'Backscratching' alternative to PRSI pattern recognition

The Backscratching optical correlation algorithm has been proposed for four degree of freedom tracking. In an alternating Cartesian and log-polar implementation, the tracked parameters are scale, rotation, and two-dimenisonal translation. The algorithm has a finite capture radius in the four-dimensional tracking space. The capture radius is dependent on the tracked object, the correlator architecture, and the method of filter computation. Some methods of extending the capture radius are discussed. One is a modification of matched filters, another is a careful consideration of log-polar transform center, and another is an operational method. Some simulations of the filter construction method, in which a larger capture radius is gained at the expense of precision in determining the four parameters are presented.