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» Arrangement Computation for Planar Algebraic Curves
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COMPGEOM
2001
ACM
13 years 11 months ago
The convex hull of ellipsoids
The treatment of curved algebraic surfaces becomes more and more the focus of attention in Computational Geometry. We present a video that illustrates the computation of the conve...
Nicola Geismann, Michael Hemmer, Elmar Schöme...
WEA
2009
Springer
104views Algorithms» more  WEA 2009»
14 years 2 months ago
Univariate Algebraic Kernel and Application to Arrangements
We present a cgal-based univariate algebraic kernel, which provides certied real-root isolation of univariate polynomials with integer coecients and standard functionalities such...
Sylvain Lazard, Luis Mariano Peñaranda, Eli...
ESA
2007
Springer
155views Algorithms» more  ESA 2007»
13 years 11 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,...
COMGEO
2007
ACM
13 years 7 months ago
Advanced programming techniques applied to Cgal's arrangement package
Arrangements of planar curves are fundamental structures in computational geometry. Recently, the arrangement package of Cgal, the Computational Geometry Algorithms Library, has b...
Ron Wein, Efi Fogel, Baruch Zukerman, Dan Halperin
IMAMS
2007
157views Mathematics» more  IMAMS 2007»
13 years 9 months ago
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain