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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
COMPGEOM
2007
ACM
13 years 11 months ago
Guard placement for efficient point-in-polygon proofs
We consider the problem of placing a small number of angle guards inside a simple polygon P so as to provide efficient proofs that any given point is inside P. Each angle guard vi...
David Eppstein, Michael T. Goodrich, Nodari Sitchi...
CSL
2004
Springer
14 years 22 days ago
Fixed Points of Type Constructors and Primitive Recursion
Abstract. For nested or heterogeneous datatypes, terminating recursion schemes considered so far have been instances of iteration, excluding efficient definitions of fixed-point ...
Andreas Abel, Ralph Matthes
IJCGA
2010
91views more  IJCGA 2010»
13 years 4 months ago
Pareto Envelopes in Simple Polygons
For a set T of n points in a metric space (X, d), a point y X is dominated by a point x X if d(x, t) d(y, t) for all t T and there exists t T such that d(x, t ) < d(y, t )....
Victor Chepoi, Karim Nouioua, Edouard Thiel, Yann ...
CCCG
2003
13 years 8 months ago
Degree Bounds for Constrained Pseudo-Triangulations
We introduce the concept of a constrained pointed pseudo-triangulation TG of a point set S with respect to a pointed planar straight line graph G = (S, E). For the case that G for...
Oswin Aichholzer, Michael Hoffmann, Bettina Speckm...