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DAGSTUHL
2003
13 years 9 months ago
Reliable Distance and Intersection Computation Using Finite Precision Geometry
In this paper we discuss reliable methods in the field of finite precision geometry. We begin with a brief survey of geometric computing and approaches generally used in dealing ...
Katja Bühler, Eva Dyllong, Wolfram Luther
ESA
2004
Springer
117views Algorithms» more  ESA 2004»
14 years 1 months ago
Classroom Examples of Robustness Problems in Geometric Computations
The algorithms of computational geometry are designed for a machine model with exact real arithmetic. Substituting floating-point arithmetic for the assumed real arithmetic may c...
Lutz Kettner, Kurt Mehlhorn, Sylvain Pion, Stefan ...
EUROGRAPHICS
2010
Eurographics
14 years 4 months ago
Exact and Robust (Self-)Intersections for Polygonal Meshes
We present a new technique to implement operators that modify the topology of polygonal meshes at intersections and self-intersections. Depending on the modification strategy, th...
Marcel Campen and Leif Kobbelt
SODA
2003
ACM
131views Algorithms» more  SODA 2003»
13 years 9 months ago
Root comparison techniques applied to computing the additively weighted Voronoi diagram
This work examines algebraic techniques for comparing quadratic algebraic numbers, thus yielding methods for deciding key predicates in various geometric constructions. Our motiva...
Menelaos I. Karavelas, Ioannis Z. Emiris
ISVC
2009
Springer
14 years 2 months ago
Visualizing Arcs of Implicit Algebraic Curves, Exactly and Fast
Given a Cylindrical Algebraic Decomposition of an implicit algebraic curve, visualizing distinct curve arcs is not as easy as it stands because, despite the absence of singularitie...
Pavel Emeliyanenko, Eric Berberich, Michael Sagral...