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» Complexity of Some Geometric and Topological Problems
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COMPGEOM
1996
ACM
13 years 11 months ago
Linear Complexity Hexahedral Mesh Generation
We show that any simply connected (but not necessarily convex) polyhedron with an even number of quadrilateral sides can be partitioned into O(n) topological cubes, meeting face t...
David Eppstein
TMC
2008
127views more  TMC 2008»
13 years 7 months ago
Time and Energy Complexity of Distributed Computation of a Class of Functions in Wireless Sensor Networks
We consider a scenario in which a wireless sensor network is formed by randomly deploying n sensors to measure some spatial function over a field, with the objective of computing a...
Nilesh Khude, Anurag Kumar, Aditya Karnik
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 years 20 days ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
ICDE
2002
IEEE
209views Database» more  ICDE 2002»
14 years 8 months ago
Geometric-Similarity Retrieval in Large Image Bases
We propose a novel approach to shape-based image retrieval that builds upon a similarity criterion which is based on the average point set distance. Compared to traditional techni...
Ioannis Fudos, Leonidas Palios, Evaggelia Pitoura
COMPGEOM
2005
ACM
13 years 9 months ago
Stability of persistence diagrams
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...