Symmetric and Transitive Registration of Image Sequences
Figure 1
If two points ( and ) in two images
( and ) correspond,
as sketched in (a), then the registration algorithm should associate the two
points regardless of the order of images. This is the symmetry property. Let , , and represent
images of the same deforming object taken at three-time points, and let , , and represent the
location of the same physical point in the three images, as sketched in (b). If
the registration algorithm, when applied to images and , associates points and , and, when applied to images and , associates points and , then it should, when applied to images and , associate points and . This is the transitivity property.
