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COMPGEOM
2005
ACM
13 years 10 months ago
Learning smooth objects by probing
We consider the problem of discovering a smooth unknown surface S bounding an object O in R3 . The discovery process consists of moving a point probing device in the free space ar...
Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve ...
COMPGEOM
2005
ACM
13 years 10 months ago
Curvature-bounded traversals of narrow corridors
We consider the existence and efficient construction of bounded curvature paths traversing constant-width regions of the plane, called corridors. We make explicit a width threshol...
Sergey Bereg, David G. Kirkpatrick
COMPGEOM
2005
ACM
13 years 10 months ago
Inclusion-exclusion formulas from independent complexes
Using inclusion-exclusion, we can write the indicator function of a union of finitely many balls as an alternating sum of indicator functions of common intersections of balls. We...
Dominique Attali, Herbert Edelsbrunner
COMPGEOM
2005
ACM
13 years 10 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
COMPGEOM
2005
ACM
13 years 10 months ago
Maximizing the overlap of two planar convex sets under rigid motions
Hee-Kap Ahn, Otfried Cheong, Chong-Dae Park, Chan-...
COMPGEOM
2005
ACM
13 years 10 months ago
Cache-oblivious r-trees
We develop a cache-oblivious data structure for storing a set S of N axis-aligned rectangles in the plane, such that all rectangles in S intersecting a query rectangle or point ca...
Lars Arge, Mark de Berg, Herman J. Haverkort
COMPGEOM
2005
ACM
13 years 10 months ago
Cache-oblivious planar orthogonal range searching and counting
Lars Arge, Gerth Stølting Brodal, Rolf Fage...
COMPGEOM
2005
ACM
13 years 10 months ago
Guarding a terrain by two watchtowers
Pankaj K. Agarwal, Sergey Bereg, Ovidiu Daescu, Ha...
COMPGEOM
2005
ACM
13 years 10 months ago
Kinetic sorting and kinetic convex hulls
Let S be a set of n points moving on the real line. The kinetic sorting problem is to maintain a data structure on the set S that makes it possible to quickly generate a sorted li...
Mohammad Ali Abam, Mark de Berg