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A Wireless Video Sensor Network (WVSN) consists of a set of sensor nodes equipped with miniaturized video cameras. Unlike omni-directional sensors, the sensing region of a video node is limited to the field of view of its camera. Power conservation and coverage is an important issue in such wireless video networks, especially in the context of surveillance applications which is the focus of the article. In this paper, we address the area coverage problem of scheduling the activity of randomly deployed nodes to extend the network lifetime. We present a distributed algorithm for area coverage (no known targets). Moreover, we show that our approach reduces inherent ambiguities when it is necessary. Simulation results are also presented to verify the performance of the proposed approach.