35. Istanbul 2004 
emented for this 
‚given by: 
JG 
E 
given by: 
22 
ta x^ y 
9 
0 (9) 
given by: 
*—2r?/3) 
ers given by: 
,rsin24 (11) 
A us. 
s given by: 
(12) 
4. TEST RESULTS AND COCLUSION REMARKS 
The bundle adjustments for all mathematical models given in 
the preceding section were carried out for 4 convergent 
nhotographs (Figure 8). The stability of the solution of the 
:quations were secured using 19 control points of which 11 
points appeared in all photographs and hence contributed also as 
tie points. These tie points played a decisive rule for 
determination of the self calibration parameters. Figures 9 
shows the average accuracies achieved in control and check 
points for all additional parameters given in the preceding 
section. 
  
  
We 
  
  
e 
  
  
e OR 
ON NN 
   
      
  
uopeiqie2 
  
  
  
| $1 uoi 
g/ umoig 
12 WupreH- t 
Figure 9. The evaluated overall accuracy in control and check 
points for all mathematical models 
5. REFERENCES 
Abdel-Aziz, Y.L, Karara, H.m., 1971. Direct linear transform 
from comparator coordinate into object-space coordinates. In 
ASP Symposium on Close-Range Photogrammetry. Falls 
Church, VA: pp.1-18. American Society of Photogrammetry. 
Brown, D.C, 1976. The bundle adjustment — progress and 
prospects. /nfernational Archives of Photogrammetric and 
Remote Sensing. Vol. XIII, No. 3. Helsinki. 
Ebner, H, 1976. Self calibrating block adjustment. Bildmessung 
und Lufibildwesen, Vol. 4/76. 
El-Hakim, S.F, 1977. Compensation of systematic image error 
using spherical harmonics. ASP Fall 
Technical Meeting, Little Rock. 
International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part B5. Istanbul 2004 
Fraser, C.S., 1984. Network design consideration for non- 
topographic photogrammetry. Photogrammetric Engineering 
and Remote Sensing, 50(8): 1115-1126. 
Mikhail, E.M., Bethel, J.B and McGlone, J.C., 2001. 
Introduction to Modern Photogrammetry. New York: John 
Wiley & Sons, Inc. 
Moniwa, S.F, 1977. Advanced photogrammetric system with 
self-calibration and its applications. Ph.D. Dissertation, 
Department of Surveying Engineering, U.N.B., Fredericton. 
Slama, C.C., Theurer, C. and Henriksen, S.W., 1980. Manual of 
Photogrammetry. American Society of photogrammetry.