The application of may be summarized as follows:

is a transpose operation to (Claerbout, 1985). In words, the process proceeds as follows:forall slothsmforall offsetsx

The algorithm takes the first trace of the velocity analysis panel, applies corresponding to the first offset and adds the result to the first offset. Then is applied to the same trace for the second offset and the result is added to the second offset, and so on for other offsets. The same process is repeated with the rest of the traces of the velocity analysis panel.

For the operator the process is the same; the only difference is that is replaced by the transpose to the corresponding compressing operation.

1/13/1998