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06 March 2003

Error-free computation of Daubechies wavelets for image compression applications

Abstract

A novel encoding scheme for Daubechies wavelets is proposed. The technique eliminates the requirements to approximate the transformation matrix elements; rather, by using algebraic integers, it is possible to obtain exact representations for them. As a result, error-free calculations up to the final reconstruction step can be achieved, which provides considerable improvement in image reconstruction accuracy.

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References

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Meng H., Wang Z., and Lui G. Performance of the Daubechies wavelet filters compared with other orthogonal transforms in random signal processing Int. Conf. on Signal Processing, WCCC-ICSP 1 2000 333-336 Conf. No. 5th
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Information & Authors

Information

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History

Published in print: 06 March 2003
Published online: 14 March 2024

Inspec keywords

  1. data compression
  2. image coding
  3. image reconstruction
  4. wavelet transforms

Keywords

  1. error-free computation
  2. Daubechies wavelets
  3. image compression
  4. image encoding
  5. transformation matrix
  6. algebraic integers
  7. image reconstruction

Authors

Affiliations

K.A. Wahid
ATIPS Laboratory, Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Alberta T2N 1N4, Canada
V.S. Dimitrov
ATIPS Laboratory, Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Alberta T2N 1N4, Canada
G.A. Jullien
ATIPS Laboratory, Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Alberta T2N 1N4, Canada
W. Badawy
ATIPS Laboratory, Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Alberta T2N 1N4, Canada

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Error-free computation of Daubechies wavelets for image compression applications

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