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Necessary and sufficient conditions for a unique solution of plane
motion and structure Xiaoping Hu and
Narendra
Ahuja This paper presents necessary and sufficient
conditions for uniquely determining the motion and structure of a planar
surface from any number of monocular images. The authors first show an
uncertain situation for the two-view plane motion problem in which an
infinite number of solutions may result. Although this situation rarely
occurs in real situations, it does raise visual ambiguities under certain
circumstances, e.g., when some images are observed through a mirror. The
understanding of this situation therefore helps analyze reflected images
which are often seen in daily life. Then, the authors present necessary and
sufficient conditions for a unique solution of plane motion and structure
from any number of views. These algorithm-independent conditions enhance
understanding about the problem of estimating plane motion and structure from
image sequences and may be used to determine the uniqueness of the solution
of the motion and structure of a planar surface. Full Text: PDF (440 KB) |