Skip to main content

Grayscale Two-Dimensional Lempel-Ziv Encoding

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3656))

Abstract

Dictionary-based compression methods are a popular form of data file compression. LZ77, LZ78 and their variants are likely the most famous of these methods. These methods are implemented to reduce the one-dimensional correlation in data, since they are designed to compress text. Therefore, they do not take advantage of the fact that, in images, adjacent pixels are correlated in two dimensions. Previous attempts have been made to linearize images in order to make them suitable for dictionary-based compression, but results show that no single linearization is best for all images. In this paper, a true two-dimensional dictionary-based lossless image compression scheme for grayscale images is introduced. Testing results show that the compression performance of the proposed scheme outperforms and surpasses any other existing dictionary-based compression scheme. The results also show that it slightly outperforms JPEG-2000’s compression performance, when it operates in its lossless mode, and it is comparable to JPEG-LS’s compression performance, where JPEG-2000 and JPEG-LS are the current image compression standards.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ziv, J., Lempel, A.: A Universal Algorithm for Data Compression. IEEE Transactions on Information Theory 23(3), 337–343 (1977)

    Article  MATH  MathSciNet  Google Scholar 

  2. Ziv, J., Lempel, A.: Compression of Individual Sequences via Variable-Rate Coding. IEEE Transactions on Information Theory 24(5), 530–536 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  3. Rodeh, M., Pratt, V., Even, S.: Linear Algorithm for Data Compression via String Matching. Journal of the ACM 28(1), 16–24 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  4. Storer, J., Syzmanski, T.: Data Compression via Textual Substitution. Journal of the ACM 29, 928–951 (1982)

    Article  MATH  Google Scholar 

  5. Bell, T.: Better opm/l Text Compression. IEEE Transactions on Communications COM-34, 1176–1182 (1986)

    Article  Google Scholar 

  6. Welch, T.: A Technique for High-Performance Data Compression. IEEE Computer, 8–19 (June 1984)

    Google Scholar 

  7. Miller, V., Wegman, M.: Variations on a Theme by Lempel and Ziv. Combinatorial Algorithms on Words, 131–140 (1985)

    Google Scholar 

  8. Jakobsson, M.: Compression of the Character Strings by an Adaptive Dictionary. BIT 25(4), 593–603 (1985)

    Article  Google Scholar 

  9. Tischer, P.: A Modified Lempel-Ziv-Welch Data Compression Scheme. Australian Computer Science Communications 9(1), 262–272 (1987)

    Google Scholar 

  10. Fiala, E., Greene, D.: Data Compression with Finite Windows. Communications of the ACM 32, 490–505 (1989)

    Article  Google Scholar 

  11. Amir, A., Landau, G., Sokol, D.: Inplace 2D matching in compressed images. Journal of Algorithms 49(2), 240–261 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  12. Dai, V., Zakhor, A.: Lossless layout compression for maskless lithography. In: Proceedings of the SPIE, vol. 3997, pp. 467–477 (2000)

    Google Scholar 

  13. Storer, J., Helfgott, H.: Losless Image Compression by Block Matching. The Computer Journal 40(2-3), 137–145 (1997)

    Article  Google Scholar 

  14. Rizzo, F., Storer, J., Carpentieri, B.: LZ-based image compression. Information Sciences 135(1-2), 107–122 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  15. Cutler, C.: Differential quantization for television signals, U.S. Patent 2,605,361 (July 29, 1952)

    Google Scholar 

  16. Mahoney, M.: The PAQ6 data compression programs (2004), http://www.cs.fit.edu/~mmahoney/compression/

  17. Burrows, M., Wheeler, D.J.: A Block-Sorting Lossless Data Compression Algorithm, Digital SRC Research Report 124, (May 10, 1994)

    Google Scholar 

  18. Taubman, D., Weinberger, M.: JPEG2000: Image Compression Fundamentals, Standards and Practice. Kluwer Academic Publishers, Dordrecht (2002)

    Google Scholar 

  19. Weinberger, M., Seroussi, G., Sapiro, G.: The LOCO-I Lossless Image Compression Algorithm: Principles and Standardization into JPEG-LS. IEEE Transactions on Image Processing 9(8), 1309–1324 (2000)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Brittain, N.J., El-Sakka, M.R. (2005). Grayscale Two-Dimensional Lempel-Ziv Encoding. In: Kamel, M., Campilho, A. (eds) Image Analysis and Recognition. ICIAR 2005. Lecture Notes in Computer Science, vol 3656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11559573_41

Download citation

  • DOI: https://doi.org/10.1007/11559573_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29069-8

  • Online ISBN: 978-3-540-31938-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics