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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
2003
13 years 8 months ago
On the Number of Pseudo-Triangulations of Certain Point Sets
We pose a monotonicity conjecture on the number of pseudo-triangulations of any planar point set, and check it on two prominent families of point sets, namely the so-called double...
Oswin Aichholzer, David Orden, Francisco Santos, B...
CCCG
2003
13 years 8 months ago
Multidimensional Orthogonal Range Search Using Tries
We present a novel k-dimensional range search algorithm for reporting all k-d rectangles from a set D of size n intersecting a query rectangle. Our algorithm uses 2kd tries to sol...
Lingke Bu, Bradford G. Nickerson
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
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...