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» Focal surfaces of discrete geometry
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COMPGEOM
2006
ACM
14 years 1 months ago
Algorithms for two-box covering
We study the problem of covering a set of points or polyhedra in 3 with two axis-aligned boxes in order to minimize a function of the measures of the two boxes, such as the sum or...
Esther M. Arkin, Gill Barequet, Joseph S. B. Mitch...
COMPGEOM
1987
ACM
13 years 11 months ago
Polygon Properties Calculated from the Vertex Neighborhoods
Calculating properties of polyhedra given only the set of the locations and neighborhoods of the vertices is easy. Possible properties include volume, surface area, and point cont...
Wm. Randolph Franklin
COMPGEOM
2008
ACM
13 years 9 months ago
Robust construction of the three-dimensional flow complex
The Delaunay triangulation and its dual the Voronoi diagram are ubiquitous geometric complexes. From a topological standpoint, the connection has recently been made between these ...
Frédéric Cazals, Aditya G. Parameswa...
COMPGEOM
2011
ACM
12 years 11 months ago
Comparing distributions and shapes using the kernel distance
Starting with a similarity function between objects, it is possible to define a distance metric (the kernel distance) on pairs of objects, and more generally on probability distr...
Sarang C. Joshi, Raj Varma Kommaraju, Jeff M. Phil...
COMPGEOM
2003
ACM
14 years 23 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