ts 
have 
ure- 
res 
at 
in 
and 
ding 
the 
the 
and 
nt 
or 
ne 
tial 
ates 
  
(2) The fact that the coordinates of the points of the model, to be 
triangulated are carried as unknowns in the solution, makes it possible to 
introduce readily any additional existing geometric conditions for any one 
or all of these coordinates, 
IV. THE LEAST SQUARES SOLUTION 
The formulas (12) express the plate coordinates x and y as functions of | 
the orientation elements and the spatial coordinates of the corresponding 
object point. For any one point J photographed at a certain camera station I, 
we may therefore write in general terms, according to formula (3): 
id: S = Fi [ (ejas, K Xo EN (A ,C,X p^ (X +V x? Y Vas Z + V] | 
(14) 
From the Taylor expansion for the right hand side of the equations (14) 
neglecting terms of second and higher order, we obtain the observational 
equations: 
OF) 4 OF) , OF, a» OF, OF, OF, 
TF T (who re gan + I 
OF oF, oF, oF, OF, oF, 
* apt, +E, * sc 4e Ce” ), + (ax + SA + a), - RCM 
(15 
oF, qj oF, a. OF, q oF, OF ) 
y à x*aY c r*x $*). Sem ode 
s Mo US o ul 1, À 
r,t A o * Sc x >). Ware» oY pu), - A 
where 
- Af = x; - f 
Hy d Ay 
„Ab =v? + À 
Vig TH Ms