CIPA 2003 XIX th International Symposium, 30 September - 04 October, 2003, Antalya, Turkey
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convergence.
These results suggest that the software could identify
homologous points with large or moderate convergence angles
but it is designed to use the smallest disposable angles in
relation to the design of the network. This effect may be caused
by the less good result obtained when a larger convergence
angle is used (see 4.3.1). These results may be due to the
different overlapping of the correlation windows on images
taken with different angles of incidence. It ought to be
considered that in this case the homologous points should be
identified based on the textures of the façade. Other studies
attempt to resolve these limitations through marking the object
with a great number of signals (Edmundson & Baker, 2001).
This strategy, in addition to being very laborious, cannot be
applied to historic monuments.
4.3 DSM Precision
110 DSMs have been constructed (55 DSMs with each type of
photographic film). These DSMs present different precisions
according to some variables that have influence on the process.
Experiments have been performed in order to check the effect
of these variables and select the best possible combination to
generate a DSM of greater precision. The variables analysed are
the following:
4.3.1 Convergence angle. The precision of the DSM is
conditioned by the convergence angle of the two images that
make up the stereoscopic pair. In Figure 6 a collection of
experiments is represented where it is proven that the error
increases significantly with that angle:
Convergence angle
Figure 6. Relation between the convergence angle and the
precision of the DSM expressed as RMSE in meters.
These results indicate the bad behaviour of the application even
in moderately convergent exposures. This is in apparent
contradiction with Wang’s work (Erdas web page) where it is
proven that the turns and distortions are not obstacles for a
correct matching among the images. It also contradicts the
theory of the convergent network configuration, whose
optimum geometry is configured with angles from 60° to 90°
(Mason, 1994). It is, however, in agreement with the results
commented in section 4.2 where the recognition of homologous
points is preferably achieved in neighbouring images with a
convergence angle of 5°.
4.3.2 Size of the search windows and correlation. Tests
have been accomplished to demonstrate that the size of the
search window influences the number of points of the DSM.
Different analyses were carried out fixing the coefficient values
of the threshold correlation (0.85) and the correlation window
(7x7) but varying the size of the search window. The results
demonstrate that the tie point number increases and the
adjustment error descend if the search window is reduced.
4.3.3 Elimination of gross errors. There are two types of
gross errors. The first one is due to errors in the identification of
homologous points and is usual in any photogrammetric
process. In our case, there is a second type of error derived from
the existence of hidden areas in some of the images of the pair.
The first type of error was reduced by examining the
improvement in the precision of the DSM when the check
points with the greater errors were eliminated.
When the improvement curve reaches an inflection point the
DSM is considered to be purged of large errors. The highest
value (0.122 m) corresponds to the whole sample. By
eliminating the greatest error point, the RMSE descends to
0.105 m. The purging of gross errors finalized when the 5
points with the greatest errors are eliminated. At this point, the
curve shows an inflection and the error slope is shallow. The
values of the confidence interval were estimated according to
the formula proposed by Li (1991). Figure 7 shows an example
in which the RMSE value is related to the check points.
Figure 7. Improvement of the precision of the DSM with the
elimination of the check points with the greater errors. The
vertical strokes show the value of the confidence interval at
the 95%.
The second kind of errors, derived from false correlations of
hidden points, were eliminated using geometric criteria since it
was already calculated which parts of the façade would be
visible or not for each stereoscope pair.
4.3.4 DSM errors. Selecting the best values for the search
and correlation windows and by eliminating gross errors, the
DSMs are constructed for each pair of stereoscopes with a 5°
convergence and for each type of film, which may influence in
the contrast curves and grain size characteristic of each brand.
The results demonstrate that the average RMSE value with
Technical Pan (Kodak, 25° ASA) is slightly better than with
Agfapan APX 100; the DSM present better precision values in
seven out nine cases analysed. The results are shown in Tablel.
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