Full text: XVIIIth Congress (Part B5)

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centroid bias, however the clearly evident signal of the 
distortion variation is the most likely source of the larger 
RMS image error in the near distance network for the 
16mm lens. 
  
  
  
  
  
Lens (mm) 16 20 
Focus (m) 1.0 Infinity| 1.8 Infinity 
Distance (m) 1.1 3.00 1.8 3.00 
Redundancies 6360 8835 | 5490 7785 
RMS error (um) | 0.79 0.30 | 0.29 028 
  
  
Table 2. Results summary for the four networks. 
6. FURTHER ANALYSIS 
The next stage in the data analysis will be the integration 
of the network and straight line data sets. Although an 
iterative solution of network and straight line solutions 
has been employed successfully, a fully integrated 
solution is more efficient (Shortis et al, 1995a). The 
integrated approach should improve the accuracy and 
independence of the calibration parameters to further 
isolate the variation of distortion as a systematic error. 
Initial testing of a combined collinearity and straight line 
solution within a single network adjustment has 
produced encouraging results. The combined far 
distance network for the 20mm lens, comprising 4200 
target and 3000 straight line observations all at a single 
focus distance, realised a slight inflation of the RMS 
image error along with à small but significant 
improvement in the precisions of the distortion 
parameters. The inflation of the RMS image error and 
small improvement in the precisions was expected due to 
the relatively noisy straight line data. The networks will 
be subject to further testing and analysis with re- 
measured straight line data. 
The final stage in the analysis will be the incorporation 
of a number of extended lens models into the combined 
network and straight line solution. Distance 
interpolation, Brown’s formula and the constant factor 
approaches will all be tested using the four networks. In 
each case a substantial reduction in systematic error, and 
therefore a smaller RMS image error, is expected. The 
efficacy of each approach will be compared using 
precision analyses of the network solutions and accuracy 
analyses against the theodolite coordinate data for the 
target array. 
7. CONCLUDING REMARKS 
This paper has reviewed existing algorithms, described 
the experimental design and given preliminary results for 
an investigation into the distortion characteristics of the 
lenses typically used with still video cameras. Whilst the 
539 
data reduction and analysis has not progressed to the 
stage where definite conclusions can be drawn, it is clear 
that significant variation of distortion within the object 
space has been detected. It is expected that an extended 
lens model will be able to eliminate the systematic error 
introduced by the variation of distortion with distance. 
The analysis and modelling of this distortion variation 
will be reported in a future paper. 
8. REFERENCES 
Brown, D. C., 1971. Close-range camera calibration, 
Photogrammetric Engineering, 37 (8) : 855-866. 
Fraser, C. S. and Shortis, M. R., 1992. Variation of 
distortion within the photographic field. 
Photogrammetric Engineering and Remote Sensing, 
58 (6) : 851-855. 
Fraser, C. S. and Shortis, M. R,, 1995. Metric 
exploitation of still video imagery. 
Photogrammetric Record, 15 (85) : 107-122. 
Fryer, J. G. and Brown, D. C., 1986. Lens distortion for 
close-range photogrammetry, Photogrammetric 
Engineering and Remote Sensing, 52 (1) : 51-58. 
Fryer, J. G. and Mason, S. O., 1989. Rapid lens 
calibration of a video camera. Photogrammetric 
Engineering and Remote Sensing, 55 (4) : 437-442. 
Magill, A. A., 1955. Variation in distortion with 
magnification. Journal of Research of the National 
Bureau of Standards, 54 (3) : 153-142. 
Shortis, M. R., Burner, A. W., Snow, W. L., and Goad 
W. K., 1991. Calibration tests of industrial and 
scientific CCD cameras. Invited Paper (Paper 6, 
Volume 1), First Australian Photogrammetric 
Conference, Sydney, Australia, 12 pages. 
Shortis, M. R., Snow, W. L. and Goad, W. K., 1995a. 
Comparative geometric tests of industrial and 
scientific CCD cameras using plumb line and test 
range calibrations. Int. Arch. of Photogrammetry 
and Remote Sensing, 30(5W1) : 53-59. 
Shortis, M. R., Clarke, T.A. and Robson, S., 1995b. 
Practical testing of the precision and accuracy of 
target image centring algorithms. Videometrics IV, 
SPIE Vol. 2598, pp 65-76 
Wiley, A. G. and Wong, K. W., 1995. Geometric 
calibration of zoom lenses for computer vision 
metrology. Photogrammetric Engineering and 
Remote Sensing, 61 (1) : 69-74. 
International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B5. Vienna 1996 
  
 
	        
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