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The area tested, measuring approximately 10 m? is the lower right-hand part of the structure. It is reproduced in two
photograms (bottom in figure 2) and, therefore, a single photogrammetric model.
7 DSMs were automatically generated, on a square grid with grid interval 5 cm, changing some matching parameters
each time. To start the matching, the same grid of 334 basic points manually acquired at the digital station in
stereoscopic mode was employed, with grid interval of 50 cm. In order to validate the models generated in this way, a
reference DSM of 8428 points was created using the Digicart 40 analytical plotter, with the same coordinates of the
origin and grid interval 10 cm.
Comparisons were made by subtracting the models generated using StereoView point-by-point from the reference
DSM. The initial tests were carried out by varying the half-width of the search matrix (AX = AY = 7, 9, 11, 15, 21, 31
pixels) and repeating automatic matching, starting with the same basic information (same model, orientations and set of
basic points). The half-width is related to the horizontal and vertical dimension of the search matrix, expressed in
pixels: a value of AX=AY=10 pixels defines an area of size 20x20 pixels on each image. The matrix size, expressed in
the object reference system, can be calculated by multiplying the size of the search window in pixels by 4 mm (pixel
size in the object system).
The results of the comparisons and some statistical parameters for the differences between the model produced by the
analytical plotter (D) and those generated automatically (7+31 spot pixels), are indicated in the following table.
Search DSM percentage frequency of point differences
window size points |Mean|Std. Dev.| Min/max
Image |Object| (n.and |(mm)| (mm) (mm) |-400 + -10|-10 +-5|-5 + -2/-2 + 2/2 + S[S + 10[10 + 200
(pixels)| (cm) |96 Cc20.7) cm cm cm | cm | cm | cm cm
D-7 14 5.6 | 4748 (56) | -23 230 |-3479/1554| 15.50 8.80 | 10.80 |30.00|16.00|10.00| 8.90
D-9 18 7.2 | 4872 (58) | -14 180 |-3479/1738| 11.40 7.50 | 11.80 |36.90|17.70| 8.40 | 6.30
D-11| 22 8.8 | 5015(60) | -14 138 |-2171/1653| 10.60 6.70 | 12.40 |40.40|17.60| 7.50 | 4.80
D-15| 30 12.0 1 5277 (63) ] -11 127 |-2035/1669| 9.50 6.30 | 11.10 |45.40|17.30| 6.60 | 3.80
D-21| 42 16.8 | 5513 (65) | -17 133 ]-2013/1732| 9.50 6.50 | 11.30 |49.00|16.20| 4.40 | 3.10
D-31| 62 24.8 | 5547 (66) | -19 132 |-1095/1622| 12.2 9.3 9.0 |45.90| 14.0 | 4.9 4.7
Table 2 — Assessment of the differences between the reference model generated with the analytical plotter (D) and the
seven surface models (spot size 7+31 pixels) generated by matching procedure: search window size, number and
percentage of points with correlation coefficient 20.7, main statistical parameters, percentage frequency of point
differences.
The point comparison between the DSM created using the Digicart 40 analytical plotter and the DSMs produced
digitally using the StereoView software, allowed the following conclusions to be drawn:
- the table indicates that the percentage of generated points, a function of the matching coefficient value used, is always
lower than 70% and rises in direct proportion to the size of the search window;
- the residuals divided into classes shows that of the various tests carried out, the best solution is that in which the
search window measures 16.8 cm (spot size — 21 pixels). In this solution, the frequency of residuals which belong to the
central class of +2 cm is the highest and the percentage of residuals relative to the extreme value classes is at a
minimum. The solution is worsened by bringing the search window to 24.8 cm (spot size = 31 pixels);
- the statistical parameters for the depth differences, such as standard deviation, reveal that, in contrast to the previous
conclusion, the best solution seems to be that obtained using a 12 cm (spot size = 15 pixels) search window. Said
statistical parameters, calculated on the entire population of depth differences, are not sufficient to validate a DSM,
since this requires a spatial evaluation of their trend on the object to identify local deficiencies on the model. It must be
emphasised that the extreme incorrect values (outliers) have a significant influence on the depth difference statistics.
Therefore, it is sufficient for the stereoscopic model to have occluded or shadow zones to automatically generate points
with large errors.
The tests carried out revealed how the size of the image block, that is to say, the size of the search window, is a
fundamental parameter in the image matching effected with the software.
Further tests, localised in the balcony area and, therefore, with the greatest depth difference (approx. 2.5 m), showed
that the spot size of 21 pixels used was optimum for automatic imaging of the entire facade, both for flat zones and for
zones with sudden depth changes.
The depth difference graphs (figure 3) show that on the flat areas of the object, increasing the search window visibly
increases the points plotted correctly. The “salt and pepper" appearance is reduced, increasing the areas of homogenous
distribution and the solution becomes more stable overall.
International Archives of Photogrammetry and Remote Sensing. Vol. XXXIII, Part B5. Amsterdam 2000. 65