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83
Voted
SODA
1992
ACM
140views Algorithms» more  SODA 1992»
14 years 11 months ago
Separation and Approximation of Polyhedral Objects
Given a family of disjoint polygons P1, P2, : : :, Pk in the plane, and an integer parameter m, it is NP-complete to decide if the Pi's can be pairwise separated by a polygon...
Joseph S. B. Mitchell, Subhash Suri
99
Voted
SODA
1992
ACM
135views Algorithms» more  SODA 1992»
14 years 11 months ago
Applications of Parametric Searching in Geometric Optimization
We present several applications in computational geometry of Megiddo's parametric searching technique. These applications include: (1) Finding the minimum Hausdorff distance ...
Pankaj K. Agarwal, Micha Sharir, Sivan Toledo
114
Voted
COMPGEOM
2008
ACM
15 years 5 hour ago
Circular partitions with applications to visualization and embeddings
We introduce a hierarchical partitioning scheme of the Euclidean plane, called circular partitions. Such a partition consists of a hierarchy of convex polygons, each having small ...
Krzysztof Onak, Anastasios Sidiropoulos
CGF
2008
126views more  CGF 2008»
14 years 10 months ago
Maximum Entropy Coordinates for Arbitrary Polytopes
Barycentric coordinates can be used to express any point inside a triangle as a unique convex combination of the triangle's vertices, and they provide a convenient way to lin...
K. Hormann, N. Sukumar
110
Voted
COMPGEOM
2007
ACM
15 years 11 hour ago
Between umbra and penumbra
Computing shadow boundaries is a difficult problem in the case of non-point light sources. A point is in the umbra if it does not see any part of any light source; it is in full l...
Julien Demouth, Olivier Devillers, Hazel Everett, ...