Lattice Structure for a Class of Biorthogonal Filter Banks with Vanishing Moments

This paper studies how vanishing moment, or regularity, of a desired degree can be imposed onto the dyadic-based building blocks of a class of M channel (M ≥ 2) causal biorthogonal filter banks having anti-causal inverses, without necessarily constraining the phase responses of the filters. Structural conditions for regularity are derived in terms of the elements of the dyadic-based building blocks, and regular BOFBs are designed accordingly and evaluated using a transform-based image coder. They are found to provide better objective performance and improved perceptual quality of the decompressed images, with reduced blocking artifacts and better preserved texture details.