Filtered wavelet thresholding methods

Journal of Computational and Applied Mathematics

Volumn 164-165, Issue , 2004, Pages 39-52

  Bacchelli, Silvia ^a   Papi, Serena ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Filtered solution; Image denoising; Variational approach; Wavelet thresholding

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; IMAGE QUALITY; NONLINEAR FILTERING; SPURIOUS SIGNAL NOISE;

IMAGE DENOISING PROBLEMS;

IMAGE PROCESSING;

MATHEMATICAL METHOD; WAVELET ANALYSIS;

EID: 1442265046     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.09.005     Document Type: Article

References (10)

1. Antoine J.-P. Carrette P. Murenzi R. Piette B. Image analysis with two-dimensional continuous wavelet transform Signal Process. 31 3 1993 241-272
2. Chambolle A. DeVore R.A. Lee N. Lucier B.J. Nonlinear wavelet image processing: variational problem, compression and noise removal through wavelet shrinkage IEEE Trans. Image Process. 7 1998 319-335
3. Cohen A. Daubechies I. Vial P. Wavelets on the interval and fast wavelet transforms Appl. Comput. Harmonic Anal. 1 1993 54-81
4. A. Cohen, R.A. DeVore, P. Petrushev, H. Xu, Nonlinear Approximation and the Space BV(R2), 1997.
5. I. Daubechies, Ten lectures on wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 61, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1992.
6. R.A. Devore, B.J. Lucier, Fast Wavelet Techniques for Near-Optimal Image Processing, IEEE Press, New York, 1992, pp. 1129-1135.
7. D. Donoho, Wavelet shrinkage and W.V.D: a 10 minute tour, Progress in Wavelet Analysis and Applications, Editiones Frontieres, Dreuk, 1992, pp. 109-128.
8. Donoho D. Johnstone I. Ideal spatial adaptation by wavelet shrinkage Biometrika 81 1994 425-455
9. Donoho D. Johnstone I. Kerkyacharian G. Picard D. Wavelet shrinkage: asymptopia? J. Roy. Statist. Soc. Ser. B 57 1995 301-369
10. L.B. Montefusco, S. Papi, A variational approach to wavelet shrinkage, to appear on BIT.