France. September 1-3, 2010
In: Paparoditis N., Pierrot-Deseilligny M.. Mallet C.. Tournaire O. (Eds), 1APRS. Vol. XXXVIII. Part ЗА - Saint-Mandé, France. September 1-3. 2010
39
field. 1935: Kockelmann,
ider congested conditions
iss of vehicle's spacing is
tides
(1)
vehicle distance in meter,
the model, function g(v)
.g. g( 100 km/h) = 100 m,
: is the vehicle class, e.g.
can be interpreted in the
formula (1) means for all
b “safe distance = half
already mentioned this
ic. The B value is ranging
skas 2009).
ed as
(2)
on of vehicle class / and
:ion in (2) the weighted
directly related to the
segment and thus the
>n can be derived (see
he proposed method is
ly introduced way of
•e valid: the values are
ipproaching zero due to
hange image. Of course,
icle density d c estimated
used and thus a speed of
imated.
uodel is used: that is a
cular road segment is
peed estimate.
iTS
ie method several flight
»cperimental wide angle
ted on a Do-228 aircraft
)f these experiments is
lite large, the evaluation
s and can therefore be
3.1 DLR 3K camera system
The 3K camera system (“3 Kopf’ = “3 head’’) consists of three
non-metric off-the-shelf cameras (Canon EOS IDs Mark II, 16
MPixel). The cameras are arranged in a mount with one camera
looking in nadir direction and two in oblique sideward
direction, which leads to an increased FOV of max 110°/ 31° in
across track/flight direction. The camera system is coupled to a
GPS/IMU navigation system, which enables the direct geo-
referencing of the 3K optical images. Based on the use of
50 mm Canon lenses, the pixel size at a flight height of 1000 m
above ground is approximately 15 cm and the image swath is
2.8 km. The pixel size increases up to 50 cm and the swath
width up to 8 km for a flight height of 3 km. For more details
see (Kurz 2007).
3.2 Test site and data
The motorway A8 south of Munich is one of the busiest parts of
the German motorway network with an average traffic volume
of around 100.000 vehicles per day. The test site was a 16 km
motorway section between motorway junctions “Hofolding"’
and “Weyam". On 2 nd Sep. 2006. heavy traffic was expected at
this section caused by homebound travellers in the direction of
Munich. Three 3K data takes were acquired between 14:01 and
15:11 from 2000m above ground in three over flights. During
each over flight, 22 image bursts were acquired each containing
four consecutive images. The time difference within these
bursts was 0.7 s, so that each car was monitored at least for
2.1 s. To collect the reference data each lane was manually
processed, that means all vehicles were detected in the images
by visual interpretation and their speeds measured.
3.3 Traffic parameter extraction
Results of traffic parameter extraction on the test site are shown
in Figures 3 and 4. In Figure 3 an overview of results are
presented for the mosaic of five frames: highway section of
approximately 4 km length. We see that the estimated speed
profiles coincide quite well with the reference measurements. In
Figure 4 speed estimation results are presented for each of five
segments separately for more details.
Traffic congestion is defined usually using the average speed or
the traffic density. Unfortunately, there is no unique definition
because of different types of roads (highway, city streets) and
moreover it is usually country dependent. Having the average
vehicle speed for each road segment the congestion detection is
a trivial task and can be performed by a simple threshold. For
example, if the congestion is defined for speed up to 50 km/h
(for highways), then the red coloured areas in Figures 3 and 4
can be interpreted as congested ones.
Quantitative evaluation of speed profiles is presented in
(Palubinskas 2009).
3.4 Discussions
The performance of the proposed method is very dependent on
the good quality of the geo-referencing of overlapping images
and the quality of the road data base.
A priori information concerning vehicle and road parameters
should be adapted very carefully to the regional traffic
conditions.
For the accurate vehicle density estimation the time lag between
the two image acquisitions should be selected according to the
constraints presented in (Palubinskas 2010).
Image based methods (microscopic model) perform normally
better for a higher resolution (less than 30 cm pixel spacing
(Rosenbaum 2008)), thus the aircraft flight height should be
low or equivalently one should take into account the reduced
image swath. It seems that the proposed model based method is
not very sensitive to the resolution because it is working on the
macroscopic model level.
We would like to mention that possible false alarms may occur
during traffic classification due to object shadows on the road
(e.g. tree shadows as can be seen in Figure 4(d)). Because of the
usage of only single images for traffic classification the
following objects: objects (not vehicles) on or over the road
(bridges, signs, constructions) or objects nearby the road (tree
and house shadows on the roads) cannot be surely separated
from vehicles. Further research is needed to incorporate more
information (e.g. GIS, radar sensor data) in this level.
What concents future work further experiments are planned to
test the approach for off-nadir scenes and in the cities during
different environmental conditions.
Another research direction is aiming at deriving other traffic
parameters such as traffic density and traffic flow.
4. CONCLUSIONS
A new traffic classification and model-based congestion
detection approach for image time series acquired by the
airborne optical 3K camera system is introduced. It allows us to
derive one of the main traffic parameters - the average speed -
and the vehicle density as an intermediate product. Other
parameters such as the beginning and end of congestion, length
of congestion and travel times can be derived easily from these
results. The method is based on the vehicle detection on road
segments by change detection of two images with a short time
lag, usage of a priori information and simple traffic models.
Experimental results show the great potential of the proposed
method for the extraction of traffic parameters on highways in
along-track scenes. The estimated speed profiles coincide
qualitatively and quantitatively quite well with the reference
measurements.
5. ACKNOWLEGMENT
The authors would like to thank our colleagues Franz Kurz,
Erich Bogner and Rolf Statter for their efforts in planning the
flight campaign, data acquisition and data processing. Special
thanks to our trainee Mantas Palubinskas for the
implementation and validation of the traffic classification.
6. REFERENCES
Ernst, I., Sujew, S., Thiessenhusen, K.U., Hetscher, M.,
RaBmann, S. and Ruhe, M., 2003. LUMOS - airborne traffic
monitoring system. In: Proceedings of 6th IEEE International
Conference on Intelligent Transportation Systems, Shanghai,
China, 2003.
Greensfield, B.D., 1935. A study of traffic capacity. In:
Highway Research Board Proceedings, vol. 14. 448:477.