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- Claerbout, J. C., 1985, Imaging the Earth's Interior:
Blackwell Scientific Publications.

- Hale, I. D., 1983, Dip-moveout by Fourier
transform: Ph.D. Thesis, Stanford University.

- Hale, I. D., 1988, Dip-moveout processing:
Course notes from SEG continuing education course, SEG.

- Levin, F. K., 1971,
Apparent velocity from dipping interface reflections:
Geophysics,
**36**, 510-516.

- Popovici, A. M., and Biondi, B., 1989,
Kinematics of prestack partial migration in a variable velocity medium:
SEP -
**61**, 133-147.

- Yilmaz, O., and Claerbout, J. F., 1980,
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- Zhang, L., 1988,
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## APPENDIX A

The Fourier transform of a finite segment
differs only in the amplitude term from the Fourier transform
of an infinitely long segment. This is to be expected since
we actually multiply the infinite segment by a boxcar filter which
in Fourier domain means convolution with a sync function.

A two dimensional function representing a segment of constant amplitude
in (*t*,*y*) space can be described by

where
where *t* and *y* are the coordinates,
*t*_{0} is the intersection point on the *t* axis and
the value *p* is the tangent of the slope.
The function has unitary amplitude
when the argument is zero or *t*=*t*_{0}+*py*.
The 2-D Fourier transform is
and using the well known trigonometric transformations
we obtain
| |
(29) |

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Stanford Exploration Project

11/17/1997