Two modifications to the conventional procedure of crosscorrelation ar
e described, widely used for establishing the relative alignment; of t
he members of a set of images from which a higher resolution or more i
nterpretable restoration is sought. Both achieve a high and sharp peak
in circumstances where the conventional peak is too ill defined to be
recognizable; neither involves significant additional computation tim
e. The more general method requires rough knowledge of the imaging con
ditions, but a variant applicable to images with axial resolution has
no such requirement. In addition, a least-squares procedure is present
ed for achieving an optimum compromise between many pair-wise displace
ment measurements, preventing the accumulation of alignment errors acr
oss a set of images.