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COMPGEOM
2005
ACM
13 years 6 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 6 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 6 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 6 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 6 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 6 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 6 months ago
Cache-oblivious planar orthogonal range searching and counting
Lars Arge, Gerth Stølting Brodal, Rolf Fage...
COMPGEOM
2005
ACM
13 years 6 months ago
Guarding a terrain by two watchtowers
Pankaj K. Agarwal, Sergey Bereg, Ovidiu Daescu, Ha...
COMPGEOM
2005
ACM
13 years 6 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