Wavelets and functions with bounded variation from image processing to pure mathematics

Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni

Volumn 11, Issue 4 SPEC. ISS., 2000, Pages 77-105

  Meyer, Yves ^a  

^a UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

Functions with bounded variation; Image processing; Wavelets

Indexed keywords

EID: 0242674996     PISSN: 11206330     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. A. BONAMI - S. POORNIMA, Non-multipliers of Sobolev spaces. Journ. Funct. Anal., 71, 1987, 175-181.
2. CH. M. BRISLAW, Fingerprints go digital. Notices of the AMS, vol. 42, no. 11, nov. 1995, 1278-1283. http://www.c3.lanl.gov/brislawn
3. 2). American Journal of Mathematics, 121, 1999, 587-628.
4. I. DAUBECHIES, Ten lectures on wavelets. SIAM, Philadelphia 1992.
5. R. DEVORE - B. JAWERTH - V. POPOV, Compression of wavelet decompositions. American Journal of Mathematics, 114, 1992, 737-785.
6. R. DEVORE - B. J. LUCIER, Fast wavelet techniques for near optimal image compression. IEEE Military Communications Conference (October 11-14, 1992), 1992.
7. D. DONOHO, Nonlinear Solution of Linear Inverse Problems by Wavelet-Vaguelette Decomposition. Applied and Computational Harmonic Analysis, 2, 1995, 101-126.
8. D. DONOHO - I. JOHNSTONE, Wavelet shrinkage: Asymptopia? J. R. Statist. Soc., B, 57 (2), 1995, 301-369.
9. J.-P. KAHANE - P.-G. LEMARIÉ-RIEUSSET, Fourier Series and Wavelets. Gordon and Breach Science Publishers, 1996.
10. S. MALLAT, A Wavelet Tour of Signal Processing. Academic Press, 1998.
11. Y. MEYER, Wavelets, Algorithms & Applications. SIAM, Philadelphia 1993.
12. Y. MEYER, Wavelets and Operators. Cambridge studies in advanced mathematics, 37 CUP, 1992.
13. Y. MEYER, Wavelets, vibrations and scalings. CRM Monograph Series, vol. 9, 1998.
14. J.-M. MOREL, Filtres itératifs des images et équations aux dérivées partielles. Notes de cours du centre Emile Borel, 1998.
15. J.-M. MOREL - S. SOLIMINI, Variational methods in image segmentation. Birkhäuser, Boston 1995.
16. D. MUMFORD, Book reviews on [12]. Bulletin of the American Mathematical Society, vol. 33, n. 2, April 1996.
17. D. MUMFORD - J. SHAH, Boundary detection by minimizing functionals. Proc. IEEE Conf. Comp. Vis. Pattern Recognition, 1985.
18. F. ORU, Le rôle des oscillations dans quelques problèmes d'analyse non-linéaire. Thèse, CMLA, Ecole Norm. Sup. de Cachan, 9 Juin 1998.
19. L. RUDIN - S. OSHER, Total variation based image restoration with free local constraints. Proceedings Intern. Conf. on Image Processing (Austin, 1994). IEEE Press, Piscataway, N.J. 1994, 31-35.