Abstract
The JPEG2000 image compression standard exploits two empirically designed context models for conditional entropy coding of bit-planes of wavelet transform coefficients. The models use the so called significance (binary) values of eight adjacent coefficients as a context template, which are mapped into 9 conditional contexts. This paper addresses the problem of optimality of this approach. In other words, we answer the question: given the context template, is it possible to design models that would result in a better compression performance? In our work, we exploited optimization techniques for model design. We show that for the chosen context template, optimization results in only marginal improvement of compression performance (about 0.3%) compared to the JPEG2000 models for the class of natural images. Our conclusion is that the compression efficiency can be improved only by choosing a larger context template.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Taubman, D., Marcellin, M.: JPEG2000: Image compression fundamentals, standards and practice. Kluwer Academic Publishers, Norwell (2002)
Wu, X.: Compression of wavelet transform coefficients. In: Rao, K., Yip, P. (eds.) The Transform and Data Compression Handbook, pp. 347–378. CRC Press, Boca Raton (2001)
Taubman, D.: High performance scalable image compression with EBCOT. IEEE Trans. Image Processing 9, 1158–1170 (2000)
Wu, X., Chou, P., Xue, X.: Minimum conditional entropy context quantization. In: Proc. IEEE Int. Symp. on Inf. Theory, pp. 43 (2000)
Forchhammer, S., Wu, X., Andersen, J.: Lossless image data sequence compression using optimal context quantization. In: Proc. Data Compression Conf., pp. 53–62 (2001)
Witten, I., Neal, R., Cleary, J.: Arithmetic coding for data compression. Communications of the ACM 30, 520–540 (1987)
Wu, X., Memon, N.: Context-based, adaptive, lossless image codec. IEEE Trans. Commun. 45, 437–444 (1997)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Krivoulets, A., Wu, X., Forchhammer, S. (2003). On Optimality of Context Modeling for Bit-Plane Entropy Coding in the JPEG2000 Standard. In: GarcÃa, N., Salgado, L., MartÃnez, J.M. (eds) Visual Content Processing and Representation. VLBV 2003. Lecture Notes in Computer Science, vol 2849. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39798-4_27
Download citation
DOI: https://doi.org/10.1007/978-3-540-39798-4_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20081-9
Online ISBN: 978-3-540-39798-4
eBook Packages: Springer Book Archive