4 2 
  
Transformation Formulas 
[(x’o1)o — (x%01)o] [(Y’o1)ı — (Y°oıhl— [(o1)o— (¥°0)o 1x01) = (39 A 
[C ap 01)117 + [(x"01) ho RAE má 
[(x/o1)o — (x?o1)o] [(x:1) — (x 3S t [o whl 0)o][ (yn) 
Ks oh — (y?o]J? * [(x'o)) — x?uA p 
[(x^01)o — (x?o1)o] [9 01)1 — (2011 1— [0^ 01)o — (y°01)o} [(x” n) 
[ 01): — (y °01)1]* + ((x"01)1 — G9) J? 
= 
"a sin a’oı = 
, , A 0 
V o1c0sa o1 — ! (y wj] 
" . " EM - s 
V osina o = 1 (^) 
  
[x^ 91)o — (x9 01) o] [(x” mh x01 4] 4 [(y” 01)o — ( y ?o0e] [0n -( 
  
  
Von cos ao = a 2 yy] 
LO i — P t ftn h— (x ah? 
zm ws NV ise m + V0 sina” 
| 91 COS O gp ^7 
2 
m 3405 50V a cosa t V^gcosa i 
V"o sin a"9, = 2 
(x^12)o 7 V" sin a"91 [(y?i2)) — (y?01 
[C 1] * V"o: cos o", [(x%12)ı — (x?a)i] * (x) 
(y^12)o 7 V" cos a"oi [(y?12)) — (y°01)a] + V”o1 sin a", [(x°12)1 — (x°01)1] + (5%) 
(x2)o — V" sin a"oi [(y* m — (y?n1] - V" cos a", [(xhiz — (x E (Xu) 
(y'12)o — V" cos a"oi [1231 — (¥%01)1] - V"g sin a",; [(x1 2)ı — — (x°01)1] + (yon 
(x^12)o — V"o sin a"^oi [(y^12): — (y?0)1] + V""o1 cos a”"oi [(x""12)1 — (x*o)i] + (x) 
(»^12)o — V" cos a"; [(y "e — (y? ah] * V"o sin a" [(x iz) -— (x°01)1] t ()*uy 
Where: V'o: V^o — the scale ratio between the Mo and Mi; systems computed 
from the connection point O1? and the connection points 01’ and 01" 
respectively; 
a9 a 01 = the azimuth difference between the Mo and M, Systems 
computed from the connection point 01° and the connection points 0I 
and 01” respectively; 
(x°01)0 (¥%01)0 and (x°or)a (y°or)) = the coordinates of the connection 
point 01° in the Mo and Mi systems respectively etc. 
Fig. 19. Model triangulation principle. The transformations formulas 
permits accurate transfer of scale and azimuth between the models irrespecti 
of the content of details of the stereoscopic models. Even if the common pi 
of the picture is a water surface, complete connection can be obtained 
(4) In each model co-ordinates are measured for base and connection poils 
The points are measured in separate systems for each model. 
(5) The combination of the different model systems into a common systen 
(O-system) is done numerically by simple transformation computations. The scil 
of the O-system is fixed with the aid of bases measured in the field (st fig. 1) 
58 
  
(6) WI 
models 
(7) Sir 
only by 
Jatter ca 
(9) Sin 
points, 0 
the orien 
plotter. ( 
i thus n 
Attem] 
(f. 04). 
5 Gi 
If an a 
of photog 
or polygo 
known ar 
measurem 
tion of the 
With re 
empiricall 
and to co 
angulatior 
of stereo-] 
essentially 
position o 
strip 200° 
The eff 
the Wild 
a constant 
is propaga 
(Alt, IT) € 
03.1 Gri 
The foll 
Grid: W 
Projecto 
Base in 
Distance 
Z in the 
Number 
Number