Full text: Precision and speed in close range photogrammetry (Part 1)

  
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 
  
 
	        
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