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Switching between 2-D filter banks is important in constructing 2-D adaptive transforms, and lifting factorization has been at the heart of many successful 2-D adaptive transforms. However, switching between filter banks with arbitrary number of lifting steps will induce transients in the transition region between the filter banks. In this paper, we derive conditions on lifting steps of a 2-D two-channel...
Spatial adaptation of filter banks (FBs) is useful for non-stationary signals/images. Lifting structure for FBs results in structural perfect reconstruction (PR) at the transition region, allowing to spatially adapt between arbitrary FBs, avoiding the need to design border FBs. Though lifting based spatial adaptation of FBs gives PR, it induces spurious transients in the resulting subbands around...
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