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» On empty convex polygons in a planar point set
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EJC
2008
13 years 5 months ago
A simple proof for open cups and caps
Let X be a set of points in general position in the plane. General position means that no three points lie on a line and no two points have the same x-coordinate. Y X is a cup, r...
Jakub Cerný
CAGD
2005
89views more  CAGD 2005»
13 years 5 months ago
Mean value coordinates in 3D
Abstract: Barycentric coordinates can be used both to express a point inside a tetrahedron as a convex combination of the four vertices and to linearly interpolate data given at th...
Michael S. Floater, Géza Kós, Martin...
CVPR
2000
IEEE
14 years 7 months ago
Curve and Surface Reconstruction from Regular and Non-Regular Point Sets
In this paper, we address the problem of curve and surface reconstruction from sets of points. We introduce regular interpolants which are polygonal approximations of planar curve...
Edmond Boyer, Sylvain Petitjean
CCCG
2010
13 years 7 months ago
On polygons excluding point sets
By a polygonization of a finite point set S in the plane we understand a simple polygon having S as the set of its vertices. Let B and R be sets of blue and red points, respective...
Radoslav Fulek, Balázs Keszegh, Filip Moric...
CORR
2010
Springer
90views Education» more  CORR 2010»
13 years 5 months ago
Upward Point-Set Embeddability
We study the problem of Upward Point-Set Embeddability, that is the problem of deciding whether a given upward planar digraph D has an upward planar embedding into a point set S. W...
Markus Geyer, Michael Kaufmann, Tamara Mchedlidze,...