I first expounded the local monoplane concept Claerbout (1992b) in two-dimensions. Here we pursue the three-dimensional aspects of this concept.

LOMOPLAN (LOcal MOno PLane ANnihilator) is a data-adaptive filter that extinguishes a local monoplane, but cannot extinguish a superposition of several planes. We presume an ideal sedimentary model as made of (possibly curved) parallel layers. Because of the superposition principle, data can be a superposition of several plane waves, but the ideal model should consist locally of only a single plane. Thus, LOMOPLAN extinguishes an ideal model, but not typical data. I conceived of LOMOPLAN as the ``ultimate'' optimization criterion for inversion problems in reflection seismology 1992b but it has not yet demonstrated that it can attain that lofty goal. Instead, however, in two dimensions I found it useful in data interpretation and in data quality inspection. In this study, I sought to demonstrate usefulness with 3-D data such as 3-D stacks or migrated volumes, or 2-D prestack data.

11/17/1997