Joint transform correlation with the synthetic estimation filter

The synthetic estimation filter (SEF) combines a set of input images into a much smaller set of filters. Those input images correspond to views of a known object taken with a variety of values of the pose parameter to be estimated. The response of the filter to variations in the pose parameter is tailored so that estimation can be done to a precision considerably finer than the intervals between filters in the pose space. The technique is extended to the joint transform correlator; as a reference, the composite image from which the SEF is conventionally calculated is used. Precautions are necessary for practical reasons. For example, the SEF algorithm may call for negative values in the image, an unrealizable condition with amplitude encoding, whereas with phase-mostly filtering in the SEF, negative image values are easily accommodated.