5.3 Parallax Measurements
How well can the parallax difference be measured?
Experiments with visual repeat measurements provide
confidence that an operator can define the stereo matches to
within +0.6 pixels. Automated matching may differ from
visual observations with an r.m.s. error of +2 pixels (Leberl et
al., submitted).
5.4 Future Work
Hopes to quantitively assess Magellan-stereo accuracies are
based on the analysis of internal mismatches in overlapping
stereo-models at higher latitudes, on assessing elevation
differences from stereo and from exploiting symmetric features
in single images (Leberl et al., 1991).
5.5 Vertical Exaggeration
The parallax-to-height conversion in photogrammetry typically
is by a factor of about 0.6 (the so-called base-to-height ratio).
Therefore a 100 m photographic parallax will be caused by a
167 m terrain elevation difference.
In Magellan's radar stereo images, this is a ratio of 1.4 or more:
a 100 m parallax will be caused by only a 60 m elevation
difference. Therefore we find that Magellan stereo images can
have very large stereo parallaxes. An error of parallax of 1
pixel will result in an error of elevation of only 0.6 pixels. As a
result we have a surprisingly strong vertical expression in
Magellan SAR stereo data, which is stronger than conventional
mapping photography could produce!
6. CONCLUSION, OUTLOOK
Magellan has created the largest stereo radar data set ever. The
vertical expression of relief in these stereo-models is stronger
than it would be in mapping photography, and stronger than in
past air or spacecraft stereo radar on Earth.
We are developing tools to process these data with rigorous
radargrammetric methods based on state and velocity vectors
of the spacecraft and a sensor model of the SAR. In the interim
demonstration products are being generated with simplified
algorithms to review the capabilities of Magellan as a stereo
mapping system. We believe that accuracies of parallax
measurement are about +1 to +2 pixels, and accuracy of
terrain elevation can be in the range of +100 m.
ACKNOWLEDGMENT
Many people participate in a complex space mission, and some
of them had to make an extra effort to provide experimental
data. We are particularly grateful to Graig Leff at JPL for
tracking down specific data. George Arnold was helpful in
getting stereo measurements done, and Matt Jackson kept the
stereo viewing software running smoothly.
RADARGRAMMETRIC PUBLICATIONS ABOUT
MAGELLAN
Leberl, F., K. Maurice, J. Thomas, M. Millot, (Submitted),
Automated Radar Image Matching Experiment. ISPRS J. of
Photogrammetry and Remote Sensing.
Leberl, F., K. Maurice, J. Thomas, W. Kober (1991)
Radargrammetric Measurements from the Initial Magellan
Coverage of Planet Venus. Photogrammetric Engineering and
Remote Sensing, Vol. 57, No. 12, pp. 1561-1570.
Leberl, F., K. Maurice, J. Thomas, C. Leff, S. Wall (in print),
Images and Topographic Relief at the North Pole of Venus. J.
Geophysical Research.
Leberl, F. W., J. K. Thomas, K. E. Maurice (in print), Initial
Results From the Magellan Stereo-Experiment. J. Geophysical
Research.
Leberl, F. W., K. E. Maurice, J. K. Thomas (1992)
Radargrammetric Analysis With Magellan Data of Planet
Venus. Proc. 58th Annual Convention, American Society of
Photogrammetry and Remote Sensing Conference,
Albuquerque, NM, pp. 253-263.
Thomas, J., W. Kober, F. Leberl (1991) Multiple Image SAR
Shape-from-Shading. Photogrammetric Engineering and
Remote Sensing, Vol. 57, No. 1, pp. 51-59.
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