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» A lower bound on the number of triangulations of planar poin...
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SODA
2000
ACM
99views Algorithms» more  SODA 2000»
13 years 8 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
WADS
2005
Springer
95views Algorithms» more  WADS 2005»
14 years 29 days ago
Improved Approximation Bounds for Planar Point Pattern Matching
We analyze the performance of simple algorithms for matching two planar point sets under rigid transformations so as to minimize the directed Hausdorff distance between the sets....
Minkyoung Cho, David M. Mount
CIAC
2006
Springer
278views Algorithms» more  CIAC 2006»
13 years 11 months ago
Covering a Set of Points with a Minimum Number of Lines
We consider the minimum line covering problem: given a set S of n points in the plane, we want to find the smallest number l of straight lines needed to cover all n points in S. W...
Magdalene Grantson, Christos Levcopoulos
IPCO
2007
114views Optimization» more  IPCO 2007»
13 years 9 months ago
Distinct Triangle Areas in a Planar Point Set
Erd˝os, Purdy, and Straus conjectured that the number of distinct (nonzero) areas of the triangles determined by n noncollinear points in the plane is at least n−1 2 , which is...
Adrian Dumitrescu, Csaba D. Tóth
SODA
2001
ACM
108views Algorithms» more  SODA 2001»
13 years 8 months ago
Entropy-preserving cuttings and space-efficient planar point location
Point location is the problem of preprocessing a planar polygonal subdivision S into a data structure in order to determine efficiently the cell of the subdivision that contains a...
Sunil Arya, Theocharis Malamatos, David M. Mount