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CCCG
2003
13 years 8 months ago
Curves of width one and the river shore problem
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...
Timothy M. Chan, Alexander Golynski, Alejandro L&o...
CCCG
2003
13 years 8 months ago
Shortest Paths in Two Intersecting Pencils of Lines
Suppose one has a line arrangement and one wants to find a shortest path from one point lying on a line of the arrangement to another such point. We look at a special case: the a...
David Hart
CCCG
2003
13 years 8 months ago
Hinged Dissection of Polygons is Hard
We show several natural questions about hinged dissections of polygons to be PSPACE-hard. The most basic of these is: Given a hinged set of pieces and two configurations for them...
Robert A. Hearn, Erik D. Demaine, Greg N. Frederic...
CCCG
2003
13 years 8 months ago
Estimation of the necessary number of points in Riemannian Voronoi
G. Leibon and D. Letscher showed that for general and sufficiently dense point set its Delaunay triangulation and Voronoi diagram in Riemannian manifold exist. They also proposed ...
Kensuke Onishi, Jin-ichi Itoh
CCCG
1998
13 years 8 months ago
Proximity drawings of binary trees in polynomial area
In this paper, we study weak {proximity drawings. All known algorithms that compute (weak) proximity drawings produce representations whose area increases exponentiallywith the nu...
Paolo Penna, Paola Vocca