Gardner's approach to constant velocity DMO transforms the nonzero
offset data cube into an output cube with an artificial offset k
and traveltime *t _{1}*.
After NMO and poststack migration an input impulse results in an output
data cube which depicts the corresponding ellipsoidal surface.
The transformation is defined by:

k = ^{2}h-^{2}b,
^{2} |
(1) |

(2) |

(3) |

Equations (1) and (2) define the DMO operator, which in the input data set is a slanting hyperbola, lying in the radial plane. The DMO operation sums along this hyperbola and stores the sum at the hyperbola's vertex. The impulse responses of the DMO process are slanting semicircles.

11/18/1997