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» Elementary Moves on Triangulations
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DCG
2006
96views more  DCG 2006»
13 years 7 months ago
Elementary Moves on Triangulations
It is proved that a triangulation of a polyhedron can always be transformed into any other triangulation of the polyhedron using only elementary moves. One consequence is that an ...
Monika Ludwig, Matthias Reitzner
COMGEO
2007
ACM
13 years 7 months ago
Learning smooth shapes by probing
We consider the problem of discovering a smooth unknown surface S bounding an object O in R3 . The discovery process consists of moving a point probing device in the free space ar...
Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve ...
CAGD
2008
124views more  CAGD 2008»
13 years 7 months ago
All triangulations are reachable via sequences of edge-flips: an elementary proof
A simple proof is provided for the fact that the set of all possible triangulations of a planar point set in a polygonal domain is closed under the basic diagonal flip operation.
Eliyahu Osherovich, Alfred M. Bruckstein
CORR
2011
Springer
164views Education» more  CORR 2011»
13 years 2 months ago
Irreducible triangulations of surfaces with boundary
A triangulation of a surface is irreducible if no edge can be contracted to produce a triangulation of the same surface. In this paper, we investigate irreducible triangulations o...
Alexandre Boulch, Éric Colin de Verdi&egrav...
COMPGEOM
2005
ACM
13 years 9 months ago
Learning smooth objects by probing
We consider the problem of discovering a smooth unknown surface S bounding an object O in R3 . The discovery process consists of moving a point probing device in the free space ar...
Jean-Daniel Boissonnat, Leonidas J. Guibas, Steve ...