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]uenced by
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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.
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