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Abstract

In this chapter we will introduce the wavelet transform with the purpose of obtaining better representation of images using atomic decompositions in the space-frequency domain.

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References

  1. Bourges-SĆ©venier, M. (1994). RĆ©alisation dā€™une bibliothĆØque c de fonctions ondelettes. Technical report, IRISA ā€“ INRIA.

    Google ScholarĀ 

  2. Chui, C. K. (1992). An introduction to wavelets. Academic Press.

    Google ScholarĀ 

  3. Costa, B. e Darsa, L. (1992). Visionaireā€”Commercial Morphing Software. Impulse, Inc., Minneapolis.

    Google ScholarĀ 

  4. Daubechies, I. (1992). Ten Lectures on Wavelets. SIAM Books, Philadelphia, PA.

    MATHĀ  Google ScholarĀ 

  5. Fiume, E. (1989). The Mathematical Structure of Raster Graphics. Academic Press, Boston.

    MATHĀ  Google ScholarĀ 

  6. Gonzalez, R. C. e Wintz, P. (1987). Digital Image Processing (2nd Edition). Addison-Wesley, Reading, MA.

    Google ScholarĀ 

  7. Hernandez, E. e Weiss, G. (1996). A First Course on Wavelets. CRC Press, Boca Raton.

    MATHĀ  Google ScholarĀ 

  8. Jawerth, B. e Sweldens, W. (1994). An overview of wavelet based multiresolution analyses. SIAM Rev., 36(3):377ā€“412.

    ArticleĀ  MATHĀ  MathSciNetĀ  Google ScholarĀ 

  9. Kaiser, G. (1994). A Friendly Guide to Wavelets. Birkhauser, Boston.

    MATHĀ  Google ScholarĀ 

  10. Lim, J. S. (1990). Two Dimensional Signal and Image Processing. Prentice-Hall, New York.

    Google ScholarĀ 

  11. Mallat, S. (1989a). Multifrequency channel decomposition of images and wavelet models. IEEE Transaction on ASSP, 37:2091ā€“2110.

    ArticleĀ  Google ScholarĀ 

  12. Mallat, S. (1989b). Multiresolution approximation and wavelets. Trans. Amer. Math. Soc., 315:69ā€“88.

    ArticleĀ  MATHĀ  MathSciNetĀ  Google ScholarĀ 

  13. Mallat, S. (1998). A Wavelet Tour of Signal Processing. Academic Press.

    Google ScholarĀ 

  14. Press, W. H., Teukolsky, S. A., e Vetterling, W. T. (1996). Numerical Recipes : The Art of Scientific Computing, chapter 13, pages 591ā€“606. Cambridge Univ Press.

    Google ScholarĀ 

  15. Weaver, J. (1989). Theory of Discrete and Continuous Fourier Transform. John Wiley & Sons, New York.

    Google ScholarĀ 

  16. Wickerhauser, M. V. (1994). Adapted Wavelet Analysis from Theory to Software. A. K. Peters, Wellesley, MA.

    MATHĀ  Google ScholarĀ 

  17. Zayed, A. (1993). Advances in Shannonā€™s Sampling Theory. CRC Press, Boca Raton.

    MATHĀ  Google ScholarĀ 

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Ā© 2009 Springer-Verlag London Limited

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Velho, L., Frery, A., Gomes, J. (2009). Multiscale Analysis and Wavelets. In: Image Processing for Computer Graphics and Vision. Texts in Computer Science. Springer, London. https://doi.org/10.1007/978-1-84800-193-0_9

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  • DOI: https://doi.org/10.1007/978-1-84800-193-0_9

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84800-192-3

  • Online ISBN: 978-1-84800-193-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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