CIPA 2003 XIX 11 ' International Symposium, 30 September - 04 October, 2003, Antalya, Turkey 
276 
C k -41.195 mm; 
X h 0.374 mm and Y h 0.057 mm 
A, -3.548E-005 and A 2 2.457E-008 as parameter for 
the radial distortion; 
R 0 15.0 mm 
Figure 1. The Rolleiflex DB44-Metric 
The procedures of the Rollei define the curve of distortion by 
equation 
A,. =A, -R-(r 2 -R 0 2 )+A 2 -R-(r 4 -R*) (1) 
and in this case, R varied between zero and 26mm. The radial 
distortion curve is represented in Figure 2. 
Figure 2. Curve radial distortion 
It’s self-evident as to the value of 26 millimeters of radial 
distance, the radial distortion assumes the value of 156pm same 
at 17pixel. 
The used camera represented a prototype developed from the 
Rollei and therefore comparative calibration has been rerun to 
one. 
The implemented analytical model in the self-calibration 
algorithm depends on the equations of collinearity complete of 
the relative part to the radial distortion. 
f( x ) = X-X 0 +C- 
-(*-*„)• 
fi, • {X -2Ü+fi 2 -(y-T>fi 3 -(Z-Zj 
_fii '(X-X 0 )+r 32 • (E-T„) + r 33 -(Z-Z 0 )_ 
K r r 2 + K 2 -r 4 ] =0 
(2) 
where r 2 = (x - x o ) 2 + (y - y o f (3) 
1.3. Test and result of method 
For the determination of the parameters a polygon has been 
come true test in which they have been executed several 
photographies to several distances of taken, correspondents to 
several scales of photogram. 
Figure 3. The Polygon Test where they are visible the target 
topographical finds by means of total station Leica TCRM1103 
In order to evaluate the overall accuracy of our method, we have 
performed a calibration test using a target white 60 black 
squares on white background, each had a lateral dimension of 
40mm. The vertices oh these squares were employed as control 
point. 
SO 
0 
l -so 
! 
1 -100 
I 
-ISO 
—-— 
N. 
Radial distance (mm) 
Figure 4. Curve obtained of the radial distortion from the 
process of self-calibration 
The result experiences them of the phase test has supplied the 
following values of calibration! 
f(y)= y~y u +c- 
-(y-y 0 Y 
'r 2i .(X-X 0 )+r 22 -(Y-Y 0 )+r 2} -(Z-Zj 
S ir (X-X 0 )+r 33 -(Y-Y 0 )+r u -(Z-Z 0 l 
K r r 2 +K 2 -r 4 ] =0 
C k 41.295 mm; 
X h 0.458 mm and Y h 0.035 mm 
K, -4.2007E-005 and K 2 3.5085E-008 as parameter 
for the radial distortion;