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Higher dimensionality

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} (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} (26)


Stanford Exploration Project
10/31/1997