PT - JOURNAL ARTICLE
AU -
TI - The reconstruction of a plane surface from two perspective projections
DP - 1986 May 22
TA - Proceedings of the Royal Society of London. Series B. Biological Sciences
PG - 399--410
VI - 227
IP - 1249
4099 - http://rspb.royalsocietypublishing.org/content/227/1249/399.short
4100 - http://rspb.royalsocietypublishing.org/content/227/1249/399.full
SO - Proc R Soc Lond B Biol Sci1986 May 22; 227
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.