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COMPGEOM
2004
ACM
15 years 1 months ago
Complete, exact, and efficient computations with cubic curves
The Bentley-Ottmann sweep-line method can be used to compute the arrangement of planar curves provided a number of geometric primitives operating on the curves are available. We d...
Arno Eigenwillig, Lutz Kettner, Elmar Schömer...
79
Voted
COMGEO
2006
ACM
14 years 10 months ago
Exact, efficient, and complete arrangement computation for cubic curves
Arno Eigenwillig, Lutz Kettner, Elmar Schömer...
ESA
2007
Springer
155views Algorithms» more  ESA 2007»
15 years 2 months ago
Complete, Exact and Efficient Implementation for Computing the Adjacency Graph of an Arrangement of Quadrics
We present a complete, exact and efficient implementation to compute the adjacency graph of an arrangement of quadrics, i.e. surfaces of algebraic degree 2. This is a major step t...
Laurent Dupont, Michael Hemmer, Sylvain Petitjean,...
SMA
2008
ACM
149views Solid Modeling» more  SMA 2008»
14 years 10 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
96
Voted
COMGEO
2006
ACM
14 years 10 months ago
An exact and efficient approach for computing a cell in an arrangement of quadrics
We present an approach for the exact and efficient computation of a cell in an arrangement of quadric surfaces. All calculations are based on exact rational algebraic methods and ...
Elmar Schömer, Nicola Wolpert