- ...(
*n*) - It is interesting to
note that the interpolation and finite-difference filters developed
by Karrenbach (1995) from a general approach of
self-similar operators reduce to a localized form of Lagrange
polynomials.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

- ...borders
- I provide the elevation image only for reference. It
has not been used in the interpolation experiment.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

- ...correction.
- A similar filter appears in
velocity estimation with the differential semblance method
Symes and Carazzone (1991); Symes (1999).
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

- ...filters
- An
analogous technique applied to the case of wavefield depth
extrapolation with the wave equation would lead to the famous
45-degree implicit finite-difference operator
Claerbout (1985).
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

- ...user-specified
- Developing a method for automatic estimation
of the appropriate tension parameter from the input data is a
challenging open problem. It goes beyond the scope of this work.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

- ...chapter
- To my knowledge, the first derivation of the revised
offset continuation equation was accomplished by Joseph Higginbotham
of Texaco in 1989. Unfortunately, Higginbotham's derivation never
appeared in the open literature.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

- ...easily
- using Mathematica
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

12/28/2000