Skip to main content
Springer Nature Link
Log in

A Lifting Scheme of Symmetric-antisymmetric Multiwavelet Transform for Image Coding

  • Short Paper
  • Published:
Circuits, Systems, and Signal Processing Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

A symmetric-antisymmetric (SA) multiwavelet lifting factorization of matrix filter banks is presented as an extension of Sweldens’ traditional scalar wavelet lifting scheme. A prefilter absorbed (PA) multiwavelet lifting factorization is also presented to reduce the redundant computations in prefiltering. Then an algorithm of multiwavelet lifting is designed and used for signal decomposition. The experimental results show this lifting scheme can achieve lower complexity while preserve high quality for image coding.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Y.J. Chen, K.S. Amaratunga, M-channel lifting factorization of perfect reconstruction filter banks and reversible M-band wavelet transforms. IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process. 50(12), 963–976 (2003)

    Article  Google Scholar 

  2. J. Chen, X. Ouyang, W. Zheng, The application of symmetric orthogonal multiwavelets and prefilter technique for image compression. J. Multimedia Tools Appl. Sci. 29, 175–189 (2006)

    Article  Google Scholar 

  3. C.K. Chui, J. Lian, A study on orthonormal multiwavelets. Appl. Numer. Math. 20, 273–298 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  4. M. Cotronei, D. Lazzaro, L.B. Montefusco, L. Puccio, Image compression through embedded multiwavelet transform coding. IEEE Trans. Image Process. 9(2), 184–189 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  5. I. Daubechies, W. Sweldens, Factoring wavelet transform into lifting steps. J. Fourier Anal. Appl. 4(3), 245–269 (1998)

    Article  MathSciNet  Google Scholar 

  6. W. Ding, F. Wu, X. Wu, S. Li, H. Li, Adaptive directional lifting-based wavelet transform for image coding. IEEE Trans. Image Process. 16(2), 416–427 (2007)

    Article  MathSciNet  Google Scholar 

  7. L. Gan, K.K. Ma, On minimal lattice factorizations of symmetric-antisymmetric multifilterbanks. IEEE Trans. Signal Process. 53(2), 606–621 (2005)

    Article  MathSciNet  Google Scholar 

  8. X.C. He, S.S. Yu, J.L. Zhou, Context- and HVS-based multiwavelet image coding using SPIHT framework. Circuits Syst. Signal Process. 24(2), 117–134 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  9. T.C. Hsung, D.P.K. Lun, K.C. Ho, Orthogonal symmetric prefilter banks for discrete multiwavelet transforms. IEEE Signal Process. Lett. 13(3), 145–148 (2006)

    Article  Google Scholar 

  10. Q.T. Jiang, Orthogonal multiwavelets with optimum time-frequency resolution. IEEE Trans. Signal Process. 46(4), 830–844 (1998)

    Article  MathSciNet  Google Scholar 

  11. W. Pearlman, A. Islam, N. Nagaraj, Efficient, low-complexity image coding with a set-partitioning embedded block coder. IEEE Trans. Circuits Syst. Video Technol. 14(11), 1219–1234 (2004)

    Article  Google Scholar 

  12. A. Skodras, C. Christopoulos, T. Ebrahimi, The JPEG 2000 still image compression standard. IEEE Signal Process. Mag. 9, 36–58 (2001)

    Article  Google Scholar 

  13. J.Y. Tham, L. Shen, S.L. Lee, A general approach for analysis and application of discrete multiwavelet transforms. IEEE Trans. Signal Process. 48(2), 457–464 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  14. X.G. Xia, J. Geronimo, D.P. Hardin, B.W. Suter, Design of prefilters for discrete multiwavelet transforms. IEEE Trans. Signal Process. 44(1), 25–35 (1996)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, 430074, People’s Republic of China

    Jiazhong Chen, Zengwei Ju, Changnian Chen, Rong Li, Tao Xia & Leihua Qin

  2. Wuhan National Laboratory for Optoelectronics, Wuhan, 430074, People’s Republic of China

    Jiazhong Chen

  3. College of Software, Huazhong University of Science and Technology, Wuhan, 430074, People’s Republic of China

    Hua Cao

  4. China Mobile Hubei Branch, Wuhan, 430023, People’s Republic of China

    Ping Xie

Authors
  1. Jiazhong Chen
    View author publications

    You can also search for this author inPubMed Google Scholar

  2. Zengwei Ju
    View author publications

    You can also search for this author inPubMed Google Scholar

  3. Hua Cao
    View author publications

    You can also search for this author inPubMed Google Scholar

  4. Ping Xie
    View author publications

    You can also search for this author inPubMed Google Scholar

  5. Changnian Chen
    View author publications

    You can also search for this author inPubMed Google Scholar

  6. Rong Li
    View author publications

    You can also search for this author inPubMed Google Scholar

  7. Tao Xia
    View author publications

    You can also search for this author inPubMed Google Scholar

  8. Leihua Qin
    View author publications

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence to Jiazhong Chen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, J., Ju, Z., Cao, H. et al. A Lifting Scheme of Symmetric-antisymmetric Multiwavelet Transform for Image Coding. Circuits Syst Signal Process 31, 1887–1900 (2012). https://doi.org/10.1007/s00034-012-9404-3

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-012-9404-3

Keywords