RT Journal Article
SR Electronic
T1 The reconstruction of a plane surface from two perspective projections
JF Proceedings of the Royal Society of London. Series B. Biological Sciences
JO Proc R Soc Lond B Biol Sci
FD The Royal Society
SP 399
OP 410
DO 10.1098/rspb.1986.0030
VO 227
IS 1249
A1
YR 1986
UL http://rspb.royalsocietypublishing.org/content/227/1249/399.abstract
AB This paper addresses the mathematical problem of reconstructing a visually textured plane surface from a pair of photographs taken from finitely separated camera positions of unknown relative orientation, lying on the same side or on opposite sides of the visible plane. If the surface lies at infinity, or perpendicularly bisects the line joining the centres of projection O and O', the reconstruction fails; otherwise the two images permit either one or two three-dimensional interpretations, obtainable by diagonalizing a 3 x 3 matrix. If all the visible texture elements lie nearer to one viewpoint than to the other, then there are two interpretations, which coincide if the line OO' is perpendicular to the visible plane. Otherwise, only the veridical interpretation survives. The relevance of these results to human and computer vision is briefly discussed.