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CCCG
2007
14 years 1 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
14 years 1 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
14 years 1 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
14 years 1 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
14 years 1 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
14 years 1 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
14 years 1 months ago
Open Problems from CCCG 2006
Erik D. Demaine, Joseph O'Rourke
CCCG
2007
14 years 1 months ago
On Rolling Cube Puzzles
We analyze the computational complexity of various rolling cube puzzles.
Kevin Buchin, Maike Buchin, Erik D. Demaine, Marti...
CCCG
2007
14 years 1 months ago
A Lower Bound on the Area of a 3-Coloured Disc Packing
Given a set of unit-discs in the plane with union area A, what fraction of A can be covered by selecting a pairwise disjoint subset of the discs? Rado conjectured
Peter Brass, Ferran Hurtado, Benjamin J. Lafrenier...