164
3 DIGITAL ELEVATION MODELING
3.1 Automatic parallax measurement
The measurement of differential parallaxes between
the 53 and 29 degree incidence angle images, as
shown in Figure 4, has been achieved through an
iterative procedure leading to a digital parallax
model (DPM) that was transformed subsequently into
a final DEM. Our objective is generation of a DPM
as a complete automated process.
A first correlation on the stereo images
generates an initial DPM file using iterative
matches at multiple spatial resolutions. The
search for homologous points is performed on many
pairs of stereoscopic images, each pair being
obtained by reducing successively the resolution
of the original data. From low to high spatial
resolutions, such an iteration procedure allows
for a high degree of automation by limiting the
correlator's search area. Indeed, the information
obtained at a given level of correlation is used
at the next level as a prediction for the location
of the homologous point, thereby constraining the
correlation by virtue of the successive approach
effect. This way, the risk of correlator
divergence, which would require operator's
intervention, is reduced. The concept of
iteration at multiple resolutions is related to
approaches that take into account the image
context because the global information obtained at
a given iteration acts locally at the next
iteration. At each iteration the parallax value
grid is searched for anomalous values which are
excluded, is interpolated to fill data gaps, and
then is low-pass filtered. The grid step is 4
times larger than the pixel size.
When geometric distortions caused by relief are
important, it is possible to optimize the
correlation success by a process called "stereo
reduction". In this case, the DPM obtained in the
first step correlation process is used to reduce
the stereoscopic effect by resampling one of the
original images into the other image geometry. If
the first parallax model was error free, then the
reference image and the rectified image would be
in registration. In practice some residual
parallax remains and has to be estimated again by
digital correlation. However, this search is
restricted over a smaller area of the image. Thus
the measure of the residual parallax between the
reduced and reference images will refine the
previous measurements to yield a more accurate
DPM.
Parallax measurement was achieved on a 50 metre
grid. Matches at the smaller correlation window
were done on the image intensity values of a 9 by
9 pixel matrix. Correlation success reached
approximately 33% of all the match points.
In the central portion of the image (Figure 5),
automatic correlations were not achieved. A
visual three-dimensional analysis of the stereo
images of Figure 4, explains partly why the
correlation failed in this central portion of the
image. One can notice that the image content
exhibits substantially fewer edges and less
texture detail than elsewhere. Also, the
overlapping image swath is not sufficiently large
to include all sides of this high altitude and
very massive mountain (possibly limiting the
multi-resolution search procedure).
3.2 Modeling of terrain elevations
Parallax measurements were converted to elevation
values using line of sight intersection with
refined shuttle positions as described earlier in
the text. Orthographic SIR-B images were also
generated using the same DEM (see Figure 5).
Contour lines defined at 200 meter intervals were
overlaid onto the orthographic 53° incidence angle
SIR-B image (this image having less planimetrie
errors than the 29° incidence angle one).
Contours appear to match well with terrain
features such as ridges and valleys. Quantitative
evaluation for selected profiles allow for a more
detailed analysis of the quality of the DEM.
Figure 5. Orthographic SIR-B images (29° left, 53°
right) and contour lines at 200 m intervals
overlaid with 53° image.
Figure 6 shows elevation plots for each profile
as obtained from SIR-B data and from digitized
topographic maps. One can notice similarities
between these two sets of curves but also identify
the following differences:
- Even if the average of the RMS errors
represents 105 m (see Table 2) for the 5 profiles,
some portions of those profiles fit better
with the actual terrain data; this is particularly
true for the profile portion 5A for which the RMS
difference is as low as 38 m (relative to an
average difference of 17 m).
- It is noticeable that the left part of the image
provides better elevation data than the right one
(illumination originates from right); limited
overlapping swath can be envisaged as responsible
for such effects.
- The 9 by 9 window size of the image correlator
together with the filtering process reduced the
terrain high frequency component.