Abstract
The author adopts the line connecting the positions of the optical center of the camera when two photographs were taken as X axis and κ1and ψ1 as the orientation elements for the first photograph and κ2, ψ2 and ω2 as those for the second one.
[3] The author discusses several treatments for solving the parallax equation with a numerical example of a simple model. He points out that when the equation is treated by expanding in Maclaurin's series as y2-y1=-x1κ1-x1y1/fφ1+x2κ2+x2y2/fφ2+f (1+y22/f2) ω2, where xi and yi are observed photographic co-ordinates, in order to sum up the successively obtained approximate values with the preceding ones in the course of iteration, it is necessary to take into consideration of a correction δκi=-ωi0Δφi+Δκi/2 (φi02-ωi02+2φiΔφi0), δφi=ωi0Δκ1-1/2 {ωi02Δφi+φi0 (Δκi) 2} and δωi=-φi0Δκi+ωi0/2 { (Δφi) 2- (Δκi) 2+2φi0Δφi) } resulting from the second order terms in 2 the rotation matrix, if the orientation elements are not so small. After all the author presents the observation equation by expanding the rigourous equation U=y (1) -y (2) =0 in Taylor's series around a set of approximate values as follows.
U0+ (∂U/∂κ1) 0Δκ1+ (∂U/∂φ1) 0Δφ1+ (∂U/∂κ2) 0Δκ2+ (∂U/∂φ2) 0Δφ2+ (∂U/∂ω2) 0Δω2=0,
where ∂U/∂κ1=-x (1) cos φ2-f (1+y (1) 2/f2) sin φ1, ∂U/∂φ1=-x (1) y (1) /f, ∂U/∂κ2=x (2) cos φ2 (cos ω2-y (2) /f sin ω2) +f (1+y (2) 2/f2) sin φ2, ∂U/∂φ2=x (2) (sin ω2+y (2) /fcos ω2), ∂U/∂ω2=f (1+y (2) 2/f2) and x (i) and y (i) are rectified co-ordinates of points on the photographs-defined by eqs. (19) . In the last treatment, the results can be algebrically summed up without the consideration of the correction described above, even when the orientation elements are not so small.
