On the computation of wavelet coefficients

Journal of Approximation Theory

Volumn 88, Issue 1, 1997, Pages 47-79

  Delyon, Bernard ^a   Juditsky, Anatoli ^a  

^a CAMPUS DE BEAULIEU   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030637333     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1996.3008     Document Type: Article

References (18)

1. 1. M. Antonini, M. Barlaud, P. Mathieu, and I. Daubechies, Image coding using Wavelet transforms, IEEE Proc. Acoustics, Speech, Signal Process. (1991), to appear.
2. 2. A. Cohen, I. Daubechies, B. Jawerth, and P. Vial, Multiresolution analysis, Wavelets, and fast algorithms on interval, Comp. Rend. Acad. Sci. Paris (A) 316 (1993), 417-421.
3. 3. A. Cohen, B. Daubechies, and P. Vial, Wavelets on the interval and fast Wavelet transforms, Appl. Comput. Harmonic Anal. (A) 1 (1993), 54-81.
4. 4. I. Daubechies, "Ten Lectures on Wavelets," CBMS-NSF Regional Conference Series in Applied Mathematics, SIAM, 1992.
5. 5. D. Donoho, Interpolating wavelet transforms. Dept. of Statistics, Stanford University, 1993; ftp:plaifair.stanford.edu.
6. 6. D. Donoho, Smooth wavelet decompositions with blocky coefficient kernels, Dept. of Statistics, Stanford University, 1993; ftp:plaifair.stanford.edu.
7. 7. D. Donoho, I. Johnstone, G. Kerkyacharian, and D. Picard, Density estimation by wavelet thresholding, submitted, 1993.
8. 8. B. Jawerth, R. A. DeVore, and V. Popov, Compression of wavelet decompositions, Amer. J. Math. 114 (1993), 737-785.
9. 9. A. N. Kolmogorov and V. M. Tikhomirov, ε-entropy and ε-capacity of sets in functional spaces, Usp. Mat. Nauk. 14, No. 2 (1995), 3-86.
10. 10. A. Korostelev and A. Tsybakov, "Minimax Theory of Image Reconstruction," Springer-Verlag, New York/Berlin, 1993.
11. 11. S. Mallat and W. L. Hwang, Singularity detection and processing with wavelets, IEEE Trans. Info Theory 38, No. 2 (1993), 617-643.
12. 12. Y. Meyer, "Ondelettes et opérateurs," Hermann, Paris, 1990.
13. 13. Y. Meyer, Ondelettes sur l'intervalle, Rev. Mat. Iberoamericana 1 (1991), 115-134.
14. 14. D. Pollard, "Convergence of Stochastic Processes," Springer-Verlag, New York/Berlin, 1984.
15. n, Forum Math. 2 (1990), 451-476.
16. 16. G. Strang and G. Fix, A Fourier analysis of the finite element variational method, in "Constructive Aspects of Functional Analysis" (Geyminat, Ed.), pp. 793-840, C.I.M.E., 1978.
17. 17. H. Triebel, "Theory of Function Spaces II," Birkhauser, Basel, 1983.
18. 18. A. Zygmund, "Trigonometric Series," Vols. I and II combined, Cambridge Univ. Press, Cambridge, 1993.