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SODA
1992
ACM
140views Algorithms» more  SODA 1992»
13 years 8 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
SODA
1992
ACM
135views Algorithms» more  SODA 1992»
13 years 8 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
COMPGEOM
2008
ACM
13 years 9 months 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»
13 years 7 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
COMPGEOM
2007
ACM
13 years 9 months 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, ...