Skip to main content
SpringerLink
Log in

Comparison of the efficiencies of image compression algorithms based on separable and nonseparable two-dimensional Haar wavelet bases

  • Representation, Processing, Analysis, and Understanding of Images
  • Published:
Pattern Recognition and Image Analysis Aims and scope Submit manuscript

Abstract

Compression algorithms for digital images are described that are based on nonseparable two-dimensional wavelet transforms on nonrectangular supports. The efficiencies of these algorithms are experimentally investigated and compared with those of a compression algorithm based on a separable Haar wavelet basis.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. M. Belov, “Signal Decomposition Algorithms Based on the Haar Nonseparable Wavelet Transforms,” Comp’yut. Opt., No. 1, 63–66 (2007).

  2. A. M. Belov, “Application of the Canonical Number Systems to the Construction of Nonseparable Haar-like Wavelets,” Comp’yut. Opt., No. 28, 119–123 (2006).

  3. K. Grochenig and W. Madych, “Multiresolution Analysis, Haar Bases and Self-Similar Tilings of R n,” IEEE Trans. Inf. Theory 38, 556–568 (1992).

    Article  MathSciNet  Google Scholar 

  4. I. Katai and B. Kovacs, “Canonical Number Systems in Imaginary Quadratic Fields,” Acta Math. Acad. Sci. Hungar. 37, 159–164 (1981).

    Article  MATH  MathSciNet  Google Scholar 

  5. I. Katai and J. Szabo, “Canonical Number Systems for Complex Integers,” Acta Sci. Math. (Szeged) 37, 255–260 (1975).

    MATH  MathSciNet  Google Scholar 

  6. A. Kovacs, “Generalized Binary Number Systems,” Ann. Univ. Sci. Budapest, Sect. Comput. 20, 195–206 (2001).

    MATH  MathSciNet  Google Scholar 

  7. F. Mendivil and D. Piché, “Two Algorithms for Non-separable Wavelet Transforms and Applications,” in Fractals: Theory and Applications in Engineering (Springer-Verlag, 1999).

  8. D. G. Piché, “Complex Bases, Number Systems, and Their Application to Fractal-Wavelet Image Coding,” PhD Thesis (Univ. Waterloo, Ontario, 2002).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Image Processing Systems Institute, Russian Academy of Sciences, Molodogvardeiskaya ul. 151, Samara, 443001, Russia

    A. M. Belov

Authors
  1. A. M. Belov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. M. Belov.

Additional information

Aleksandr Mikhailovich Belov. Born 1980. Graduated from the Samara State Aerospace University. Received candidate’s degree in physics and mathematics in 2007. Currently is a junior scientist at the Institute of Image Processing, Russian Academy of Sciences. Scientific interests: discrete orthogonal transforms, fast algorithms for discrete orthogonal transforms, and the theory of canonical number systems. Author of 20 publications, including 8 papers. Member of the Russian Pattern Recognition and Image Processing Association.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Belov, A.M. Comparison of the efficiencies of image compression algorithms based on separable and nonseparable two-dimensional Haar wavelet bases. Pattern Recognit. Image Anal. 18, 602–605 (2008). https://doi.org/10.1134/S1054661808040111

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1054661808040111

Keywords

Search

Navigation