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» On Line Arrangements in the Hyperbolic Plane
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COMPGEOM
1994
ACM
15 years 1 months ago
Constructing Levels in Arrangements and Higher Order Voronoi Diagrams
We give simple randomized incremental algorithms for computing the k-level in an arrangement of n lines in the plane or in an arrangement of n planes in R3. The expected running ti...
Pankaj K. Agarwal, Mark de Berg, Jirí Matou...
FOCS
1999
IEEE
15 years 1 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
COMPGEOM
1991
ACM
15 years 1 months ago
Arrangements of Segments that Share Endpoints: Single Face Results
We provide new combinatorial bounds on the complexity of a face in an arrangement of segments in the plane. In particular, we show that the complexity of a single face in an arran...
Esther M. Arkin, Dan Halperin, Klara Kedem, Joseph...
DATE
2006
IEEE
103views Hardware» more  DATE 2006»
15 years 3 months ago
Novel designs for thermally robust coplanar crossing in QCA
In this paper, different circuit arrangements of Quantumdot Cellular Automata (QCA) are proposed for the so-called coplanar crossing. These arrangements exploit the majority votin...
Sanjukta Bhanja, Marco Ottavi, Fabrizio Lombardi, ...
MICS
2010
94views more  MICS 2010»
14 years 8 months ago
Arrangements on Parametric Surfaces I: General Framework and Infrastructure
We introduce a framework for the construction, maintenance, and manipulation of arrangements of curves embedded on certain two-dimensional orientable parametric surfaces in three-d...
Eric Berberich, Efi Fogel, Dan Halperin, Kurt Mehl...