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2. Parallax
The separation between corresponding points in similar images when super
imposed .
3. Registration
The act of transforming one or both of a pair of similar images so as to
reduce all parallaxes to zero when the images are superimposed.
4. Relative Distortion
A difference in size or shape of similar images such that a transformation
of one or both images is required to achieve registration.
Relative image distortions are familiar in photogrammetric practice. Con
vergent and panoramic photography probably represent the most extreme cases of
such distortions, with convergent-panoramic stereograms being particularly
interesting.
It can be shown that plane projective distortion contains no orders higher
than the second except for the effects of earth curvature and atmospheric re
fraction. Projective distortion as encountered in the keystoning of convergent
stereo photographs contains uniform second-order distortion components over the
entire overlap area. Toward the edges of the field, however, first-order scale
and skew distortions become predominant.
Panoramic photographs taken in their entirety present considerable third
and higher order distortions. Sections of panoramic photographs of a size
likely to be examined at one time, however, show much less higher order dis
tortion, and consequently it is not proposed to consider transformations of
orders higher than the second when dealing with such photography.
Terrain relief also introduces higher order relative distortion between
stereo pairs. Such distortions and displacements are, of course, in the X
direction only and are not subject to systematic transformation by either
optical or electronic means.
5. Manual Registration
Manual registration refers to the visual observation of parallax and the
manual adjustment of the various image transformations as required to reduce
parallaxes to zero.
Manual registration operations are common in photogrammetry as, for exam
ple, in the relative orientation of stereo pairs. Relative orientation in
volves first- and second-order transformations with five degrees of freedom.
When one considers the time and tedium involved in the process of relative
orientation, it is appreciated that a manual registration in which all of the
12 prime transformations are separately subject to control would be, for most
purposes, impractical. Also, the complexity of a mechanical-optical instru
ment providing a separate adjustment for each of the 12 transformations in
volved would, we believe, be equally impractical.