Bas, Hüseyin Gazi 
mxi = B /(xi - Xi2)- (-Xio- mzii * Xii: m xi?) 
mxi 7 Zi/f -l/(xi-xo):(Xu- mxio — Xi: m xii) 
substituting ( xi1 — Xi2)=bi , Xi = xu- bi, xi/bi= Xi / B. and mxi- m xi>= maxi the above equation 
takes the form of 
mxi = Zı /f - {2(X: / B)2- 2(Xi / B) + 1}1/2- mx 
(4) 
my; and mgz; are also obtained in the same manner : 
my; 7 Zi /f (1/2 * 2( Y/B P j12- my 
(S) 
mzi- Z? /(B-f) - N2 - mx 
(6) 
For the central point in the object space, assuming Xi - B/2 and Y; -0 (Marzan, 1976), equations 
(4), (5) and (6) become 
mx 7 1/ V2-(Zi/f)- mx 
(7a) 
myi= 1/ V2-(Zi /f)- my 
(7b) 
ma= V2{-( Zi /f)-( Zi /B) }- ma 
(7c) 
These equations are commonly used for normal case of photogrammetry to express the 
relationship between the accuracy of the object space coordinates given the base, object distance 
and the principals distance and can be found in most textbooks on elementary photogrammetry. 
Substituting (2) into (7) and assuming myj=mx and my;= my and errorless f and B we obtain 
mx = 17 N2- Z-:(1/cos?a) . m 
(8a) 
my- 1/ N2- Z - ((1/cos?p)- (1/coso) * tanp- (sina / cos?a)j: m 
(8b) 
mz - V2 - (22 /B ) + ( 1 / cos?a) - m 
(8c) 
Thus, the accuracies of the object space coordinates are obtained as a function of the basic 
parameters of the system such as object distance, base distance and the error of theodolite circle 
readings. In equations (8) Z represents the object distance. Analizing equations (8), one can note 
the following: 
  
48 International Archives of Photogrammetry and Remote Sensing. Vol. XXXIII, Part B5. Amsterdam 2000. 
Furtl 
inter 
1979 
Mp =2 
(10) 
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