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ference 
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SYSTEMS. 
ariable. 
rence to 
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the spaoe resection. 
Let I be the position of the taking point of the photcgram, with re 
speot to the systems introduced, for y- 3 , 0 the position for y" 0, P 
the generic position and F the final position for y= 5. We indicate respec 
tively with x,» A x Yo? 203 X» Y, 23 Xl Yu» Zo the respective po 
sitions of the internal reference system of the camera. The axis x ooinci 
des with the axis of the camera defined in the chapter 2. The axis z is in 
the plane X= O. 
Under the hypothesis of uniform motion, the position of I, O, P and 
F are contained in a line parallel to the speed V of the airoraft. Therefo 
re we define the vector S, the displacement vector of the camera per unit 
of soanning angle, or else the displacement of the camera while the scann 
ing device rotates by one radiant. (o) (e) (e) 
With reference to the system X Y 4,9 let X ;'Y ; 2 be the 
coordinates of the point O, and SX: SY, SZm» the components of S. The 
coordinates of any of the perspective centres of the photogram are 
(p) (9) 
X, 5, A n (5, 
(p) © 
t. P) s Y, P. 9 
(p) (9) 
Zn 57 E a a, 
Referring instead to the XYZ system the vector S has only the two 
components S and S , under the hypotheses made, which we briefly indicate 
with S and 5 . We Introduce the angle $ which the component S forms with 
o v o 
the vector S, and we shall haves 
S = 5% 
V 0 gd 
Between S e. ST and S 5 tbere exist the relations 
S 
T e Le ea 
v "21° "o Xm Yr 2 Sr E To 
T 
cosol 
  
With respeot to the system XYZ, the o i e $j any perspective 
centre P of the photogram, deduced from x | Y: *, z( are 
x(P) = x(°) * 8, y ») = 71°), z(») = z(?) + ys ted