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COMPGEOM
2008
ACM
13 years 6 months ago
The complexity of the outer face in arrangements of random segments
We investigate the complexity of the outer face in arrangements of line segments of a fixed length in the plane, drawn uniformly at random within a square. We derive upper bounds ...
Noga Alon, Dan Halperin, Oren Nechushtan, Micha Sh...
COMPGEOM
1994
ACM
13 years 9 months ago
Computing Many Faces in Arrangements of Lines and Segments
We present randomized algorithms for computing many faces in an arrangement of lines or of segments in the plane, which are considerably simpler and slightly faster than the previo...
Pankaj K. Agarwal, Jirí Matousek, Otfried S...
COMPGEOM
1991
ACM
13 years 8 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...
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
MVA
1990
123views Computer Vision» more  MVA 1990»
13 years 6 months ago
Randomized Hough Transform (RHT) in Engineering Drawing Vectorization System
Abstract When the data is processed from the digitized drawThis paper presents how the recently presented Randomized IIough Transform (RHT) method can be used as a part of an engin...
Pekka Kultanen, Erkki Oja, Lei Xu