In: Wagner W., Székely, B. (eds.): ISPRS TC VII Symposium - 100 Years ISPRS, Vienna, Austria, July 5-7, 2010, IAPRS, Yol. XXXVIII, Part 7B
The relation between CDN and at-sensor radiances L
[W/m 2 /sr/pm] is simply
L = CDN/50 ( 2 )
Since at-sensor radiances include all atmospheric effects like the
path radiance and the adjacency effect, the images will suffer
from a blue hue, which increases towards the borders across the
flight direction. Therefore the XPro workflow provides several
options for atmospheric correction. The empirical “Dark Pixel
Subtraction” and “Modified Chavez Method” will produce ap
proximate ground radiances, which are no surface property
because they will still depend on the actual solar illumination.
In order to obtain an image product which is a surface property,
in 2008 the “Atmospheric” option has been included in the
workflow, which simulates the solar illumination and path radi
ance, and then calculates reflectance calibrated digital numbers
(.RCDN) (Beisl, 2008). The relation between RCDN and reflec
tance R is
R = RCDN /\0000 (3)
An additional option is the “BRDF” correction which removes
the cross track gradient caused by the reflectance anisotropy of
ground surfaces. This correction produces homogeneous image
strips calibrated to RCDN.
2.3 Airborne data set
In 2008 the DGPF started a project for the "Evaluation of Digi
tal Camera Systems", which included assessments of the geo
metric and radiometric accuracy performance as well as the
performance in generating digital surface models (DSM) and in
manual stereo plotting. The project was carried out in the con
text of the EUROSDR initiative (Cramer, 2010b). A test site at
Vaihingen/Enz near Stuttgart (48°56’N, 8°58’E) was chosen
and medium format, large format, and hyperspectral cameras
were flown by the manufacturers on several days (Cramer,
2010a). The ADS40 S/N 30120 (SH52 type) was flown on Au
gust 6, 2010 on two flight altitudes and two configurations
(compressed and uncompressed image capture), as given by the
DGPF directions (Table 1).
Line
GSD
[cm]
Start
Time
fUTCl
Flight
Heading
n
Sun
Azimuth
[°l
Sun
Zenith
n
IT
RG
[ms]
IT
BNIR
[ms]
Tilt
config
L6
8
0957
90
141.9
37.3
1.448
1.448
N+Bw
comp
L5
8
1002
270
143.7
36.8
1.452
1.452
N+Bw
comp
L4
8
1007
90
145.7
36.3
1.474
1.474
N+Bw
comp
L3
8
1012
270
147.7
35.8
1.476
1.476
N+Bw
comp
L1
8
1028
270
153.8
34.6
1.408
1.408
N+Bw
comp
L7
8
1035
180
156.6
34.1
1.800
1.800
N
raw
L2
8
1039
270
158.6
33.8
1.432
1.432
N+Bw
comp
L8
8
1046
0
161.3
33.4
1.800
1.800
N
raw
H5
20
1054
180
164.9
33.0
4.158
2.908
N
raw
H6
20
1100
0
167.2
32.8
4.482
2.900
N
raw
H4
20
1202
90
195.1
33.0
4.040
2.790
N+Bw
comp
H3
20
1213
90
200.0
33.6
3.866
3.866
N+Bw
comp
H2
20
1228
90
206.1
34.5
3.590
2.340
N+Bw
comp
H1
20
1240
90
210.8
35.5
3.908
2.658
N+Bw
comp
Table 1. Flight lines (L#, H#), solar angles, integration times
(IT) for the colour bands, viewing directions (N=nadir,
Bw=backward) and compression setting (comp=compressed,
raw=uncompressed) for the Vaihingen/Enz data set.
The flight project contained two different data sets: The first
data set consisted of E-W flight lines at a lower level (800 m
above ground, L#) and a higher level (2000 m, H#), corre
sponding to a ground sampling distance (GSD) of 8 and 20 cm,
respectively. The data was registered in compressed mode and
was used for geometric calibration. The second data set with
N-S flight lines having 8 and 20 cm GSDs was registered in
uncompressed mode, which increased the radiometric resolu
tion, to be most suitable for radiometric validation.
The images, which viewed the radiometric test site (L3, L4, L7,
L8, H2, H3, H5, H6) were processed with XPro 4.3 using stan
dard settings to produce three standard products, namely at-
sensor radiance (ASR), atmospherically corrected reflectances
(ATM), and atmospherically and BRDF corrected reflectances
(ATMBRDF).
2.4 Ground measurements
The radiometric calibration accuracy of airborne sensors is dif
ficult to validate with absolute ground radiance measurements
since cheap fiber spectrometers tend to drift in the NIR and so a
stable absolute calibration for those spectrometers is difficult to
obtain. Furthermore, due to changes in atmospheric transmit
tance the solar irradiance changes rapidly. This means that the
measurements have to be taken at the very time of overflight, so
measurements at different targets cannot be taken with a single
spectrometer. Therefore, reflectance measurements relative to a
white calibration standard (e.g. Spectralon®) are performed,
instead. This requires modelling the solar irradiance either for
calculating the ground radiances from the measured reflectance
data or calculating a reflectance product from the image data.
Since the Leica XPro software provides a reflectance product
when using the correction with “atmospheric” setting, the vali
dation was done by comparing the XPro image reflectances
with measured ground reflectances. This means testing two
calibrations of the ADS sensor simultaneously (absolute radi
ance calibration and reflectance calibration) against the Spec
tralon calibration and spectrometer stability, i.e. possible devia
tions cannot be attributed to a single source. However, it makes
sense to test the reflectance product that is finally used.
The radiometric test site contained tarps in four colours (white,
blue, green, red, provided by RAG Deutsche Steinkohle), 3
Siemens stars for resolution measurements, and a grey wedge
tarp, all provided by the University of Stuttgart. The University
of Stuttgart made ground measurements with a nadir looking
field spectrometer, a camera-based goniometer, and two Sun
photometers (Schonermark, 2010).
The day was not optimal for radiometric tests, since high cirrus
clouds (altitude > 3 km) passed by frequently. Thanks to an
experienced flight crew, the radiometric test site could be im
aged without direct cloud shadows except in line H6. However,
the aerosol optical thickness (AOT) at 534.3 nm calculated from
the Sun photometer data (Figure 1) shows strong haze effects
during the time of ground measurements and flights. The AOT
was varying between 0.4 and 1 for the different flights resulting
in a change of direct solar irradiance by a factor of 1.8. Al
though this is partially compensated by an increase of the dif
fuse irradiance, without atmospheric correction, the overall
image brightness will vary in this order of magnitude. Since
ground reflectance measurements consist of two consecutive
measurements of a target and a reference plate, even a small