Path planning using optically computed potential fields

Abstract

An algorithm for the optical computation of potential field maps suitable for mobile robot navigation is described, and experimentally produced maps and paths are presented. The parallel analog optical computation uses a two-dimensional spatial light modulator on which an image of the potential field map is generated. Optically calculated fields contain no local minima, tend to produce paths centered in gaps between obstacles, and produce paths which give preference to wide gaps. Calculation of 128*128 pixel fields at a few hertz is possible with current technology, and calculation time vs. map size scales favorably in comparison to digital electronic computation.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>