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123
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COMPGEOM
2001
ACM
15 years 7 months ago
Efficient and small representation of line arrangements with applications
This paper addresses the problem of lossy compression of arrangements. Given an arrangement of n lines in the plane, we show how to construct another arrangement consisting of man...
David P. Dobkin, Ayellet Tal
128
Voted
COMPGEOM
2000
ACM
15 years 7 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...
117
Voted
COMPGEOM
1994
ACM
15 years 7 months ago
Spheres, Molecules, and Hidden Surface Removal
We devise techniques to manipulate a collection of loosely interpenetrating spheres in threedimensional space. Our study is motivated by the representation and manipulation of mol...
Dan Halperin, Mark H. Overmars
140
Voted
DGCI
2009
Springer
15 years 7 months ago
A Linear Time and Space Algorithm for Detecting Path Intersection
For discrete sets coded by the Freeman chain describing their contour, several linear algorithms have been designed for determining their shape properties. Most of them are based ...
Srecko Brlek, Michel Koskas, Xavier Provenç...
114
Voted
COMPGEOM
2005
ACM
15 years 5 months ago
Abstract order type extension and new results on the rectilinear crossing number
Order Type Extension and New Results ectilinear Crossing Number - Extended Abstract Oswin Aichholzer∗ Hannes Krasser† We provide a complete data base of all realizable order t...
Oswin Aichholzer, Hannes Krasser