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CCCG
2007
13 years 8 months ago
The Ordinary Line Problem Revisited
Let P be a set of n points in the plane. A connecting line of P is a line that passes through at least two of its points. A connecting line is called ordinary if it is incident on...
Asish Mukhopadhyay, Eugene Greene
CCCG
2007
13 years 8 months ago
Computing Acute and Non-obtuse Triangulations
We propose a method for computing acute (non-obtuse) triangulations. That is, for a given two dimensional domain (a set of points or a planar straight line graph), we compute a tr...
Hale Erten, Alper Üngör
CCCG
2007
13 years 8 months ago
Improved Layouts of the Multigrid Network
In a previous paper, Calamoneri and Massini studied the problem of drawing the multigrid network in “a grid of minimum area”. In this paper we show that we can draw the multig...
Shabnam Aziza, Therese C. Biedl
CCCG
2007
13 years 8 months ago
Medial Axis Approximation of Planar Shapes from Union of Balls: A Simpler and more Robust Algorithm
Given a dense sampling S of the smooth boundary of a planar shape O. We show that the medial axis of the union of Voronoi balls centered at Voronoi vertices inside O has a particu...
Joachim Giesen, Balint Miklos, Mark Pauly
CCCG
2007
13 years 8 months ago
On the Number of Empty Pseudo-Triangles in Point Sets
We analyze the minimum and maximum number of empty pseudo-triangles defined by any planar point set. We consider the cases where the three convex vertices are fixed and where th...
Marc J. van Kreveld, Bettina Speckmann