The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. Vol. XXXVII. Part B5. Beijing 2008
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on the local incidence angle. Angles plotted in red may indicate
scan points of less accuracy. It is clearly seen that for large in
cidence angles, the point cloud density decreases. Note that at
larger incident angles (* > 60°), the intensity measurements for
the wooden plate and the test charts are distorted, relative to the
stand-point A intensity measurements (Fig.2(a)). This effect is
due to bigger footprints for high incidence angles.
4.3 Segmentation
Fig.4 depicts the segmentation result for both stand-points. The
room is segmented into eight main segments. As depicted in
Fig.4, at larger incident angles (i > 60°), the wooden plate seg
ments and the lower wall test chart segment are distorted and big
ger, when comparing to the stand-point A segmentation (Fig.2(a)).
This example clearly demonstrates that changing local point qual
ity has immediate effects on post-processing, like in this case seg
mentation.
4.4 Individual point residual of a planar fitting
For each segment, a plane is fitted according to the method de
scribed in Sec.2.6. Fig.5 shows the residual e for each point of
each segment of the point cloud. The points colored in magenta
represent residuals higher than 2 cm. Fig.5 shows the individual
point residual for the stand point A. The estimated planes for
both walls produce very low residuals (< 1 cm). The points on
the floor segment that are situated in high incidence angle areas
produce high residuals. By moving the scanner from the stand
point A to the stand-point B, high incidence angles at the bottom
left comer of segment 1 are avoided. In white, the RMSE per seg
ment is plotted. The differences in RMSE between stand-point A
and B can partially be explained by comparing the different inci
dence angle pattem.for each segment. Note that in the stand-point
B results, a stripe can be observed in segment 1, corresponding
to the 0 = 360° transition of the horizontal scan angle. A
possible explanation for this effect can be found in saturation: in
Fig.2(b), a saturation effect is observed at the near perpendicular
surfaces to the laser beam. The points measured shortly after the
saturation are all affected by a higher residual. This effect can
be explained by an overload of the intensity sensor of the laser
beam.
4.5 Patch point density
In Fig.6, the number of points per patch of 20x20 cm is shown.
In general, the scanner position at the stand-point B results in
a higher point density. For both positions, the point density de
creases rapidly with range and with increasing incidence angle.
This holds especially towards the far sides of the segments.
4.6 Planar patch quality
Each segment is subdivided into small patches of 20 x 20 cm.
From the points in the patch, local planar parameters are deter
mined as described in section 2.7. The quality of the local patch
is evaluated by one number: the standard deviation in the direc
tion perpendicular to the local patch of the center of gravity of
the points belonging to the patch. This standard deviation a m
is determined according to Eq.8. Clearly this standard deviation
reflects both the individual point quality, compare Fig.5, and the
local point density, compare Fig. 6. In Fig.6 the mean of the
patch variances for each of the four largest segments is plotted
in white. On average, the position in the comer (stand-pointS)
results in patches of better quality. The average patch variance
for all patches together equals 0.0023 m for the stand-point A
and 0.0017 m for the stand-point B. This shows that by simply
moving the scanner by two meters, the quality of the point could
can be improved by 25 %.
5 CONCLUSIONS AND FUTURE WORK
It is well-known that the position of the scanner affects the quality
of individual scan points. In this paper, we were able to actually
quantify this effect by introducing a notion of point cloud quality,
that incorporates both the point density and the individual point
quality. It is shown that by moving a scanner by an ample 2 me
ters, the point cloud quality can be improved by 25 %.
In a next step the optimal scanner position could be determined
by using error models from the major error components, like the
scanning geometry, the material properties, the scanner mecha
nism and the environmental conditions. For a complex scene, first
a small resolution sketch scan could be used to determine the op
timal measurement setup. To proceed in this direction a thorough
knowledge of all the error components is preferable, meanwhile
use can be made of well described parameters like the incidence
or the point density.
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