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» Exact Geometric and Algebraic Computations in CGAL
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SMA
2009
ACM
134views Solid Modeling» more  SMA 2009»
14 years 1 months ago
Exact Delaunay graph of smooth convex pseudo-circles: general predicates, and implementation for ellipses
We examine the problem of computing exactly the Delaunay graph (and the dual Voronoi diagram) of a set of, possibly intersecting, smooth convex pseudo-circles in the Euclidean pla...
Ioannis Z. Emiris, Elias P. Tsigaridas, George M. ...
ENTCS
2002
101views more  ENTCS 2002»
13 years 6 months ago
Hypergeometric Functions in Exact Geometric Computation
Most problems in computational geometry are algebraic. A general approach to address nonrobustness in such problems is Exact Geometric Computation (EGC). There are now general lib...
Zilin Du, Maria Eleftheriou, José E. Moreir...
COMPGEOM
2008
ACM
13 years 8 months ago
Arrangements of geodesic arcs on the sphere
This movie illustrates exact construction and maintenance of arrangements induced by arcs of great circles embedded on the sphere, also known as geodesic arcs, and exact computati...
Efi Fogel, Ophir Setter, Dan Halperin
COMPGEOM
2005
ACM
13 years 8 months ago
On the exact computation of the topology of real algebraic curves
We consider the problem of computing a representation of the plane graph induced by one (or more) algebraic curves in the real plane. We make no assumptions about the curves, in p...
Raimund Seidel, Nicola Wolpert
COMPGEOM
2000
ACM
13 years 10 months ago
Algebraic methods and arithmetic filtering for exact predicates on circle arcs
The purpose of this paper is to present a new method to design exact geometric predicates in algorithms dealing with curved objects such as circular arcs. We focus on the comparis...
Olivier Devillers, Alexandra Fronville, Bernard Mo...