Antialiasing of Kirchhoff operators by reciprocal parameterization

Conclusions

I have introduced a new method of antialiasing integral operators, modified from Hale's approach to antialiased dip moveout. The method compares favorably with the popular temporal filtering technique. The main advantages are:

1. Accurate handling of variable operator dips.
2. Consequent preservation of the high-frequency part of the data spectrum, leading to a higher resolution.
3. Easy control of operator amplitudes.
4. Easy generalization to 3-D.

The method possesses a sufficient numerical efficiency in practical implementations. Its most appropriate usage is for antialiasing operators with analytically computed summation paths, such as prestack time migration, dip moveout, azimuth moveout, and shot continuation.