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Model Regularization 2: Differencing across offset

We can similarly write the model residual corresponding to the model regularization operator which applies a difference with offset to each $\bold m_{i,k}$ at fixed t.  
 \begin{displaymath}
\bold r_m^{[2]}(\tau,x,i) = m_{i,k}(\tau,x) - m_{i,k}(\tau,x+\Delta x).\end{displaymath} (6)
A similar approach is used by Prucha and Biondi (2002) to regularize prestack depth migration in the angle domain.

Stanford Exploration Project
7/8/2003