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» The Number of Triangulations on Planar Point Sets
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COMPGEOM
2004
ACM
14 years 2 months ago
On empty convex polygons in a planar point set
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
Rom Pinchasi, Rados Radoicic, Micha Sharir
COCOON
2003
Springer
14 years 1 months ago
On Constrained Minimum Pseudotriangulations
In this paper, we show some properties of a pseudotriangle and present three combinatorial bounds: the ratio of the size of minimum pseudotriangulation of a point set S and the siz...
Günter Rote, Cao An Wang, Lusheng Wang, Yin-F...
IWPEC
2004
Springer
14 years 1 months ago
The Minimum Weight Triangulation Problem with Few Inner Points
We propose to look at the computational complexity of 2-dimensional geometric optimization problems on a finite point set with respect to the number of inner points (that is, poi...
Michael Hoffmann, Yoshio Okamoto
COMPGEOM
2010
ACM
14 years 1 months ago
A kinetic triangulation scheme for moving points in the plane
We present a simple randomized scheme for triangulating a set P of n points in the plane, and construct a kinetic data structure which maintains the triangulation as the points of...
Haim Kaplan, Natan Rubin, Micha Sharir
ECCV
2006
Springer
14 years 10 months ago
Triangulation for Points on Lines
Triangulation consists in finding a 3D point reprojecting the best as possible onto corresponding image points. It is classical to minimize the reprojection error, which, in the p...
Adrien Bartoli, Jean-Thierry Lapresté