solid Modeling» more  SMA 2008»
13 years 4 months ago
Exact arrangements on tori and Dupin cyclides
An algorithm and implementation is presented to compute the exact arrangement induced by arbitrary algebraic surfaces on a parametrized ring Dupin cyclide. The family of Dupin cyc...
Eric Berberich, Michael Kerber
MICS
2010
128views more  MICS 2010»
12 years 11 months ago
Arrangements on Parametric Surfaces II: Concretizations and Applications
We describe the algorithms and implementation details involved in the concretizations of a generic framework that enables exact construction, maintenance, and manipulation of arran...
Eric Berberich, Efi Fogel, Dan Halperin, Michael K...