Other possibilities can be explored using the mathematical formalism in this paper. It is straightforward to develop a non-linear inverse methodology by using crosscorrelation misfit functions and obtaining its gradient.

It is interesting to note
the analogy of inverting correlograms
with that of constructing holograms.
Light intensity images are used
to reconstruct holograms, which are images of the object
polluted by noisy interference terms. Seismic
correlograms
can also be used to reconstruct images of the
object, but the *other terms* in equation (3)
suggest that the data are
polluted by noisy interference
terms. However, we can design migration operators to
reconstruct the object function (e.g., reflectivity) or information
from the
interference terms (e.g., source locations).
An alternative is to
simultaneously reconstruct both
coherent noise
and signal models with least squares migration
filtering.

9/5/2000