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CCCG
2007
13 years 7 months ago
Generalized Watchman Route Problem with Discrete View Cost
In this paper, we introduce a generalized version of the Watchman Route Problem (WRP) where the objective is to plan a continuous closed route in a polygon (possibly with holes) a...
Pengpeng Wang, Ramesh Krishnamurti, Kamal Gupta
CCCG
2007
13 years 7 months ago
Contraction and Expansion of Convex Sets
Let S be a set system of convex sets in Rd . Helly’s theorem states that if all sets in S have empty intersection, then there is a subset S′ ⊂ S of size d+1 which also has e...
Michael Langberg, Leonard J. Schulman
CCCG
2007
13 years 7 months ago
Covering Points by Isothetic Unit Squares
Given a set P of n points in R2 , we consider two related problems. Firstly, we study the problem of computing two isothetic unit squares which may be either disjoint or intersect...
Priya Ranjan Sinha Mahapatra, Partha P. Goswami, S...
CCCG
2007
13 years 7 months ago
On Bus Graph Realizability
In this paper, we consider the following graph embedding problem: Given a bipartite graph G = (V1, V2; E), where the maximum degree of vertices in V2 is 4, can G be embedded on a t...
Anil Ada, Melanie Coggan, Paul Di Marco, Alain Doy...
CCCG
2001
13 years 6 months ago
Line voronoi diagram based interpolation and application to digital terrain modelling
Local coordinates based on the Voronoi diagram are used in natural neighbour interpolation to quantify the "neighbourliness" of data sites. In an earlier paper, we have ...
Francois Anton, Darka Mioc, Christopher M. Gold