With simulations, the interferometric geometry
being known, we can generate interferograms for
different constant elevations. Figure 14 shows a
profile of the interferometric geometry. The fringe
lines are the intersections of the terrain with
surfaces of constant distance differences that are
multiple of the wavelength (hyperbolic profiles) for
the satellites positions. Getting a control point or
some information about the height of one point in
the interferogram is equivalent to defining which
fringe line will be the reference one. After
unwrapping it is obvious to get directly the absolute
height of each point since we just have to intersect
the initial interferogram with the set of constant
height interferograms. For a given point only one
constant height interferogram presents the same
phase value than the initial interferogram. This
gives the height for this point.
Sref Fringe lines
Z = Cste
Hyperbole
fig. 14: Interferometric altimetry restitution
This method is computationally intensive but is
very easy to set up to get coarse absolute height
information for these simulated interferograms.
With real interferograms we need to have a precise
orbitography for both satellite positions. Figure 15
presents a coarse partial result for which we have
computed constant elevation interferograms every
100 meters. To get a dense DEM we affected
several phase values for each level in order to get
almost a full partition of the elevation range.
fig. 15: Coarse altimetry restitution with 100
meters slicing
Compared with the initial SPOT DEM this coarse
altimetry restitution is within 50 meters accuracy.
3. EVALUATION
To evaluate and compare DEM generated by
interferometry we use SPOT stereogrammetry.
Under a contract with C.N.E.S. we worked on a
couple of SIR-B images taken over northern
Canada. After phase-free preprocessing to obtain
90
complex slant range imagery from which
deformations images were deduced, interferogram
has been produced at C.N.E.S. (MASSONNET,
1991). Figures 16 and 17 represent the module of
the interferometric image in the reference
geometry and the generated interferogram.
fig. 16: Module image for reference SIR-B scene
This particular interferometric data set was
obtained with crossed orbits (GABRIEL, 1988) and
preprocessing of the interferogram was performed
at C.N.E.S. to reduce unwrapping ambiguities. The
specificity of these data along with inaccurate
informations about the shuttle orbits, encouraged
us to simply address the unwrapping problem
without trying to restitute the absolute altimetry of
the scene. This could be done by adding to the
unwrapped phases the phases laws removed by
the preprocessing (MASSONNET, 1991) and by
obtaining the absolute height from the orbit
characteristics of the shuttle. Nevertheless without
these informations we can still try to evaluate
qualitatively the unwrapped phases: the
transformation of these phases to be left to obtain
DEM being locally linear transformations.
With the region method described previously we
partially unwrap the initial interferogram to get the
result presented figure 18.
fig. 17: Phase interferogram image
Although this unwrapped result does not
correspond to a digital elevation model it contains
all the potential relative accuracy of this
interferometric data set. We can then compare its
relative altimetry values with a reference DEM and
In particular a SPOT DEM (figure 19). Since the
interferometric product is still in radar slant range.
geometry, we have to set up the same geometry for