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ISAAC
2007
Springer
80views Algorithms» more  ISAAC 2007»
15 years 5 months ago
Geometric Streaming Algorithms with a Sorting Primitive
We solve several fundamental geometric problems under a new streaming model recently proposed by Ruhl et al. [2, 12]. In this model, in one pass the input stream can be scanned to ...
Eric Y. Chen
SODA
1993
ACM
119views Algorithms» more  SODA 1993»
15 years 27 days ago
Iterated Nearest Neighbors and Finding Minimal Polytopes
We introduce a new method for nding several types of optimal k-point sets, minimizing perimeter, diameter, circumradius, and related measures, by testing sets of the O(k) nearest ...
David Eppstein, Jeff Erickson
ICRA
1994
IEEE
111views Robotics» more  ICRA 1994»
15 years 3 months ago
From Spider Robots to Half Disk Robots
We study the problem of computing the set F of accessible and stable placements of a spider robot. The body of this robot is a single point and the legs are line segments attached...
Jean-Daniel Boissonnat, Olivier Devillers, Sylvain...
COMPGEOM
2007
ACM
15 years 3 months ago
Streaming algorithms for line simplification
We study the following variant of the well-known line-simplification problem: we are getting a possibly infinite sequence of points p0, p1, p2, . . . in the plane defining a polyg...
Mohammad Ali Abam, Mark de Berg, Peter Hachenberge...
SODA
2001
ACM
126views Algorithms» more  SODA 2001»
15 years 29 days ago
Static and kinetic geometric spanners with applications
It is well known that the Delaunay Triangulation is a spanner graph of its vertices. In this paper we show that any bounded aspect ratio triangulation in two and three dimensions ...
Menelaos I. Karavelas, Leonidas J. Guibas