Chien-Ping Lu, Eric Mjolsness
We present a Mean Field Theory method for locating two(cid:173) dimensional objects that have undergone rigid transformations. The resulting algorithm is a form of coarse-to-fine correlation matching. We first consider problems of matching synthetic point data, and derive a point matching objective function. A tractable line segment matching objective function is derived by considering each line segment as a dense collection of points, and approximat(cid:173) ing it by a sum of Gaussians. The algorithm is tested on real images from which line segments are extracted and matched.