Technical Report Number
Sensor network presents us many new challenging practical and theoretical problems. This paper is concerned with minimal exposure problem in sensor networks. Exposure, proposed by Megerian and others  as a useful metric to describe the sensor coverage of a path in a sensor ﬁeld, exhibits interesting properties and induces related open problems. In this paper, we present a solution to an open one-sensor exposure problem [2, 3] using variational calculus as our ﬁrst step in further understanding of the exposure problem in multiple sensor scenarios.
Huang, Qingfeng, "Solving an Open Sensor Exposure Problem using Variational Calculus" Report Number: WUCSE-2003-1 (2003). All Computer Science and Engineering Research.