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An approximation algorithm for the least overlapping p-Frame problem with non-partial coverage for networked robotic cameras

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4 Author(s)
Yiliang Xu ; Comput. Sci. Dept., Texas A&M Univ., College Station, TX ; Dezhen Song ; Jingang Yi ; van der Stappen, A.F.

We report our algorithmic development of the p-frame problem that addresses the need of coordinating a set of p networked robotic pan-tilt-zoom cameras for n, (n > p), competing polygonal requests. We assume that the p frames have almost no overlap on the coverage between frames and a request is satisfied only if it is fully covered. We then propose a Resolution Ratio with Non-Partial Coverage (RRNPC) metric to quantify the satisfaction level for a given request with respect to a set of p candidate frames. We propose a lattice-based approximation algorithm to search for the solution that maximizes the overall satisfaction. The algorithm builds on an induction-like approach that finds the relationship between the solution to the (p - 1)-frame problem and the solution to the p-frame problem. For a given approximation bound isin, the algorithm runs in O(n/isin3 +p2/isin6) time. We have implemented the algorithm and experimental results are consistent with our complexity analysis.

Published in:

Robotics and Automation, 2008. ICRA 2008. IEEE International Conference on

Date of Conference:

19-23 May 2008

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