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Implicit extrapolations have several advantages over
explicit methods: they have the potential for unconditional stability,
and shorter filters are required to achieve higher accuracy.
Through the helical coordinate system, I have recast the
2-D deconvolution at the heart of implicit 3-D wavefield
extrapolation, into a one-dimensional problem that can be solved
efficiently by recursion.
I have demonstrated the algorithm by migrating simple constant
velocity synthetic examples with the conventional 45paraxial wave equation.
The extension to lateral velocity variations is discussed in the next
chapter.

** Next:** \begin>tex2html_wrap_inline>$V(x,y,z)$\end>tex2html_wrap_inline>\space and non-stationary inverse
** Up:** Helical factorization of paraxial
** Previous:** Synthetic examples
Stanford Exploration Project

5/27/2001