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» On Approximating the Average Distance Between Points
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ICCV
2009
IEEE
13 years 6 months ago
Local distance functions: A taxonomy, new algorithms, and an evaluation
We present a taxonomy for local distance functions where most existing algorithms can be regarded as approximations of the geodesic distance defined by a metric tensor. We categor...
Deva Ramanan, Simon Baker
DCG
2010
289views more  DCG 2010»
13 years 8 months ago
Algorithms for Approximate Shortest Path Queries on Weighted Polyhedral Surfaces
We consider the well known geometric problem of determining shortest paths between pairs of points on a polyhedral surface P, where P consists of triangular faces with positive we...
Lyudmil Aleksandrov, Hristo Djidjev, Hua Guo, Anil...
WADS
2007
Springer
184views Algorithms» more  WADS 2007»
14 years 2 months ago
A Pseudopolynomial Time O (log n )-Approximation Algorithm for Art Gallery Problems
In this paper, we give a O(log copt)-approximation algorithm for the point guard problem where copt is the optimal number of guards. Our algorithm runs in time polynomial in n, the...
Ajay Deshpande, Taejung Kim, Erik D. Demaine, Sanj...
ICDE
2000
IEEE
168views Database» more  ICDE 2000»
14 years 9 months ago
PAC Nearest Neighbor Queries: Approximate and Controlled Search in High-Dimensional and Metric Spaces
In high-dimensional and complex metric spaces, determining the nearest neighbor (NN) of a query object ? can be a very expensive task, because of the poor partitioning operated by...
Paolo Ciaccia, Marco Patella
INFOCOM
2010
IEEE
13 years 6 months ago
Maintaining Approximate Minimum Steiner Tree and k-center for Mobile Agents in a Sensor Network
Abstract--We study the problem of maintaining group communication between m mobile agents, tracked and helped by n static networked sensors. We develop algorithms to maintain a O(l...
Dengpan Zhou, Jie Gao