The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. Vol. XXXVII. Part B3b. Beijing 2008
facade
5 10 15 20 25 30
index of iteration
5 10 15 20 25 30
index of iteration
sky vegetation
Figure 4: Development of the number of used features c\
(dashed blue line) and the maximum frequency C2 (solid
red line) with respect to the 30 weak classifiers h t .
on features. For window classification, the weak classifier
mainly use the three features /5 (in 28 cases!), /4 and /is-
Although the classification of window panes yields much
better results, the curves of Ci and C2 change very fast, cf.
fig. 5. Nevertheless, the histograms show that only a small
subset of four features is mainly used by the 30 weak clas
sifiers, cf. fig. 6.
window window pane
Figure 5: Development of the number of used features ci
(dashed blue line) and the maximum frequency C2 (solid
red line) with respect to the 30 weak classifiers ht.
5.2 Experiments on segmented data
We determined the stable regions from 82 facade images
from Berlin and Munich, Germany, and Prague, Czech Re
public. We changed the image data that was the basis of the
previous experiments a bit, so we only worked with build
ings of similar scale and with images of these buildings that
have a similar resolution. We extracted over 13 000 stable
regions, and then we repeated the cross validation tests on
five selections of regions. First, we considered all scales,
and then we only considered regions which where stable in
the scale-space layers with scales a = 1,2, 4, 8, respec
tively.
Figure 6: Ffistograms over the features of each weak clas
sifier h t \ /2, /5 and /13 are the most dominant features for
classifying window panes.
regions of the same scale. When choosing regions from all
scales, all weak classifiers choose one of the three features
/1, /2 and /5. Thus, ci < 3Vf, cf. fig. 7. Surprisingly, the
bad classification results of roof regions in scale er = 1 is
also based on stable decisions of the weak classifiers since
only 11 features are used by all weak classifiers, cf. fig. 8.
Table 5: Error rates on automatically segmented regions.
scale
facade
roof
sky
vegetation
all
39.67%
15.88%
44.44%
20.75%
1
35.00%
81.06%
44.81%
33.17%
2
42.94%
28.44%
47.55%
45.27%
4
53.96%
39.76%
50.43%
43.26%
8
44.71%
25.14%
51.71%
58.86%
all scales scale <7 = 1
Figure 7: Development of the number of used features c\
(dashed blue line) and the maximum frequency C2 (solid
red line) with respect to the 30 weak classifiers h t .
6 CONCLUSION AND OUTLOOK
In this paper, we presented a feature selection scheme which
is connected to the classification framework of Adaboost.
We chose very simple weak classifiers which only work on
single features. Thus, we were able to derive information
on the relevance of features for the classification process.
We could show, that the weak classifiers favour the use of
the same features. So, we obtained sets of appropriate fea
tures even for the cases where we did not find good classi
fication results. Therefore, we resume that we should im
prove the classification, e. g. by using more complex weak
classifiers on 2-dimensional feature planes as fd x /J. Ad
ditionally, we should expand the feature space, further fea
tures might by derived from texture.
In the tabs. 5 and 6, we show the results of our classifica
tions. With respect to the experiment on classifying roofs,
we are surprised that the classification of regions over all
scales yields much better results than the classification of
ACKNOWLEDGEMENTS
This work was done within the project eTraining for In
terpreting Images of Man-Made Scenes (eTRIMS), STREP