Sciweavers

23 search results - page 4 / 5
» On Line Arrangements in the Hyperbolic Plane
Sort
View
CCCG
2010
14 years 11 months ago
Towards a dynamic data structure for efficient bounded line range search
We present a data structure for efficient axis-aligned orthogonal range search on a set of n lines in a bounded plane. The algorithm requires O(log n + k) time in the worst case t...
Thuy Le, Bradford G. Nickerson
DCG
2008
86views more  DCG 2008»
14 years 9 months ago
Efficient Algorithms for Maximum Regression Depth
We investigate algorithmic questions that arise in the statistical problem of computing lines or hyperplanes of maximum regression depth among a set of n points. We work primarily...
Marc J. van Kreveld, Joseph S. B. Mitchell, Peter ...
GIAE
2004
Springer
275views Mathematics» more  GIAE 2004»
15 years 2 months ago
Conic Sections and Meet Intersections in Geometric Algebra
This paper first gives a brief overview over some interesting descriptions of conic sections, showing formulations in the three geometric algebras of Euclidean spaces, projective ...
Eckhard M. S. Hitzer
COMPGEOM
2008
ACM
14 years 11 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...
ISVD
2007
IEEE
15 years 3 months ago
Two-dimensional line space Voronoi Diagram
Given a set of points called sites, the Voronoi diagram is a partition of the plane into sets of points having the same closest site. Several generalizations of the Voronoi diagra...
Stéphane Rivière, Dominique Schmitt