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COMGEO
2006
ACM
13 years 11 months ago
A result about the density of iterated line intersections in the plane
Let S be a finite set of points in the plane and let T (S) be the set of intersection points between pairs of lines passing through any two points in S. We characterize all configu...
Christopher J. Hillar, Darren L. Rhea
COMGEO
2006
ACM
13 years 11 months ago
Preferred directions for resolving the non-uniqueness of Delaunay triangulations
: This note proposes a simple rule to determine a unique triangulation among all Delaunay triangulations of a planar point set, based on two preferred directions. We show that the ...
Christopher Dyken, Michael S. Floater
COMGEO
2006
ACM
13 years 11 months ago
Compatible triangulations and point partitions by series-triangular graphs
We introduce series-triangular graph embeddings and show how to partition point sets with them. This result is then used to prove an upper bound on the number of Steiner points nee...
Jeff Danciger, Satyan L. Devadoss, Don Sheehy
COMGEO
2006
ACM
13 years 11 months ago
A new algorithmic approach to the computation of Minkowski functionals of polyconvex sets
An algorithm is proposed for the simultaneous computation of all Minkowski functionals (except for the volume) of sets from the convex ring in Rd discretized with respect to a give...
Simone Klenk, Volker Schmidt, Evgueni Spodarev