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CCCG
2003
13 years 7 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...
CAGD
2010
132views more  CAGD 2010»
13 years 2 months ago
Skinning of circles and spheres
Skinning of an ordered set of discrete circles is discussed in this paper. By skinning we mean the geometric construction of two G1 continuous curves touching each of the circles ...
R. Kunkli, M. Hoffmann
IJBC
2002
71views more  IJBC 2002»
13 years 5 months ago
Rotation Sets for orbits of Degree One Circle Maps
Let F be the lifting of a circle map of degree one. In [?] a notion of F-rotation interval of a point x S1 was given. In this paper we define and study a new notion of a rotation ...
Lluís Alsedà, Francesc Mañosa...
CSC
2006
13 years 7 months ago
Minimal Enclosing Circle and Two and Three Point Partition of a Plane
Partitions of a plane, based on two or three of its points, are introduced. The study of these partitions is applied to finding the minimal enclosing circle (MEC) for a set S of n...
Felix Friedman
IJCGA
2002
73views more  IJCGA 2002»
13 years 5 months ago
A Simple Factor-2/3 Approximation Algorithm for Two-Circle Point Labeling
Given a set P of n points in the plane, the two-circle point-labeling problem consists of placing 2n uniform, non-intersecting, maximum-size open circles such that each point touc...
Alexander Wolff, Michael Thon, Yin-Feng Xu