The International Archives of the Photogramme try, Remote Sensing and Spatial Information Sciences. Vol. XXXVII. Part B3b. Beijing 2008
detected by using loose thresholds, but gained lots of false
edges caused by interruption and noise, as shown in Figure 6(c).
Using the proposed algorithm, a lot of weak edges of runway
has been detected. Especially when comparing dotted elliptic
area in Figure 6(c) with the area in Figure 6(d), the proposed
algorithm can detect the runway edges which are missed by
Edison algorithm using loose thresholds. But a part of false
edges couldn’t be deleted, such as the dotted rectangular area.
In city-modeling, the roof structure presented in ridges is
important information of building reconstruction. The ridges
belong to the weak edges because of minor intensity difference
around them. The image of second experiment was taken from
residential area, as shown in Figure 7(a). A few ridges could be
detected by Edison using tight thresholds, as shown in Figure
7(b), more ridges could be detected after using loose thresholds,
but some false edges also were detected, as shown in Figure
7(c). Using proposed method, the relative completed ridges has
been detected, and has inhibited the interruption from
surroundings, especially the false edges brought by trees in the
dotted rectangular area, as shown in Figure 7(d). Unfortunately,
some line segments on the road haven’t been removed. It is
because the linear edges in the roads follow the rule of weak
edges.
The experiments compared proposed algorithm with Edison
algorithm using two aerial images of different areas. The first
experiment could certify the ability of detecting weak edges for
less interruption included in the image; while the second
experiment employed an image with more interruption to
certify that it can inhibit false edges. Because tight and loose
thresholds are necessary to the proposed method, so the
procedure of experiment is that: the both tight and loose
thresholds were applied to Edison algorithm respectively, and
two edge detection results were gained at first; then the
proposed algorithm used the both thresholds simultaneously to
detect edge and gained another result; compared the edge
detection results at last. The key parameters in the experiments
are shown in table 1. Where Rank is normalized ranking of
gradient magnitude. The image adopted by the first experiment
is taken from an airport, as Figure 6(a), including airplane,
runway, few buildings and grass. Edison algorithm detected
some edges by using tight thresholds, such as the boundary of
buildings and figure of airplane, but the boundary of runway
was missed, as shown in Figure 6(b). The runway could be
Windo
w size
Hysteresis high threshold
Hysteresis low threshold
Rank
Confidenc
e
decision boundaries
Rank
Confidence
decision
boundaries
Tight threshold
5X5
0.93
0.96
Box
0.99
0.91
Ellipse
Loose
threshold
5X5
0.93
0.93
Box
0.77
0.77
Ellipse
Table 1. The key parameters in the experiments
Results of the first experiment, (a) Input Image, (b) Result of Edison
algorithm with tight thresholds, (c) Result of Edison algorithm with
loose thresholds, (d) Result of the proposed algorithm.