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
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Ziv, J., Lempel, A.: A Universal Algorithm for Data Compression. IEEE Transactions on Information Theory 23(3), 337–343 (1977)
Ziv, J., Lempel, A.: Compression of Individual Sequences via Variable-Rate Coding. IEEE Transactions on Information Theory 24(5), 530–536 (1978)
Rodeh, M., Pratt, V., Even, S.: Linear Algorithm for Data Compression via String Matching. Journal of the ACM 28(1), 16–24 (1981)
Storer, J., Syzmanski, T.: Data Compression via Textual Substitution. Journal of the ACM 29, 928–951 (1982)
Bell, T.: Better opm/l Text Compression. IEEE Transactions on Communications COM-34, 1176–1182 (1986)
Welch, T.: A Technique for High-Performance Data Compression. IEEE Computer, 8–19 (June 1984)
Miller, V., Wegman, M.: Variations on a Theme by Lempel and Ziv. Combinatorial Algorithms on Words, 131–140 (1985)
Jakobsson, M.: Compression of the Character Strings by an Adaptive Dictionary. BIT 25(4), 593–603 (1985)
Tischer, P.: A Modified Lempel-Ziv-Welch Data Compression Scheme. Australian Computer Science Communications 9(1), 262–272 (1987)
Fiala, E., Greene, D.: Data Compression with Finite Windows. Communications of the ACM 32, 490–505 (1989)
Amir, A., Landau, G., Sokol, D.: Inplace 2D matching in compressed images. Journal of Algorithms 49(2), 240–261 (2003)
Dai, V., Zakhor, A.: Lossless layout compression for maskless lithography. In: Proceedings of the SPIE, vol. 3997, pp. 467–477 (2000)
Storer, J., Helfgott, H.: Losless Image Compression by Block Matching. The Computer Journal 40(2-3), 137–145 (1997)
Rizzo, F., Storer, J., Carpentieri, B.: LZ-based image compression. Information Sciences 135(1-2), 107–122 (2001)
Cutler, C.: Differential quantization for television signals, U.S. Patent 2,605,361 (July 29, 1952)
Mahoney, M.: The PAQ6 data compression programs (2004), http://www.cs.fit.edu/~mmahoney/compression/
Burrows, M., Wheeler, D.J.: A Block-Sorting Lossless Data Compression Algorithm, Digital SRC Research Report 124, (May 10, 1994)
Taubman, D., Weinberger, M.: JPEG2000: Image Compression Fundamentals, Standards and Practice. Kluwer Academic Publishers, Dordrecht (2002)
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)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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)