Method for enhancing performance in a system utilizing an array of sensors that sense at least two-dimensions

In a three-dimensional data acquisition system, coordinate transformation and geometric error correction are avoided by representing data in a sensor array coordinate system (i, j, k) rather than a conventional (x, y, z) coordinate system. A preferably point-sized sub-region is defined for each potential region of interest for a virtual input device subject to interaction with a user-controlled object. The (i, j, k) coordinate system used relates to raw data, and correction for several types of geometric error and optical lens error are avoided by determining interaction with such raw coordinate data. As a result, substantial processing overhead may be avoided.