The height of the object point or the dimension in the direc-.
tion of the optical axis is given by the following expressions:
For (S, and S) % Bf,f,
LIEN SEE en
1 2. 2-1
and for ($4 & Sy) Bfif,
ne UC. (e
1*4 [554
But for stereopairs (S, and S,) and (S, and Sy) where fi and f,
remain the same, we woüld hava:
Bf :
for (S, & S4) 2-H- = (7)
1
and for (5, &'$S,) Bf
donsi4 Inigoyiqoo 222 (8)
P,
where Py Toy, 7 Y 3
Py iy, =
Parallax in the direction of
the base.
"ues uus a? Naa”
Combining equations (5) to (8), then Z for the whole system
is given by
5 1 1 ud o li.
Z =H + B/4 K- TR + RR K x (9)
2 Ey x4 X3 xs Ro
where ; P, P,
K, = = 1=1,2,3,4, K,_ == andK, = T
i ij" 2 xs 1 25 2
Equation (9) gives the height of the object above the selected
datum. The X and Y coordinates of a point can now be determined
by substituting for Z from equation (9) into equations (1) and
(2) or (3) and (4).
QUADRUSTATIONAL GEOMETRY - GENERAL CASE
l. Determination of exposure station coordinates and angular
orientation.
Considering Fig.5 and assuming that the intersection of all
rays will be at a point P(X ,Y.,2Z ), then the equation of each
ray R. is: p.D.P
i :
x, x e
Y = Yo: + Ai Yn (10)
2, 2s, Bal
or X = S, + Ay Ry (11)
132