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» Distinct Triangle Areas in a Planar Point Set
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COMPGEOM
2009
ACM
14 years 2 months ago
An improved bound on the number of unit area triangles
We show that the number of unit-area triangles determined by a set of n points in the plane is O(n9/4+ε), for any ε > 0, improving the recent bound O(n44/19) of Dumitrescu et...
Roel Apfelbaum, Micha Sharir
CCCG
2008
13 years 9 months ago
Data Structures for Restricted Triangular Range Searching
We present data structures for triangular emptiness and reporting queries for a planar point set, where the query triangle contains the origin. The data structures use near-linear...
Mashhood Ishaque, Diane L. Souvaine, Nadia Benbern...
SODA
2000
ACM
99views Algorithms» more  SODA 2000»
13 years 9 months ago
A point-placement strategy for conforming Delaunay tetrahedralization
A strategy is presented to find a set of points which yields a Conforming Delaunay tetrahedralization of a three-dimensional Piecewise-Linear Complex (PLC). This algorithm is nove...
Michael Murphy, David M. Mount, Carl W. Gable
BMVC
2010
13 years 5 months ago
Unifying Planar and Point Mapping in Monocular SLAM
Mapping planar structure in vision-based SLAM can increase robustness and significantly improve efficiency of map representation. However, previous systems have implemented planar...
José Martínez-Carranza, Andrew Calwa...
ENDM
2011
227views Hardware» more  ENDM 2011»
12 years 7 months ago
Bichromatic Triangle Games
We study a combinatorial game called Bichromatic Triangle Game, defined as follows. Two players R and B construct a triangulation on a given planar point set V . Starting from no...
Gordana Manic, Daniel M. Martin, Milos Stojakovic