Discontinuity in the solution

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Discontinuity in the solution

The viewing angle (23 degrees off vertical) in Figure

might be such that the mountain blocks some of the landscape behind it. This leads to the interesting possibility that the phase function must have a discontinuity where our viewing angle jumps over the hidden terrain. It will be interesting to discover whether we can estimate functions with such discontinuities. I am not certain that the Vesuvius data really has such a shadow zone, so I prepared the synthetic data in Figure

, which is noise free and definitely has one.

We notice the polarity of the synthetic data in is opposite that of the Vesuvius data. This means that the radar altitude of Vesuvius is not measured from sea level but from the satellite level.
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synmod90
Figure 6 Synthetic mountain with hidden backside. For your estimation enjoyment.

Next: Fourier solution Up: VESUVIUS PHASE UNWRAPPING Previous: Estimating the inverse gradient

Stanford Exploration Project
4/27/2004