This document summarizes research on barrier coverage in directional sensor networks. It defines barrier coverage as using sensor networks to detect any intruders attempting to cross a barrier. While most previous work assumed sensors have isotropic sensing, some applications like video cameras use directional sensing. The paper categorizes research on strong vs weak barriers, 1 vs k barriers, worst vs best case coverage, and different types of view coverage. It aims to define the characteristics of directional sensing and classify existing work on barrier coverage problems in these networks.