'HOTOGR AMMETRY
D PHOTOCLINOMETRY
^HOTOGR AMIMETRY
2D PHOTOCL INOMETRY
PHOTOGRAMMETRY
2D PHOTOCL INOMETRY
ige lines
er, the use of patches
in form of spurious
he patch edges. So,
cale topography, the
y from two facts:
across the considered
| in the image data is
s to build the terrain
albedo features are
ige texture). But for
ruled out completely
spreading of fresh
ith varying albedo,
ie illumination, such
e of contrast. Under
1s to be fulfilled.
ous source of error.
verify other model
hotoclinometry, we
ifferent illumination.
> derived topography,
1 the up-and-down
1996
Fig.4a. Region III :terrain models derived from
photogrammetry (top) and 2D photoclinometry (bottom).
sun direction. Indeed, we found evidence for albedo features in
the shaded reliefs, e.g. at the rim of the large crater in Fig.3a.
Second, the surface model used to start the iterations strongly
effects the speed of convergence. Generally, small features
converge before large ones, and the more the starting model is
in accord with the real topography the faster convergence is
reached. The iterations are stopped if the height residuals
decrease below a threshold value. So, if the starting topography
does not match the real topography on a large scale convergence
is reached for small-scale features but not for large ones,
allthough the residuals are small. Since the global shape model
used as the starting surface model differs significantly from the
large scale photogrammetric solution convergence was probably
not reached for the large scale topography. This would explain
why the large scale craters are much deeper in the
photogrammetric models. Strong arguments for this
explaination were obtained in a recent analysis, in which we
used a smooth photogrammetric terrain as the starting model for
photoclinometry. It turned out that the large scale topography
of the starting model remained unchanged, i.e. large craters
were now as deep as in photogrammetry, but the small scale
features that could not be resolved by photogrammetry were
added. This method looks very promissing and will be
discussed in more detail in a forthcoming paper.
12x1000
11
E
5 10 an
2 7 PHOTOGRAMMETRY
— 20 PHOTOCL INOMETRY
9
line I
line II
14x 1000
13
m 12
&
= 11
"m 10 - PHOTOGRAMMETRY
AZ
—— 2D PHOTOCLINOMETRY
I T T T T 1 T T T T I
0 50 100 150 200
sample [pixels]
1
250
Fig.4b. Region III: height profiles along image lines
6. CONCLUSIONS
There are significant differences in the terrain models of Ida
derived from photogrammetry and from two-dimensional
photoclinometry. These differences are due to the limitations of
both methods and can be classified in terms of spatial scale.
The photogrammetrically derived terrain models are expected to
reliably show surface features with scale lengths larger than the
patch size. Smaller-scale topography is not adequately
resolved. Especially, surface features with very high spatial
frequencies such as scarps, may result in topography gaps or
even blunders. In contrast, the two-dimensional
photoclinometric analysis can resolve the small-scale surface
features with a reliability determined by model parameters such
as albedo and photometric function parameters. The large-scale
topography is determined by the large-scale properties of the
starting surface model, that is, with this respect it is reliable
only as the starting model is.
Photogrammetry and two-dimensional photoclinometry in
combination may give us terrain models much improved over
those as of the two models alone.
249
International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B3. Vienna 1996
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