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» Exact Geometric and Algebraic Computations in CGAL
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MICS
2010
128views more  MICS 2010»
13 years 1 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...
ESA
2006
Springer
130views Algorithms» more  ESA 2006»
13 years 10 months ago
Robust, Generic and Efficient Construction of Envelopes of Surfaces in Three-Dimensional Spaces
Lower envelopes are fundamental structures in computational geometry, which have many applications, such as computing general Voronoi diagrams and performing hidden surface removal...
Michal Meyerovitch
COMGEO
2007
ACM
13 years 6 months ago
A package for exact kinetic data structures and sweepline algorithms
In this paper we present a package for implementing exact kinetic data structures built on objects which move along polynomial trajectories. We discuss how the package design was ...
Daniel Russel, Menelaos I. Karavelas, Leonidas J. ...
COMPGEOM
1997
ACM
13 years 10 months ago
Computing Exact Geometric Predicates Using Modular Arithmetic with Single Precision
Abstract: We propose an e cient method that determines the sign of a multivariate polynomial expression with integer coe cients. This is a central operation on which the robustness...
Hervé Brönnimann, Ioannis Z. Emiris, V...
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
14 years 22 days ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert