Reversible non-expansive symmetric convolution for M-channel lifting based linear-phase filter banks
This paper presents an effective signal boundary solution in lossy-to-lossless image coding which is the unification of lossy and lossless image coding. Although M-channel filter banks (FBs) for lossy image coding have several effective signal boundary solutions, M-channel lifting based FBs (L-FBs) for lossless image coding do not have such an effective signal boundary solutions due to rounding error in each lifting step. This paper proposes reversible non-expansive symmetric convolution for M-channel lifting based linear-phase FBs (L-LPFBs) to apply lossy-to-lossless image coding. Our proposal is validated by comparing with the periodic extension in lossy-to-lossless image coding.