To illustrate the applications of the PS-AMO operator,
I will use two problems that are present in 3-D OBS dataset:
First, the irregular acquisition geometry problem.
Irregularly sampled
data degrades the final image with amplitude artifacts and phase
distortions; therefore, I need to map the data to a regular grid.
Second, the high cost of 3-D wave-equation migration; the size of the
3-D prestack data cube is proportional to the cost of wave-equation
migration. To reduce this cost I just need to reduce the
dimensionality of the data space.
To accomplish these two problems, I combine an interpolation operator with
the f-k log-stretch PS-AMO operator in a lest-squares objective
function.