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It is natural to think of a recursive three-dimensional low-pass dip
filter as the functional form
| ![\begin{displaymath}
{\alpha \over \alpha \ +\ { k_x^2 \ +\ k_y^2 \over -\,i\,\omega} }\end{displaymath}](img70.gif) |
(25) |
This, however, leads to an infeasible Crank-Nicolson situation.
Multidimensional low-pass filtering
is
possible with
| ![\begin{displaymath}
\left(
{\alpha_x \over \alpha_x \ +\ { k_x^2 \over -\,i\,\om...
..._y \over \alpha_y \ +\ { k_y^2 \over -\,i\,\omega} } \
\right)\end{displaymath}](img71.gif) |
(26) |
Stanford Exploration Project
10/31/1997