(35) 
(36 
(33) 
en the error 
(3.7) 
(38) 
of quantities 
(39 
the change ol 
iced that itis 
analogous to 
Natalia Moskal 
  
4. MATHEMATICAL MODEL OF ADJUSTMENT IN PHOTOTHEODOLITE SURVEY 
The problem of adjustment of data of phototheodolite survey is another partial case of generalized partial model. 
The latter is based on the following data : photogrammetric surveys (monocular or stereoscopic) of terrestrial 
photograph, photo station coordinates fixed by different means with the special accent on the use of GPS observation, 
slope (Shift) angle of photos, space coordinates of control (correction) points, photography base data, ccorrection 
directions (vertical, horizontal). 
The theory of photogrammetry provides for well-elaborated and described mathematical models, which admit that control 
data are accurately known. Besides it is almost always admitted that elements of the central projection are accurately 
known too, which means that making system gauge for phototheodolite survey is not executed. This is caused by the 
high metrics characteristics of surveying system in general. 
We think that some practical and theoretical interest may be caused by other models for which control data are 
considered to be known with some certain preciseness and some corrections to photogrammetrical and control data are 
found in the process of these data adjustment. 
Under such condition the mathematical model looks as follows: 
e= | -(B6S -CÓóy +DôT) * Yy. weight P, 
Y, = —6 5 +Y s. weight P, 
YT —óy t Y, weight Py 
ve —ÔT +Y y. weight P. (4.1) 
Y.-- BD». *tY, weight P. 
Ys = —BıöS -D ST +Ys ‚ weight Pr 
where 
Y - vector of corrections to measured coordinates of photo stations," -— vector of corrections to measured 
S r 
coordinates of control points, Y - vector of corrections to measured angle elements of exterior orientation, 
y 
Y y. ; Y > Y. Y ’ Ys - correspondingly vectors of measurements: photogrammetrical, coordinates of 
photo stations, angle elements of exterior orientation, control points, basis, correction directions. 
€ - vector of corrections to the measured quantities: OF ,08 ,OW, 0 - vectors of corrections to elements of central 
projection, linear elements of exterior orientation (photo station coordinates), angle elements of exterior orientation. 
space coordinates of the point of the object. 
P, — - weights of corresponding measured quantities. 
In this case it is necessary to explain two last equations out of. [4.1] which are connected with the basis and correction 
directions. 
The length of photography basis and its angle orientation is the function of the left and right centers of photography. 
Therefore this type of equation is always reduced to the model with correction Y , » an absolute term Y , and matrix of 
partial derivatives B, . 
  
International Archives of Photogrammetry and Remote Sensing. Vol. XXXIII, Part B3. Amsterdam 2000. 631