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» On polygons excluding point sets
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SODA
2001
ACM
67views Algorithms» more  SODA 2001»
15 years 5 months ago
Reconstructing a collection of curves with corners and endpoints
We present an algorithm which provably reconstructs a collection of curves with corners and endpoints from a sample set that satisfies a certain sampling condition. The algorithm ...
Stefan Funke, Edgar A. Ramos
CG
2004
Springer
15 years 4 months ago
3D video fragments: dynamic point samples for real-time free-viewpoint video
We present 3D video fragments, a dynamic point sample framework for real-time free-viewpoint video. By generalizing 2D video pixels towards 3D irregular point samples we combine t...
Stephan Würmlin, Edouard Lamboray, Markus H. ...
COMPGEOM
2006
ACM
15 years 10 months ago
Minimum weight triangulation is NP-hard
A triangulation of a planar point set S is a maximal plane straight-line graph with vertex set S. In the minimum weight triangulation (MWT) problem, we are looking for a triangula...
Wolfgang Mulzer, Günter Rote
WADS
2009
Springer
243views Algorithms» more  WADS 2009»
15 years 11 months ago
Resolving Loads with Positive Interior Stresses
We consider the pair (pi, fi) as a force with two-dimensional direction vector fi applied at the point pi in the plane. For a given set of forces we ask for a non-crossing geometri...
Günter Rote, André Schulz
SIGACT
2008
103views more  SIGACT 2008»
15 years 4 months ago
Computational geometry column 50
Two long-open problems have been solved: (1) every sufficiently large planar point set in general position contains the vertices of an empty hexagon; (2) every finite collection o...
Joseph O'Rourke