Skip to main content
Log in

A new two-dimensional signal decomposition scheme using the extreme-lifting scheme

  • Paper
  • Published:
Journal of Electronics (China)

Abstract

This paper discusses the signal decomposition method using the extreme-lifting scheme and two two-dimensional decomposition schemes: separable one-dimensional scheme and two-dimensional scheme with quincunx sampling. The structure of the relation “∼” between E x and E y of these two schemes is symmetrical and both these two schemes have shortcomings. An unsymmetrical scheme of the extreme-lifting scheme is proposed in this paper, which can be directly used to decompose two-dimensional image and can get better decomposition result than the two schemes with little computation cost.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. F. J. Hampson, J. C. Pesquet, M-band nonlinear subband decompositions with perfect reconstruction, IEEE Trans. on Image Processing, 7(1998), 1547–1560.

    Article  Google Scholar 

  2. B. Pouty, A. Benazza-Benyahia, I. Poliak, J. C. Pesquet, H. Krim, Nonlinear frame-like decompositions, In Signal Processing IX: Theories and Applications, Eusipco, Island of Rhodes, Greece, September 8–11th, 1998, A. Stouraitis, I. Pitas, N. Kaloupsidis, S. Theodoridis, Eds., 1393–1396.

  3. W. Sweldens, The lifting scheme: A new philosophy in biorthogonal wavelet constructions, In Wavelet Applications in Signal and Image Processing III, A. F. Lain and M. Unser, Eds., Proceedings of SPIE, vol.2569, 1995, 68–79.

  4. W. Sweldens, The lifting scheme: A custom-design construction of biorthogonal wavelet, Applied and Computational Harmonic Analysis, 4(1996)1, 186–200.

    Article  Google Scholar 

  5. W. Sweldens, The lifting scheme: A construction of second generation wavelet, SIAM Journal of Mathematical Analysis, 29(1998), 511–546.

    Article  MATH  Google Scholar 

  6. H. J. A. M. Heijmans, J. Goutsias, Multiresolution signal decomposition scheme, Part 2: Morphological wavelets, Technical Report PNA-R9905, CWI, Amesterdam, The Netherlands, June 1999.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Liu, B., Ping, X., Deng, G. et al. A new two-dimensional signal decomposition scheme using the extreme-lifting scheme. J. of Electron.(China) 18, 105–112 (2001). https://doi.org/10.1007/s11767-001-0014-7

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11767-001-0014-7

Key words

Navigation