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A novel iterative algorithm for the efficient computation of the intersectionareas of an arbitrary number of circles is presented. The algorithm, based on atrellis-structure, hinges on two geometric results which allow theexistence-check and the computation of the area of the intersection regionsgenerated by more than three circles by simple algebraic manipulations of theintersection areas of a smaller number of circles. The presented algorithm is apowerful tool for the performance analysis of wireless networks, and finds manyapplications, ranging from sensor to cellular networks. As an example ofpractical application, an insightful study of the uplink outage probability ofin a wireless network with cooperative access points as a function of thetransmission power and access point density is presented.

An Algorithmic Solution for Computing Circle Intersection Areas and its Applications to Wireless Communications