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By the simultaneous adjustment of two crossing strips
recorded from two different orbits further improvement can
be achieved, especially in the common area covered by both
strips. Intersection angles of ground tracks of two orbits can
range from very small angles at 28.5? northern or southern
latitude up to 57° at the equator. Simulations have been
performed using the three intersection angles 5°, 30° and
35°.
All points located within the first or the last baselength of a
strip are imaged by two sensors only (2-ray points). Within
the overlapping area of two crossing strips the points can be
projected into a maximum of six sensor lines (6-ray points).
Figure 3 shows the different numbers of possible image
rays, contributing to the determination of the corresponding
object point.
NER
E Ces
Fig. 3: Numbers of possible image rays, contributing to the
point determination
3.1.2 Image coordinates of conjugate points and ground
control points (GCP) The digitally recorded MOMS-02
imagery will be available on computer compatible tapes
(CCT) and thus will directly be accessible for the further
digital processing. After radiometric correction a large
number of image coordinates of conjugate points can
automatically be derived by digital image matching
techniques. Involving least squares adjustment a precision
up to 1/10 of the pixel size can be achieved. How far the
three times higher ground resolution of the HR channel
additionally improves the accuracy has still to be
investigated.
The determination of image coordinates of GCP implies the
identification of the points in the image. Up to now this task
must be carried out interactively using e. g. a softcopy
photogrammetric workstation.
For the simulations the image coordinates of 11905 object
points with a constant height of 0.0 m were computed,
assuming a straight forward flight path (¢,=w,=x,=0°). The
points are arranged in a grid within an 36 x 468 km? area.
The distance between two points is chosen to be 9 km
across track and 0.2 km along track. The x-axis of the object
coordinate system is defined parallel to the direction of
flight. All image coordinates were introduced into the
adjustment as uncorrelated observations with equal standard
deviations of 2 um (1/5 pixel size).
3.1.3 Ground control information In principle, ground
control information is necessary to define the datum, i.e. for
positioning, orientation and scale of the photogrammetric
461
model in a selected reference frame, and to improve the
accuracy of the point determination. Due to the low orbital
inclination only regions close to the equator can be imaged
by the MOMS-02 camera. In most of these countries the
number and accuracy of GCP is rather limited.
In the simulations two kinds of control information are
used:
» 4 XYZ GCP, error-free;
» 125 XY GCP and a Digital Terrain Model (DTM) with
standard deviations of 25 m (GCP) and 50 m (DTM),
respectively.
In the first case, the four XYZ GCP are arranged at the
corners of the 3-ray area. Their coordinates are treated as
error-free. By means of measurements with the Global
Positioning System (GPS), that is available all over the
world, it is possible to determine these GCP economically at
an accuracy level of a few centimetres.
In the second case, a lot of XY GCP and a DTM, which
might be derived from existing maps via digitization, are
employed. From topographic maps in the scale of 1:50.000
characteristic points, e. g. cross-roads, can be digitized with
a planimetric accuracy of about 20 to 30 m. The generation
of DTM using contour lines is presented in (Aumann and
Ebner, 1992); from the mentioned topographic maps
1:50.000 a height accuracy of at least 50 m can be achieved.
The mathematical model for using DTM information in a
bundle block adjustment is described in (Ebner and Strunz,
1988).
3.1.4 Observations of the exterior orientation parameters
The derived position and attitude data from navigation
systems and orbit models, mentioned in chapter 2.3, are
introduced with the following standard deviations:
position parameters attitude parameters
» 0 m (error-free) 0 mgrad (error-free)
» 1m 5 mgrad
» 2m 10 mgrad
> © (no observation) œ (no observation)
According to the current knowledge the position data can
be obtained more precisely than the attitude data. For
instance, an attitude accuracy of 5 mgrad is equivalent to a
position accuracy of 25 m considering the orbit height of
296 km. In our case, an accuracy of about 1 to 2 m for the
position and 5 to 10 mgrad for the attitude is expected. In
addition, the two extreme cases - error-free and no
observations - are applied comparatively.
Furthermore, the observed position and attitude data have
low absolute but high relative accuracy with respect to the
reference coordinate system because of unknown systematic
errors, which are modeled by the twelve offset and drift
parameters as described in chapter 2.3.
3.1.5 Distances between the orientation images (DOT)
The suitable DOI has to be adapted to the temporal
variations of the position and attitude of the shuttle. The
aim is to derive such a DOI, that the exterior orientation
parameters are optimally approximated by a mathematical
model, i.e. a 3rd order Lagrange polynomial in this case. It
must be considered that a long distance between the
orientation images leads to interpolation errors and
deteriorates the accuracy. In future, the program CLIC