A simplified lattice structure of two-dimensional generalized lapped orthogonal transform (2-D GenLOT) for image coding

Abstract

In this paper, we propose a lattice structure of two-dimensional (2-D) linear-phase paraunitary filter banks (LPPUFBs) called as 2-D GenLOT. Muramatsu et al. have proposed a lattice structure of 2-D LPPUFBs conventionally. Our 2-D GenLOTs save design parameters and computational costs compared to the conventional 2-D LPPUFBs. We impose the regularity condition on the proposed FBs for image coding application. The 2-D GenLOTs perform an efficient image coding application.

2-D non-separable integer implementation of paraunitary filter bank based on the quaternionic multiplier block-lifting structure

“…However, multidimensional signals are generally non-separable, and this approach does not exploit their characteristics effectively. 2-D non-separable filter banks (FBs) perform more efficiently for image coding than separable FBs, because non-separable FBs may have better frequency characteristics [6], [7]. Suzuki et al proposed a lattice structure of the 2-D non-separable perfect reconstruction FBs and showed their efficiency for lossy-to-lossless image coding [8].…”