The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. Vol. XXXVII. Part Bl. Beijing 2008
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3. CARTOSAT-1 SENSOR
3.1. Pan camera
The pixel size of the images is 2.5m on the ground with 1024
grey levels (10 bits). The time difference between the
acquisition of the stereo images is about 52 seconds. The
spacecraft body is steerable to compensate the earth rotation
effect and to force both Fore and Aft cameras to look at the
same ground strip when operated in stereo mode.
Simultaneous stereo pair acquisitions are of great advantage
since the radiometric parameters of the images will be
identical. The stereo pairs have a swath of 26 km and a fixed
B/H ratio of 0.62. Apart from the stereo mode, the satellite is
also equipped to operate in the wide swath mode. When
operated in this mode the satellite can be manoeuvred such
that image strips will fall side by side so that wider swath
images of 55 km are obtained by the cameras. The spacecraft
also has a facility to provide various pitch-biases to vary the
look angle conditions of the stereo pair. The cameras
specifications are introduced in table 1.
Figure 1. Warsaw test site and GCPs distribution
Focal length (both cameras)
1945 mm
Integration time
0,336 ms
Quantisation
10 bits (1024)
Pixel size
7x7 pm
GIFOV Fore
2.452m (across-track
GIFOV Aft
2.187(across-track)
Table 1. Cartosat-1 camera specifications
image because all along track images are treated as one iconic
image where its coordinates are found if the acquisition time
interval of the corresponding image from the first image is
added (in general case of more than two images) on the
framelet coordinates of each image. In other words, in Kepler
model the transition factor from one image to the next is its
acquisition time interval.
3.2. Metadata file
The metadata file of CARTOSAT which is attached with
each image is in text format and provides basic information
of the imagery. In this file navigation data of the satellite is
not given. Fortunately, the acquisition time interval between
the along track images is measured and included in this file,
which should be known in order to implement the UCL along
track model.
The formulation of the UCL model for the along track motion
of two images case is described by the following equations.
The ground coordinates of the base framelet perspective center
X c (t), Y c (t), Z c (t) of both images as a function of time is defined
as follows:
X e (t) = X 0 +u x -T-
GM-X-T 2
2'(Xg + Y 0 + Z 0 ) 3
4. REFERENCE DATA
The authors take part in the C-SAP as principal investigators
with Test Site 3, which is the UCL test site in Aix-en-
Provence, France. Also, UCL are co-investigators on TS-9 in
Warsaw, Poland. Unfortunately additional GCPs should be
measured in the Aix-en-Provence test site in order to have a
appropriate number of GCPs within the area covered by
Cartosat. On the other hand Mr. Zych (Goesystems Polska)
who is Principal Investigator of TS-9 has provided the study
team with DEMs and with 36 GCPs which are measured in
the field. These GCPs are well distributed on the images. The
area covered and the GCPs are shown on Figure 1.
5. UCL SENSOR MODEL
5.1. UCL Kepler model for along track motion
The along track motion is described by the Kepler equation.
The fundamental point of an along track model is to benefit,
from the same orbit acquisition, in order to orientate
simultaneously all the along track images. The simultaneous
solution extends the narrow field of view of each satellite
Y c (t) = Y 0 +u-T-
GM-Y-T 2
2 .(X 2 0 +Y 0 2 +Z 2 0 Ÿ
(1)
Z c (0 = Z o +u z -t
GM Z„ • z
2 ■ (X 2 + Y 0 + Z 0 y
where
i = t for the first image
r = t + dt for the second image
and
t is the acquisition time a framelet which is defined in terms of
each image coordinates
dt is the time interval between the acquisition of the center
framelet of the images.
(Xo,Y 0 ,Z 0 ) is the position vector of the perspective center of
the center framelet of the first image
(u x ,u y ,u z ) is the velocity vector of the perspective center of the
center framelet of the first image
GM is the Earth gravitational parameter with value of
398600,4415k?« 3 /s 2