Spatially varying two-dimensional filter banks

In this paper we show how to construct spatially-varying filter bank decompositions. The idea is that we can use different filters over different portions of a two-dimensional signal, or even completely vary the structure of the analysis and synthesis trees. To do so we associate with the filters to be used, a set of boundary filters, which are applied whenever a transition is to be made. These boundary filters allow the change to made without distortion or redundancy.<<ETX>>

[1]  Mark J. T. Smith,et al.  Exact reconstruction techniques for tree-structured subband coders , 1986, IEEE Trans. Acoust. Speech Signal Process..

[2]  Gunnar Karlsson,et al.  Extension of finite length signals for sub-band coding , 1989 .

[3]  Mark J. T. Smith,et al.  Analysis/synthesis techniques for subband image coding , 1990, IEEE Trans. Acoust. Speech Signal Process..

[4]  Jan P. Allebach,et al.  The analysis and design of multidimensional FIR perfect reconstruction filter banks for arbitrary sampling lattices , 1991 .

[5]  R. D. de Queiroz.  Subband processing of finite length signals without border distortions , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[6]  M. Vetterli,et al.  Arbitrary orthogonal tilings of the time-frequency plane , 1992, [1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis.

[7]  Mark J. T. Smith,et al.  Analysis-synthesis systems with time-varying filter bank structures , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[8]  Jelena Kovacevic,et al.  Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for Rn , 1992, IEEE Trans. Inf. Theory.

[9]  R. L. de Queiroz.  Subband processing of finite length signals without border distortions , 1992, ICASSP.

[10]  Kannan Ramchandran,et al.  Tilings of the time-frequency plane: construction of arbitrary orthogonal bases and fast tiling algorithms , 1993, IEEE Trans. Signal Process..

[11]  Martin Vetterli,et al.  Orthogonal time-varying filter banks and wavelets , 1993, 1993 IEEE International Symposium on Circuits and Systems.

[12]  Martin Vetterli,et al.  Orthogonal time-varying filter banks and wavelet packets , 1994, IEEE Trans. Signal Process..