Sensor networks have attracted a lot of notice. Thus environments may consist of many in expensive nodes, each capable of collecting, storing, and processing environmental information, and communicating with neighboring nodes through wireless links. We first study several relevant computational geometric problems. Then, a number of papers aimed at solving the coverage problem in wireless sensor networks are discussed. We will address issues such as surveillance and exposure of sensor networks, coverage and connectivity in network deployment, and coverage- and energy-preserving protocols for sensor networks.