Efficient 2-D analysis/synthesis filter banks for directional image component representation
Roberto H. Bamberger, Mark J. T. Smith · 2002
A filter bank for the directional decomposition of images is described. The filter bank represents a union of two powerful image processing tools: directional decomposition and subband decomposition. The directional components correspond to wedge-shaped regions in the frequency spectrum. The filter bank is implemented in a tree structure where each two-band system is maximally decimated and provides either exact or aliasing free reconstruction. The design of the analysis/synthesis filter is such that the filter bank can be implemented in an extremely efficient computational form. The design method described uses conventional 1-D analysis/synthesis filters as prototypes and thereby circumvents designing 2-D filters.>