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» The Number of Triangulations on Planar Point Sets
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COMPGEOM
2004
ACM
15 years 5 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
89
Voted
COCOON
2003
Springer
15 years 4 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...
99
Voted
IWPEC
2004
Springer
15 years 5 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
99
Voted
COMPGEOM
2010
ACM
15 years 4 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
16 years 1 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