On the Geometry of Visual Correspondence

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Date
1998-10-15Author
Fermuller, Cornelia
Aloimonos, Yiannis
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Show full item recordAbstract
(Also cross-refernced as CAR-TR-732)
Image displacement fieldsoptical flow fields, stereo disparity
fields, normal flow fieldsdue to rigid motion possess a global geometric
structure which is independent of the scene in view. Motion vectors of
certain lengths and directions are constraine d to lie on the imaging
surface at particular loci whose location and form depends solely on the
3D motion parameters. If optical flow fields or stereo disparity fields
are considered, then equal vectors are shown to lie on conic sections.
Similarly, for normal motion fields, equal vectors lie within regions
whose boundaries also constitute conics. By studying various properties of
these curves and regions and their relationships, a characterization of
the structure of rigid motion fields is given. The go al of this paper is
to introduce a concept underlying the global structure of image
displacement fields. This concept gives rise to various constraints that
could form the basis of algorithms for the recovery of visual information
from multiple views.