Two-dimensional orthogonal median filters and applications

Directionally selective median filtering may be accomplished either by passing a data-selecting window over the two-dimensional (2D) data or by pre-aligning the data columns and passing a horizontally-directed median filter over the data. If the data has features which appear as constants along some directional path, these constants may be selectively passed or stopped (filter-subtracted) from the data. Directional selectivity and angular resolution may be designed through the concept of orthogonal 2D median filters. The filters in an orthogonal set have fixed-size sample patterns which are mutually median-exclusive (or have minority common count). Synthetic examples of seismic applications are given and show very positive results.