Operator antialiasing

The AMO operator can be steeply dipping, and thus antialiasing is critical to produce high-quality results. To apply antialiasing, we use a simple low-pass filtering of the input trace. The bandwidth of this low-pass filtering varies spatially along the operator and is a function of the local time dips of the operator. The time dips can be computed analytically according to the following equations:

$$\begin{eqnarray} \frac{\partial t_2}{\partial \xi_1}=t_1\frac{\xi_1}{1-{\xi_1}^2... ...frac{\partial t_2}{\partial \xi_2}=t_1\frac{\xi_2}{1-{\xi_2}^2}\;.\end{eqnarray}$$ (8) (9)