Full text: Commissions III (Part 5)

(9) 
A r Sr ( \ I Sr / n H 2 X , N2 ; 
Ar ‘= s (Xl_X ° )+ 8^ (yi “ y » ) + 2 8xï (X ' “ Xo) + 
I 1 S 2 r \2 I r / \ ( \ I 
+ 2 V (y ‘ “ yJ + ^ (X| “ xJ (y,_yJ + - 
A Ss , v , Ss x . 1 8 2 s . . , 
A S| = 8x (Xr " Xo) + Sy (y ‘ “ yJ + I S? (X ‘ “ Xj_ + 
+ 15 (yi_ y » )2 + (xi_ ° (y ‘ - yj+ - 
we can in fact, after determining the ^ X { and Ay. with the (5), go 
by means of the (6) to the known terms A?'; and As ; and arrive 
through the (8), stopped each at the n' term, at the two solving 
systems — each made out of n equation in n unknown quantities — 
generalically expressed by the above mentioned (9), allowing to define 
Sr Sr S 2 r S 2 r S 2 r , Ss Ss S 2 s S 2 s S 2 s 
Sx Sy Sx 2 Sy 2 SxSy 
the 2n coefficients 
, Ss 
and —, 
Sx Sy 
Sx 2 Sy 2 Sx Sy 
After determining the said coefficientes, we immediately find out 
how to search for the values to be given the r and i - parameters to 
be introduced in turn into the final transformation computation which 
is performed with the (3). 
In order of succession, the operations realizing the analytical pro 
cedure in question require a first phase concerning: the determination 
of constants r ol s Qi a and b relating to the intial stereogram; the com 
putation of the X*, Y* coordinates of the known points along the 
strip and in the end stereogram; a comparison of the latter coordinates 
with the known ones X, Y to find out the discrepances XX, Al 7 ; 
the calculation of the increments X r , Xj- relative to the previously 
determined discrepancies and the consequent solution of the two systems 
of equations determining the numerical coefficients of the expres 
sions of r and The process of course ends in the second phase 
realizing the transformation required, once we have interpolated the 
values r { and to be given each point on the basis of the relative 
coordinates x { and y { . 
The above described process was already largely experimented in 
works of the type mentioned, and its appliance appeared useful also 
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