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CCCG
2010
13 years 6 months ago
k-star-shaped polygons
We introduce k-star-shaped polygons, polygons for which there exists at least one point x such that for any point y of the polygon, segment xy crosses the polygon's boundary ...
Jeff Sember, William Evans
CCCG
2010
13 years 6 months ago
Some properties of higher order delaunay and gabriel graphs
We consider two classes of higher order proximity graphs defined on a set of points in the plane, namely, the k-Delaunay graph and the k-Gabriel graph. We give bounds on the follo...
Prosenjit Bose, Sébastien Collette, Ferran ...
CCCG
2010
13 years 6 months ago
I/O-efficient triangular range search and its application
In this paper, we consider a special type of triangular range search for a planar point set S in the I/O-model. Here, two sides of the query triangle are parallel to the coordinat...
Gautam K. Das, Bradford G. Nickerson
CCCG
2010
13 years 6 months ago
Computing the straight skeleton of a monotone polygon in O(n log n) time
The straight skeleton of a simple polygon is defined as the trace of the vertices when the initial polygon is shrunken in self-parallel manner [2]. In this paper, we propose a sim...
Gautam K. Das, Asish Mukhopadhyay, Subhas C. Nandy...
CCCG
2010
13 years 6 months ago
Watchman route in a simple polygon with a rubberband algorithm
So far, the best result in running time for solving the fixed watchman route problem (i.e., shortest path for viewing any point in a simple polygon with given start point) is O(n3...
Fajie Li, Reinhard Klette