Ondelettes, filtres miroirs en quadrature et traitement numerique de l'image

  • Yves Meyer
Part of the Lecture Notes in Mathematics book series (LNM, volume 1438)


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  1. [1]
    E. H. Adelson & P. J. Burt The laplacian pyramid as a compact image code. IEEE Trans. Comm., COM-31 (1983), 532–540.Google Scholar
  2. [2]
    E. H. Adelson, R. Hingorani & E. Simoncelli Orthogonal pyramid transforms for image coding. SPIE 845, Visual communications and image processing II (1987), 50–58.Google Scholar
  3. [3]
    Th. P. Barnwell Subband coder design incorporating recursive quadrature filters and optimum ADPCM coders. IEEE Trans. Acoust., Speech, Signal processing, ASSP-30 (1982), 751–765.Google Scholar
  4. [4]
    G. Battle A block spin construction of ondelettes. Part I, Lemarié functions. Comm. Math. Phys. 110 (1987), 601–615.MathSciNetCrossRefGoogle Scholar
  5. [5]
    G. Battle A block spin construction of ondelettes. Part II, the QFT connection. Comm. Math. Phys. 114 (1988), 93–102.MathSciNetCrossRefGoogle Scholar
  6. [6]
    A. Cohen Ondelettes, analyses multirésolutions et filtres miroirs en quadrature. Preprint du CEREMADE (1989).Google Scholar
  7. [7]
    I. Daubechies Orthogonal bases of compactly supported wavelets. Comm. in Pure and Applied Math. 41 (1988), 909–996.MathSciNetCrossRefMATHGoogle Scholar
  8. [8]
    I. Daubechies, A. Grossmann & Y. Meyer Painless nonorthogonal expansions. J. Math. Phys. 27 (1986), 1271–1283.MathSciNetCrossRefMATHGoogle Scholar
  9. [9]
    S. E. Elnakas, Kou-Hu Tzou, J. R. Cox, R. L. Hill & J. G. Jost Progressive coding and transmission of digital diagnostic pictures. IEEE Trans. on Medical Imaging, MI-5, no2 (1986).Google Scholar
  10. [10]
    D. Esteban & C. Galand Application of quadrature mirror filters to split band voice coding schemes. Proc. 1977 IEEE Int. Conf. Acoust., Speech, Signal processing, Hartford, CT (1977), 191–195.Google Scholar
  11. [11]
    P. Franklin A set of continuous orthogonal function. Math. Annalen 100 (1928), 522–529.MathSciNetCrossRefMATHGoogle Scholar
  12. [12]
    J. Garcia-Cuerva & J. L. Rubio de Francia Weighted norm inequalities and related topics. North-Holland Math. Studies 116.Google Scholar
  13. [13]
    M. Holschneider & P. Tchamitchian On the wavelet analysis of Riemann's function. Preprint (C.P.T., CNRS, Marseille-Luminy, case 907, 13288 Marseille Cedex 9).Google Scholar
  14. [14]
    S. G. Mallat Review of multifrequency channel decompositions of images and wavelet models. Invited paper for a special issue of IEEE on Acoustic, Speech and Signal processing, Multidimensional Signal Processing.Google Scholar
  15. [15]
    D. Marr Vision, a computational investigation into the human representation and processing of visual information. W. H. Freeman and Co. New York, 1982.Google Scholar
  16. [16]
    Y. Meyer Ondelettes, fonctions splines et analyses graduées. Rend. Sem. Mat. Univ. Politec. Torino 45 (1987).Google Scholar
  17. [17]
    Y. Meyer Ondelettes et applications. Cours d'automne, 1988, Institut de Physique Théorique, Université de Lausanne.Google Scholar
  18. [18]
    S. D. O'Neil & J. W. Woods Subband coding of images. IEEE Trans. on Acoust., Speech and Signal Proc., 34 (1986), 1278–1287.CrossRefGoogle Scholar
  19. [19]
    J. O. Strömberg A modified Haar system and higher order spline systems. Conference in harmonic analysis in honor of Antoni Zygmund, II, 475–493, edited by W. Beckner and al., Wadworth Math. Series.Google Scholar

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© Springer-Verlag 1990

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  • Yves Meyer

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