Kinematics of the angle-domain transformation

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 are defined by the following change of variable:

$$\begin{eqnarray} \widehat{\gamma} &=& \arctan \left. \frac{\partial z_\xi}{\part... ...\xi}, \\ z_{\tilde{\gamma}} &=& z_\xi-h_\xi \tan \widehat{\gamma},\end{eqnarray}$$ (9) (10)

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

 

• Geometric interpretation
• Relationships between $\widehat{\gamma}$, $\tilde{\gamma}$ and $\gamma$
• RMO in ADCIGs