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CCCG
2010
14 years 29 days 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
14 years 29 days 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
14 years 29 days 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
14 years 29 days 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
14 years 29 days 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