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specific manner (Luhmann & Wendt 20002). The quality of the
photogrammetric system is reflected by the error of length
measurement with respect to the expected accuracy.
For evaluation and comparing purposes a 3-D testfield (Fig. 3)
with a dimension of app. 2m x 2m x 2m (exterior testfield) has
been designed for camera calibration. This test range covers
app. 200 object points. In the centre a second 3-D testfield of
app. 0.8m x 0.8m x 0.8m is placed forming the reference
testfield. The reference field consists of 16 reference points
(Fig. 3) whereof 120 different distances are computable. The
reference points are measured by a coordinate measuring
machine (CMM) by two independent measuring passes. An
absolute deviation of the reference coordinates between the two
passes of one CMM results with maximal 15um. The
eccentricities of the retro-reflective targets to the CMM
measured target axis have been verified. The values do not
effect the photogrammetric adjustment. The systems scale is
based on one scale bar in y-direction. The scale bar has a
verified standard deviation a priori of Sum.
reference testfield
testfield based on guideline VDI/VDE -
2634 with interior reference testfield
principle of
reference points
o [um] | RMSxyz | Relative
CLC | camera | lens Eq. (5) | precision
Fuji 28
1 S1 mm 0.406 0.0543 1:49000 | #
Pro (1)
Fuji 28
2 S1 mm 0.346 0.0389 1:69000 | #
Pro (1)
28
3 DCS | mm 0.352 0.0491 1:55000 | *
460 (1)
DCS 35
4 Pro mm 0.333 0.0337 1:80000 | -
Back
645M
(Hubbs-targets)
Figure 3: Testfields and reference points
Four data sets of different configurations, varying camera
handling and camera-lens-combinations (CLC) (Table 1) are
taken as hand-held shots. With an Fuji S1 Pro and a 28mm lens
two sets of images (CLC1,2) are taken whereby as few as
possible imaging directions (Table 2) are mixed among one
other. Therefore the different camera stations are visited several
times for taking images. These sets of images are taken by
careful camera handling. In contrast a data set with a Kodak
DCS 460 (not stabilised CCD-sensor) and the same 28mm lens
(CLC3) was taken. All necessary images in all imaging
directions are taken at once by careless handling. For comparing
aspects the calibration results of the DCS Pro Back 645M are
added to the analysis (Table 1).
Table 1: Data set overview and adjustment results
# rolling in four directions, care handling, 5mm targets
* rolling in four directions, careless handling, 5mm targets
all investigations on this are legible at Jantos (2002)
0? -90° +90° 180°
Ed
Table 2: Principle of imaging direction
Exposures are taken in four imaging directions with a
proportion of 40:12:12:16 for the directions plotted in Table 2.
The camera stations are chosen around the 3-D testfield with 0.5
to 2m object distance in 3 main height levels (bottom — mid
level — above the testfield).
All image points are measured by ellipse fitting. The accuracy
of the ellipse fitting method yield to 0.39um for CLCI, 0.33pm
for CLC2 and 0.44pm for CLC3 a priori. The average of ellipse
sizes for all data sets results in less than 6 pixel.
3.1 Interior accuracy
The image measurement precision a posteriori lies between 0.3
and 0.4um. The object point accuracy, in this case RMS values,
for X, Y and Z direction for all object points within the
photogrammetric projects (CLCI1-3) yields a mean value of
30um. An average of 20pm could be obtained with the DCS Pro
Back 645M (CLC4). This leads to an object precision RMS xy7,
(5) of 54um up to 34um, the corresponding relative precision
results in 1:49000 — 1:80000 (Table 1).
RMS, = V[RMS(X)F + [RMS(Y)F + [RMS(Z)P (5)
The required relative precision for standard industrial
applications is obtained with these data sets, though they are
borderline cases because of image configuration with almost
exclusively sensor fulfilling exposures and a mean value for
target size of less than 6 pixel. The reference points and scale
points (Hubbs-targets) have a size of 6.35mm. The RMS values
for the reference points are much better as they are in the centre
of the system. A problem constitutes the adjustment of the
reference points in two horizontal levels. Hence, this yields to
almost sloped and small ellipses. However, there was no better
alternative in view of getting the reference coordinates
measured with an independent measuring system with an
appropriate accuracy.
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