Ebrahjm, Mostafa Abdel-Bary
have been chosen from the painting shapes. These models have been copied from each quadrant in the enhanced image
and arranged as shown in figure (7).
Upper-left Upper-right
Upper-left Upper-right
Lower-left Lower-right
Lower-left Lower-right
Figure (7) Four quadrant symmetrical shapes samples
4.5 Analysis
Two kinds of results have been obtained, numerical results (3-D co-ordinates) and geometrical results (orthoimage 2D-
co-ordinates). As a general look in the results tabulated in table (1), it is noted that the dome axis co-ordinates is almost
the same between the levels 2 through 9 and changed some thing in the other levels. That means the painting base as a
construction may be warped in these levels which made the center of each circle in its level has a small shift from its
original position.
The standard deviations of the dome axis position are 5.6 mm in X direction and 3.3 mm in Y direction. These standard
deviation considered as a high accuracy. The used points were in a symmetrical system around the dome axis. If the
painting is not accurate, the average of each two symmetrical points will not lies in the dome axis. This means that the
painting is very accurate, so it produce a very accurate position of the dome axis.
The standard deviation of the Z direction is about 3.5 cm. This value may affected by the construction itself and by the
accuracy of the used photogrammetric software. According to Hanke and Ebrahim, 1997, the relative accuracy obtain
from the used photogrammetric software is about 1/3000 by using a non-metric camera. In our case the relative accuracy
is 1/3036 for the dome axis position (X, Y). It is known that in the photogrammetric works, the weakest accuracy come
always in the camera axis direction and this is what we have in Z direction.
Looking in the results of the dome profile, the accuracy is about 3.4 cm for the curve fitting. The painting has a big
influence in this accuracy because the values of the level have been obtained from the painting levels (Y in the formula).
If the painting is not accurate, the levels would not be close to the formula values, taken into consideration that Y values
is in camera direction.
In the geometric comparison, the results shows that the shapes of the painting is almost the same in dimension and
position. This can be noted from the four quadrant of the orthoimage that obtained from the photogrammetric software.
Also, the accuracy of the distances is 3.53 cm and this can be considered as a good accuracy taking into consideration
the painting base construction and the accuracy of the used photogrammetric software.
From Figure (7) we can noted that the symmetrical sample models is very accurate in their shapes and colors. That
means the Islamic art is very accurate even in its fine details.
S. CONCLUSION
International Archives of Photogrammetry and Remote Sensing. Vol. XXXIII, Part B5. Amsterdam 2000. 201