Rh. Bamberger et Mjt. Smith, A FILTER BANK FOR THE DIRECTIONAL DECOMPOSITION OF IMAGES - THEORY AND DESIGN, IEEE transactions on signal processing, 40(4), 1992, pp. 882-893
This paper introduces a directionally oriented 2-D filter bank with th
e property that the individual channels may be critically sampled with
out loss of information. The passband regions of the component filters
are wedge shaped and thus provide directional information. It is show
n that these filter bank outputs may be maximally decimated to achieve
a minimum sample representation in a way that permits the original si
gnal to be exactly reconstructed. The paper discusses the theory for d
irectional decomposition and the issues associated with maximum decima
tion and reconstruction. In addition, implementation issues are addres
sed where realizations based on both recursive and nonrecursive filter
s are considered.