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» Distinct Triangle Areas in a Planar Point Set
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COMPGEOM
2009
ACM
15 years 4 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
57
Voted
CCCG
2008
14 years 11 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»
14 years 11 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
72
Voted
BMVC
2010
14 years 7 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»
13 years 9 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