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CCCG
2008
13 years 10 months ago
Polynomial irreducibility testing through Minkowski summand computation
In this paper, we address the problem of deciding absolute irreducibility of multivariate polynomials. Our work has been motivated by a recent work due to Gao et. al. [1, 2, 3] wh...
Deepanjan Kesh, Shashank K. Mehta
CCCG
2008
13 years 10 months ago
Improved Bounds on the Average Distance to the Fermat-Weber Center of a Convex Object
We show that for any convex object Q in the plane, the average distance between the Fermat-Weber center of Q and the points in Q is at least 4(Q)/25, and at most 2(Q)/(3 3), wher...
A. Karim Abu-Affash, Matthew J. Katz
CCCG
2008
13 years 10 months ago
Minimum blocking sets of circles for a set of lines in the plane
A circle C is occluded by a set of circles C1, . . . , Cn if every line that intersects C also intersects at least one of the Ci, i = 1, . . . , n. In this paper, we focus on dete...
Natasa Jovanovic, Jan H. M. Korst, Augustus J. E. ...
CCCG
2008
13 years 10 months ago
Linear-Size Meshes
Don Sheehy, Gary L. Miller, Todd Phillips
CCCG
2008
13 years 10 months ago
Exact Pareto-Optimal Coordination of Two Translating Polygonal Robots on a Cyclic Roadmap
We consider planning optimal collision-free motions of two polygonal robots under translation. Each robot has a reference point that must lie on a given graph, called a roadmap, w...
Hamid Reza Chitsaz, Steven M. LaValle, Jason M. O'...
CCCG
2008
13 years 10 months ago
A Class of Convex Polyhedra with Few Edge Unfoldings
We construct a sequence of convex polyhedra on n vertices with the property that, as n, the fraction of its edge unfoldings that avoid overlap approaches 0, and so the frac
Alex Benton, Joseph O'Rourke
CCCG
2008
13 years 10 months ago
Application of computational geometry to network p-center location problems
In this paper we showed that a p( 2)-center location problem in general networks can be transformed to the well known Klee's measure problem [5]. This resulted in an improved...
Qiaosheng Shi, Binay K. Bhattacharya
CCCG
2008
13 years 10 months ago
Recognition of Largest Empty Orthoconvex Polygon in a Point Set
An algorithm for computing the maximum area empty isothetic orthoconvex polygon among a set of n points in a rectangular region, is presented. The worst case time and space comple...
Subhas C. Nandy, Krishnendu Mukhopadhyaya, Bhargab...
CCCG
2008
13 years 10 months ago
Smallest enclosing circle centered on a query line segment
Given a set of n points P = {p1, p2, . . . , pn} in the plane, we show how to preprocess P such that for any query line segment L we can report in O(log n) time the smallest enclo...
Prosenjit Bose, Stefan Langerman, Sasanka Roy