Computation of ADCIGs

In 2-D, ADCIGs are computed by applying a slant-stack decomposition to the prestack image along the subsurface-offset axis at a constant midpoint. The kinematics of the transformation to the angle domain are defined by the following change of variable:

$$\begin{eqnarray} \widehat{\gamma} &=& \arctan \left. \frac{\partial z_\xi}{\part... ...i}, \\ z_{\widehat{\gamma}} &=& z_\xi-h_\xi \tan \widehat{\gamma},\end{eqnarray}$$ (1) (2)

where $\widehat{\gamma}$ is the depth of the image point after the transformation.