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107
Voted
CCCG
2008
15 years 1 months ago
Convex Hull of the Union of Convex Objects in the Plane: an Adaptive Analysis
We prove a tight asymptotic bound of ( log(n/)) on the worst case computational complexity of the convex hull of the union of two convex objects of sizes summing to n requiring o...
Jérémy Barbay, Eric Y. Chen
86
Voted
CCCG
2008
15 years 1 months ago
Computational Balloon Twisting: The Theory of Balloon Polyhedra
This paper builds a general mathematical and algorithmic theory for balloon-twisting structures, from balloon animals to balloon polyhedra, by modeling their underlying graphs (ed...
Erik D. Demaine, Martin L. Demaine, Vi Hart
CCCG
2008
15 years 1 months ago
A Distributed Algorithm for Computing Voronoi Diagram in the Unit Disk Graph Model
We study the problem of computing Voronoi diagrams distributedly for a set of nodes of a network modeled as a Unit Disk Graph (UDG). We present an algorithm to solve this problem ...
Yurai Núñez Rodríguez, Henry ...
97
Voted
CCCG
2008
15 years 1 months ago
Data Structures for Range-Aggregate Extent Queries
We consider a generalization of geometric range searching, with the goal of generating an informative "summary" of the objects contained in a query range via the applica...
Ravi Janardan, Prosenjit Gupta, Yokesh Kumar, Mich...
103
Voted
CCCG
2008
15 years 1 months ago
The Steiner Ratio for Obstacle-Avoiding Rectilinear Steiner Trees
We consider the problem of finding a shortest rectilinear Steiner tree for a given set of points in the plane in the presence of rectilinear obstacles that must be avoided. We ext...
Mina Razaghpour, Anna Lubiw
Computational Geometry
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