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# Interpolation with locally stationary PEFs

In this chapter I show how to interpolate seismic data using time
and space domain prediction error filters.
I describe the scale invariant properties of PEFs and describe the first
of two methods for dealing with nonstationarity in the data.
The first method is patching, dividing the data into small regions
where stationarity can be reasonably assumed.
I use patching in a synthetic data example
where data aliasing degrades the results of Radon demultiple.
Interpolating the data dealiases it, and improves the demultiple results.
The interpolation is successful in the sense that it improves the
result, but the accuracy of the interpolation is
less than perfect, especially in areas of complicated moveout,
where the stationarity assumption does not hold.
With that in mind, I broach the second method of dealing with
nonstationarity, a new smoothing-based method, which
is described in detail in the third chapter.

** Next:** Prediction error filters
** Up:** Seismic trace interpolation with
** Previous:** Noisy data and land
Stanford Exploration Project

1/18/2001