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Figure 7. Principal point y, (in pixels).
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Figure 8. Additional parameter XK.
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Figure 9. Additional parameter K>.
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—— AZUL MEDIO AZUL CLARO «—— INFRA ROJO IR. FILTER —— SIN FILTRO ———— VERDE OSCURO
Figure 10. Projection centre X; (m).
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Figure 11. Projection centre Y; (m).
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—— AZUL MEDIO AZUL CLARO ——- INFRA ROJO —IR FILTER—— SIN FILTRO ——- VERDE OSCURC
Figure 12. Projection centre Z; (m).
Fight object points were measured for every image. The
methodology and the environmental and operating conditions
were was always the same. The mean-square error of unit
weight a posteriori of the least-squares adjustments was 1.5-2.7
pixels.
5. DISCUSSION
Data obtained from this study show that the stability of video
cameras is very poor. Whatever parameter is analysed, the
variability of the data is higher than expected.
The nominal principal distance 8 mm, according to the pixel
size should be 1081 pixels, but after the study, the median is
1139.6, the mean 1144.3, and the standard deviation 28.2
pixels. Furthermore, the principal distance is surprisingly
independent of the wavelength (Fig. 5). In fact, in theory, it
should be bigger when the wavelength increases.
Regarding the principal point (Figs. 6 and 7), the relationship
between image space and object space is strong in both
directions. The cross-correlation between x, and X; is —0.72,
and between x, and Z;, 0.70 (because of the terrestrial system);
between y, and Y, is —0.74. The mean x, co-ordinate is
approximately 316.4, i.e. —3.6 pixels from the image centre, and
yo 230.8, 1.e. —9.2 pixels. The standard deviations of both values
are, 0,,=22.1 and o,,-18.4 pixels, respectively.
The strongest correlation between parameters is between the
principal distance f and Z;, offering a value of 0.95. However,
the relationship among f and the radial distortion parameters
(Kı,K,) is very low, 0.27 and —0.48, respectively. Obviously,
the latter parameters are highly correlated, -0.95. The
correlation between additional parameter K, and the principal
point is much stronger than with the parameter K, (1.5-2.1
times).
The two internal parameters Æ, scale factor in y-co-ordinates,
and ó, shear (orthogonality error) between the x- and y- axes,
show different behaviour. The former offers a median value of
0.0027 and a standard deviation of approximately the same
value, 0.0021. The latter gives consistent values, the median
equals 1.02 and the standard deviation is 0.0018, so, the affinity
correction should not be omitted in further studies.
Besides, the external orientation parameters also show
additional fluctuations on their values, though there are not
isotropic. Standard deviations in projection centres range from
0.11 m in Y direction (Fig. 11) and 0.28 m in Z direction (Fig.
12) to 0.77 m in X direction (Fig. 10). Similarly, the standard
deviations in orientation angles fluctuate from 0.5? in y to 1.15*
in o and 1.21* in c.
The problem when using this type of video camera is to know
when your data are suitable or not for your processing.
Obviously, series of the same scene guarantee right values
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