Skip to main content Accessibility help
×
Hostname: page-component-77c89778f8-swr86 Total loading time: 0 Render date: 2024-07-20T22:25:20.695Z Has data issue: false hasContentIssue false

11 - Subband/wavelet coding systems

Published online by Cambridge University Press:  05 June 2012

William A. Pearlman
Affiliation:
Rensselaer Polytechnic Institute, New York
Amir Said
Affiliation:
Hewlett-Packard Laboratories, Palo Alto, California
Get access

Summary

In this chapter, we shall describe coding systems, primarily for images, that use the principles and algorithms explained in previous chapters. A complete coding system uses a conjunction of compression algorithms, entropy coding methods, source transformations, statistical estimation, and ingenuity to achieve the best result for the stated objective. The obvious objective is compression efficiency, stated as the smallest rate for a given distortion for lossy coding or smallest rate or compressed file size in lossless coding. However, other attributes may be even more important for a particular scenario. For example, in medical diagnosis, decoding time may be the primary concern. For mobile devices, small memory and low power consumption are essential. For broadcasting over packet networks, scalability in bit rate and/or resolution may take precedence. Usually to obtain other attributes, some compression efficiency may need to be sacrificed. Of course, one tries to obtain as much efficiency as possible for the given set of attributes wanted for the system. Therefore, in our description of systems, we shall also explain how to achieve other attributes besides compression efficiency.

Wavelet transform coding systems

The wavelet transform consists of coefficients grouped into subbands belonging to different resolutions or scales with octave frequency separation. As such, it is a natural platform for producing streams of code bits (hereinafter called codestreams) that can be decoded at multiple resolutions.

Type
Chapter
Information
Digital Signal Compression
Principles and Practice
, pp. 313 - 360
Publisher: Cambridge University Press
Print publication year: 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Chrysafis, C., Said, A., Drukarev, A., Islam, A., and Pearlman, W. A., “SBHP – a low complexity wavelet coder,” in Proceedings of the IEEE International Conference on Acoustics Speech Signal Process., vol. 4, Istanbul, Turkey, Jun. 2000, pp. 2035–2038.Google Scholar
2. Information Technology – JPEG2000 Image Coding System, Part 1: Core Coding System, ISO/IEC Int. Standar. 15444–1, Geneva, Switzerland. 2000.
3. Hsiang, S.-T. and Woods, J. W., “Embedded image coding using zeroblocks of subband/wavelet coefficients and context modeling,” in Proceedings of the IEEE International Symposium Circuits Systems, vol. 3, Geneva, Switzerland, May 2000, pp. 662–665.Google Scholar
4. Hsiang, S.-T., “Highly scalable subband/wavelet image and video coding,” Ph.D. thesis, Electrical, Computer and Systems Engineering Dept., Rensselaer Polytechnic Institute, Troy, NY, USA. 2002.
5. Taubman, D. S., “High performance scalable image compression with EBCOT,” IEEE Trans. Image Process., vol. 9, no. 7, pp. 1158–1170, Jul. 2000.CrossRefGoogle ScholarPubMed
6. Taubman, D. S. and Marcellin, M. W., JPEG2000: Image Compression Fundamentals, Standards, and Practice. Norwell, MA: Kluwer Academic Publishers, 2002.CrossRefGoogle Scholar
7. Acharya, T. and Tsai, P.-S., JPEG2000 Standard for Image Compression: Concepts, Algorithms and VLSI Architectures. Hoboken, NJ: Wiley-Interscience, Oct. 2004.CrossRefGoogle Scholar
8. Information Technology – JPEG2000 Extensions, Part 2: Core Coding System, ISO/IEC Int. Standar. 15444–2, Geneva, Switzerland. 2001.
9. Said, A. and Pearlman, W. A., “A new, fast, and efficient image codec based on set partitioning in hierarchical trees,” IEEE Trans. Circuits Syst. Video Technol., vol. 6, no. 3, pp. 243–250, Jun. 1996.CrossRefGoogle Scholar
10. Wheeler, F. W. and Pearlman, W. A., “SPIHT image compression without lists,” in Proceedings of the IEEE International Conference on Acoustics Speech Signal Process., vol. 4, Istanbul, Turkey, Jun. 2000, pp. 2047–2050.Google Scholar
11. Shively, R. R., Ammicht, E., and Davis, P. D., “Generalizing SPIHT: a family of efficient image compression algorithms,” in Proceedings of the IEEE International Conference on Acoustics Speech Signal Processing, vol. 4, Istanbul, Turkey, Jun. 2000, pp. 2059–2062.Google Scholar
12. Moinuddin, A. A. and Khan, E., “Wavelet based embedded image coding using unified zeroblock- zero-tree approach,” in Proceedings of the IEEE International Conference on Acoustics Speech Signal Processing, vol. 2, Toulouse, France, May 2006, pp. 453–456.Google Scholar
13. Khan, E. and Ghanbari, M., “Very low bit rate video coding using virtual SPIHT,” IEE Electron. Lett., vol. 37, pp. 40–42, Jan. 2001.CrossRefGoogle Scholar
14. Silva, E. A. B., Sampson, D. G., and Ghanbari, M., “A successive approximation vector quantizer for wavelet transform image coding,” IEEE Trans. Image Process., vol. 5, no. 2, pp. 299–310, Feb. 1996.CrossRefGoogle ScholarPubMed
15. Perlmutter, S. M., Perlmutter, K. O., and Cosman, P. C., “Vector quantization with zerotree significance map for wavelet image coding,” in Rec. Twenty-Ninth Asilomar Conference on Signals Systems and Computers, vol. 2, Pacific Grove, CA, Oct. 1995, pp. 1419–1423.CrossRefGoogle Scholar
16. Cosman, P. C., Perlmutter, S. M., and Perlmutter, K. O., “Tree-structured vector quantization with significance map for wavelet image coding,” in IEEE Data Compression Conf., Snowbird, UT, Mar. 1995, pp. 33–41.Google Scholar
17. Mukherjee, D. and Mitra, S. K., “Successive refinement lattice vector quantization,” IEEE Trans. Image Process., vol. 11, no. 12, pp. 1337–1348, Dec. 2002.CrossRefGoogle ScholarPubMed
Christophe, E. and Pearlman, W. A., “Three-dimensional SPIHT coding of volume images with random access and resolution scalability,” EURASIP J. Image Video Process., vol. 2008, no. Article I. 248905, 2008, 13 pages.CrossRefGoogle Scholar
Islam, A. and Pearlman, W. A., “Embedded and efficient low-complexity hierarchical image coder,” in Proceedings of the SPIE Vol. 3653: Visual Communication Image Processing, San Jose, CA, Jan. 1999, pp. 294–305.Google Scholar
Pearlman, W. A., Islam, A., Nagaraj, N., and Said, A., “Efficient, low-complexity image coding with a set-partitioning embedded block coder,” IEEE Trans. Circuits Syst. Video Technol., vol. 14, no. 11, pp. 1219–1235, Nov. 2004.CrossRefGoogle Scholar
Said, A. and Pearlman, W. A., “An image multiresolution representation for lossless and lossy compression,” IEEE Trans. Image Process., vol. 5, no. 9, pp. 1303–1310, Sept. 1996.CrossRefGoogle ScholarPubMed
Shapiro, J. M., “Embedded image coding using zerotrees of wavelet coefficients,” IEEE Trans. Signal Process., vol. 41, no. 12, pp. 3445–3462, Dec. 1993.CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×