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» Distinct Triangle Areas in a Planar Point Set
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CCCG
2007
13 years 7 months ago
On the Number of Empty Pseudo-Triangles in Point Sets
We analyze the minimum and maximum number of empty pseudo-triangles defined by any planar point set. We consider the cases where the three convex vertices are fixed and where th...
Marc J. van Kreveld, Bettina Speckmann
CCCG
2010
13 years 7 months ago
Minimum enclosing area triangle with a fixed angle
Given a set S of n points in the plane and a fixed angle 0 < < , we show how to find all triangles of minimum area with angle that enclose S in O(n log n) time.
Prosenjit Bose, Jean-Lou De Carufel
ICDE
2007
IEEE
112views Database» more  ICDE 2007»
14 years 7 months ago
Indexing Point Triples Via Triangle Geometry
Database search for images containing icons with specific mutual spatial relationships can be facilitated by an appropriately structured index. For the case of images containing s...
Charles Ben Cranston, Hanan Samet
GC
2007
Springer
13 years 5 months ago
Decompositions, Partitions, and Coverings with Convex Polygons and Pseudo-Triangles
We propose a novel subdivision of the plane that consists of both convex polygons and pseudotriangles. This pseudo-convex decomposition is significantly sparser than either conve...
Oswin Aichholzer, Clemens Huemer, S. Kappes, Betti...
CCCG
2009
13 years 6 months ago
Optimal Empty Pseudo-Triangles in a Point Set
Given n points in the plane, we study three optimization problems of computing an empty pseudo-triangle: we consider minimizing the perimeter, maximizing the area, and minimizing ...
Hee-Kap Ahn, Sang Won Bae, Iris Reinbacher