CCCG
2003
13 years 6 months ago
2003
The problem of determining whether a polyhedron has a constrained Delaunay tetrahedralization is NP-complete. However, if no five vertices of the polyhedron lie on a common spher...
CCCG
2003
13 years 6 months ago
2003
We consider the problem of designing a transportation network to allow the residents of the network to avail service provided by a single facility whose location is predetermined....
CCCG
2003
13 years 6 months ago
2003
We address a question posed by Sibley and Wagon. They proved that rhombic Penrose tilings in the plane can be 3colored, but a key lemma of their proof fails in the natural 3D gene...
CCCG
2003
13 years 6 months ago
2003
We explore an instance of the question of partitioning a polygon into pieces, each of which is as “circular” as possible, in the sense of having an aspect ratio close to
CCCG
2003
13 years 6 months ago
2003
Abstract Steph Durocher∗ and David Kirkpatrick† Department of Computer Science, University of British Columbia Vancouver BC, Canada Given a set of client positions as input, f...
CCCG
2003
13 years 6 months ago
2003
Morphing algorithms aim to construct visually pleasing interpolations (morphs) between 2D or 3D shapes. One of the desirable properties of a morph is avoiding selfintersections of...
CCCG
2003
13 years 6 months ago
2003
We consider the problem of finding the shortest curve in the plane that has unit width. This problem was first posed as the “river shore” puzzle by Ogilvy (1972) and is rela...
CCCG
2003
13 years 6 months ago
2003
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 ...
CCCG
2003
13 years 6 months ago
2003
CCCG
2003
13 years 6 months ago
2003
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,...