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COMPGEOM
2003
ACM
14 years 21 days ago
Local polyhedra and geometric graphs
We introduce a new realistic input model for geometric graphs and nonconvex polyhedra. A geometric graph G is local if (1) the longest edge at every vertex v is only a constant fa...
Jeff Erickson
COMPGEOM
2003
ACM
14 years 21 days ago
Cache-oblivious data structures for orthogonal range searching
We develop cache-oblivious data structures for orthogonal range searching, the problem of finding all T points in a set of N points in Êd lying in a query hyper-rectangle. Cache...
Pankaj K. Agarwal, Lars Arge, Andrew Danner, Bryan...
COMPGEOM
2003
ACM
14 years 21 days ago
Polygon decomposition based on the straight line skeleton
We propose a novel type of decomposition for polygonal shapes. It is thought that, for the task of object recognition, the human visual system uses a part-based representation. De...
Mirela Tanase, Remco C. Veltkamp
COMPGEOM
2003
ACM
14 years 21 days ago
The smallest enclosing ball of balls: combinatorial structure and algorithms
We develop algorithms for computing the smallest enclosing ball of a set of n balls in d-dimensional space. Unlike previous methods, we explicitly address small cases (n ≤ d + 1...
Kaspar Fischer, Bernd Gärtner
COMPGEOM
2003
ACM
14 years 21 days ago
Cost-driven octree construction schemes: an experimental study
Given a scene consisting of objects, ray shooting queries answer with the first object encountered by a given ray, and are used in ray tracing and radiosity for rendering photo-r...
Boris Aronov, Hervé Brönnimann, Allen ...