(9) |

Tisserant and Biondi (2003) show that we can make this 3-D correction by re-writing the angle-gather transformation as

(10) |

(11) |

The 3-D decomposition algorithm is based on the following scheme:

- Begin from a 3-D migrated image
*R*(*z*,*h*_{x},*h*_{y},*m*_{x},*m*_{y}).(12) *h*_{x}-*h*_{y}plane(13) - Decompose the image by dip and dip azimuth, or equivalently
by the projections of the normal to the reflection plane on the
Cartesian axes ():
(14) - At every , decompose the image function of
scattering angle
(15)

7/8/2003