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CCCG
2001
13 years 8 months ago
The reflex-free hull
We propose a hull operator, the reflex-free hull, that allows us to define a 3D analogue to bays in polygons. The reflex-free hull allows a rich set of topological types, yet for ...
Hee-Kap Ahn, Siu-Wing Cheng, Otfried Cheong, Jack ...
CCCG
2001
13 years 8 months ago
Segment endpoint visibility graphs are hamiltonian
We show that the segment endpoint visibility graph of any finite set of disjoint line segments in the plane admits a simple Hamiltonian polygon, if not all segments are collinear. ...
Michael Hoffmann, Csaba D. Tóth
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...
CCCG
2003
13 years 8 months ago
Transversals to line segments in R3
We completely describe the structure of the connected components of transversals to a collection of n arbitrary line segments in R3 . We show that n 3 line segments in R3 admit 0,...
Hervé Brönnimann, Hazel Everett, Sylva...
CCCG
2003
13 years 8 months ago
On the Complexity of Halfspace Volume Queries
Given a polyhedron P in Rd with n vertices, a halfspace volume query asks for the volume of P ∩ H for a given halfspace H. We show that, for d ≥ 3, such queries can require â„...
Erik D. Demaine, Jeff Erickson, Stefan Langerman