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Given the operators I have chosen to use in this experiment, selecting data
to test is straightforward. I need data that will result in a model
that requires interpolation and will make differences in frequency content of
various results obvious. Since the regularization operator is a steering operator,
the data can have varying dips. To meet these simple requirements, I chose to
take a 2-D slice from the familiar ``qdome'' model (). The masking operator
contains enough zeros to defeat the inversion operator, making
the regularization operator necessary. Figure shows the data
multiplied by the masking operator () I used for this experiment.
I am displaying it this way to make comparison with the inversion results simpler.
Figure also shows the ``ideal'' model that would be obtained if
was simply an identity operator.
datmod
Figure 1 Left panel is the data weighted by
the masking operator used for the inversion problems, right panel is the
ideal model we get when the masking operator is replaced with an identity
operator.
Next: Results
Up: Constructing an interpolation problem
Previous: The operators
Stanford Exploration Project
11/11/2002