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» Arrangement Computation for Planar Algebraic Curves
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PG
2007
IEEE
13 years 11 months ago
A Subdivision Arrangement Algorithm for Semi-Algebraic Curves: An Overview
We overview a new method for computing the arrangement of semi-algebraic curves. A subdivision approach is used to compute the topology of the algebraic objects and to segment the...
Julien Wintz, Bernard Mourrain
ESA
2004
Springer
124views Algorithms» more  ESA 2004»
13 years 8 months ago
Code Flexibility and Program Efficiency by Genericity: Improving Cgal's Arrangements
Arrangements of planar curves are fundamental structures in computational geometry. We describe the recent developments in the arrangement package of Cgal, the Computational Geomet...
Efi Fogel, Ron Wein, Dan Halperin
FOCS
2003
IEEE
13 years 10 months ago
On Levels in Arrangements of Curves, II: A Simple Inequality and Its Consequences
We give a surprisingly short proof that in any planar arrangement of Ò curves where each pair intersects at most a fixed number (×) of times, the -level has subquadratic (Ç´...
Timothy M. Chan
FOCS
1999
IEEE
13 years 9 months ago
Taking a Walk in a Planar Arrangement
We present a randomized algorithm for computing portions of an arrangement of n arcs in the plane, each pair of which intersect in at most t points. We use this algorithm to perfo...
Sariel Har-Peled
SODA
2001
ACM
105views Algorithms» more  SODA 2001»
13 years 6 months ago
Online point location in planar arrangements and its applications
Recently, Har-Peled [HP99b] presented a new randomized technique for online construction of the zone of a curve in a planar arrangement of arcs. In this paper, we present several ...
Sariel Har-Peled, Micha Sharir