Sciweavers

CCCG
2007
13 years 6 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
CCCG
2007
13 years 6 months ago
A Note on Drawing Direction-constrained Paths in 3D
We study the problem of drawing a graph-theoretic path where each edge is assigned an axis-parallel direction in 3D. Di Battista et al.[3] gives a combinatorial characterization f...
Ethan Kim, Sue Whitesides, Giuseppe Liotta
CCCG
2007
13 years 6 months ago
Fast Computation of Smallest Enclosing Circle with Center on a Query Line Segment
Here we propose an efficient algorithm for computing the smallest enclosing circle whose center is constrained to lie on a query line segment. Our algorithm preprocesses a given s...
Arindam Karmakar, Sasanka Roy, Sandip Das
CCCG
2007
13 years 6 months ago
Hamilton Circuits in Hexagonal Grid Graphs
We look at a variant of the Hamilton circuit problem, where the input is restricted to hexagonal grid graphs. A hexagonal grid graph has a vertex set that is a subset of the grid ...
Kamrul Islam, Henk Meijer, Yurai Núñ...
CCCG
2007
13 years 6 months ago
Approximation Algorithms for the Minimum-Length Corridor and Related Problems
Given a rectangular boundary partitioned into rectangles, the MLC-R problem is to find a Minimum EdgeLength Corridor that visits at least one point from the boundary of every rec...
Arturo Gonzalez-Gutierrez, Teofilo F. Gonzalez
CCCG
2007
13 years 6 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 6 months ago
Straight-line Drawings of Outerplanar Graphs in O(dn log n) Area
We show an algorithm for constructing O(dn log n) area outerplanar straight-line drawings of n-vertex outerplanar graphs with degree d. Also, we settle in the negative a conjectur...
Fabrizio Frati
CCCG
2007
13 years 6 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 6 months ago
Open Problems from CCCG 2006
Erik D. Demaine, Joseph O'Rourke