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A Study on Preconditioning Multiwavelet Systems for Image Compression

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Wavelet Analysis and Its Applications (WAA 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2251))

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Abstract

We present a study on applications of multiwavelet analysis to image compression, where filter coefficents form matrices. As a multiwavelet filter bank has multiple channels of inputs, we investigate the data initialization problem by considering prefilters and postfilters that may give more efficient representations of the decomposed data. The interpolation postfilter andp refilter are formulated, which are capable to provide a better approximate image at each coarser resolution level. A design process is given to obtain both filters having compact supports, if exist. Image compression performances of some multiwavelet systems are studied in comparison to those of single wavelet systems.

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References

  1. Chui, C. K.: An Introduction to Wavelets. Volume 1 of Wavelet Analysis and Its Applications. Academic Press (1992)

    Google Scholar 

  2. Geronimo, J. S., Hardin, D. P., Massopust, P. R.: Fractal functions and wavelet expansions basedo on several scaling functions. Journal of Approximation Theory 78 (1994) 373–401

    Article  MATH  MathSciNet  Google Scholar 

  3. Donovan, G. C., Geronimo, J., Hardin, D. P.: Intertwining multiresolution analyses and the construction of piecewise polynomial wavelets. SIAM Journal of Mathematical Analysis 27 (1996) 1791–1815

    Article  MATH  MathSciNet  Google Scholar 

  4. Donovan, G., Geronimo, J. S., Hardin, D. P., Massopust, P. R.: Construction of orthogonal wavelets using fractal interpolation functions. SIAM Journal of Mathematical Analysis 27 (1996) 1158–1192

    Article  MATH  MathSciNet  Google Scholar 

  5. Strela, V., Walden, A. T.: Orthogonal and biorthogonal multiwavelets for signal denoising and image compression. SPIE Proc. 3391 AeroSense 98, Orlando, Florida, April 1998 (1998)

    Google Scholar 

  6. Selesnick, I.W.: Interpolating multiwavelet bases andt he sampling theorem. IEEE Trans. on Signal Processing 47 (1999) 1615–1621

    Article  MATH  MathSciNet  Google Scholar 

  7. Chui, C. K., Lian, J.: A study on orthonormal multi-wavelets. J. Appl. Numer. Math. 20 (1996) 273–298

    Article  MATH  MathSciNet  Google Scholar 

  8. Vaidyanathan, P. P.: Multirate Systems and Filter Banks. Prentice-Hall, New Jersey (1993)

    MATH  Google Scholar 

  9. Strela, V.: Multiwavelets: Theory andA pplications. PhD thesis, Massachusetts Institute of Technology, Cambridge, Mass. (1996)

    Google Scholar 

  10. Plonka, G., Strela, V.: Construction of multiscaling functions with approximation ands ymmetry. SIAM Journal of Mathematical Analysis 29 (1998) 481–510

    Article  MATH  MathSciNet  Google Scholar 

  11. Xia, X. G., Geronimo, J. S., Hardin, D. P., Suter, B. W.: Design of prefilters for discrete multiwavelet transforms. IEEE Trans. on Signal Processing 44 (1996) 25–35

    Article  Google Scholar 

  12. Xia, X. G.: A new prefilter design for discrete multiwavelet transforms. IEEE Trans. on Signal Processing 46 (1998) 1558–1570

    Article  Google Scholar 

  13. Miller, J. T., Li, C. C.: Adaptive multiwavelet initialization. IEEE Trans. on Signal Processing 46 (1998) 3282–3291

    Article  Google Scholar 

  14. Xia, T., Jiang, Q.: Optimal multifilter banks: design, related symmetric extension transform andap plication to image compression. IEEE Trans. on Signal Processing 47 (1999) 1878–1889

    Article  MATH  Google Scholar 

  15. Jiang, Q.: On the design of multifilter banks and orthogonal multiwavelet bases. IEEE Trans. on Signal Processing 46 (1998) 3292–3303

    Article  Google Scholar 

  16. Strela, V., Heller, P., Strang, G., Topiwala, P., Heil, C.: The application of multiwavelet filter banks to image processing. IEEE Trans. on Image Processing 8 (1999) 548–563

    Article  Google Scholar 

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© 2001 Springer-Verlag Berlin Heidelberg

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Kim, W., Li, CC. (2001). A Study on Preconditioning Multiwavelet Systems for Image Compression. In: Tang, Y.Y., Yuen, P.C., Li, Ch., Wickerhauser, V. (eds) Wavelet Analysis and Its Applications. WAA 2001. Lecture Notes in Computer Science, vol 2251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45333-4_6

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  • DOI: https://doi.org/10.1007/3-540-45333-4_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43034-6

  • Online ISBN: 978-3-540-45333-8

  • eBook Packages: Springer Book Archive

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