Touch sensitive screens are used in many applications ranging in size from smartphones and tablets to display walls and collaborative surfaces. In this study, we consider optical touch sensing, a technology best suited for large-scale touch surfaces. Optical touch sensing utilizes cameras and light sources placed along the edge of the display. Within this framework, we first find a sufficient number of cameras necessary for identifying a convex polygon touching the screen, using a continuous light source on the boundary of a circular domain. We then find the number of cameras necessary to distinguish between two circular objects in a circular or rectangular domain. Finally, we use Matlab to simulate the polygonal mesh formed from distributing cameras and light sources on a circular domain. Using this, we compute the number of polygons in the mesh and the maximum polygon area to give us information about the accuracy of the configuration. We close with summary and conclusions, and pointers to possible future research directions.