Fourier methods are global. That is, the entire dataset must be in hand before processing can begin. Remote errors and truncations can have serious local effects. On the other hand, finite-difference methods are local. Data points are directly related only to their neighbors.
Remote errors propagate slowly.
Some problems of the Fourier domain have just been summarized. The problems of the space domain will be shown in this chapter and chapter . Seismic data processing is a multidimensional task, and the different dimensions are often handled in different ways.