Fast implementation of a ℓ∞-ℓ1 penalized sparse representations algorithm: Applications in image denoising and coding.

Conference Record - Asilomar Conference on Signals, Systems and Computers

Volumn , Issue , 2007, Pages 508-512

  Fuchs, Jean Jacques ^a   Guillemot, Christine ^a  

^a UNIVERSITÉ DE RENNES 1   (France)

Author keywords

Image and video processing: Image and video coding; Multi rate and digital signal processing: Signal representations and spectral analysis; Speech

Indexed keywords

IMAGE PROCESSING; IMAGING SYSTEMS; IMAGING TECHNIQUES; OPTICAL DATA PROCESSING; PAINTING; PROGRAMMING THEORY;

DE-NOISING; FAST IMPLEMENTATION; IMAGE AND VIDEO PROCESSING: IMAGE AND VIDEO CODING; MULTI-RATE AND DIGITAL SIGNAL PROCESSING: SIGNAL REPRESENTATIONS AND SPECTRAL ANALYSIS; SPARSE REPRESENTATIONS; SPEECH;

IMAGE CODING;

EID: 50349089660     PISSN: 10586393     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACSSC.2007.4487264     Document Type: Conference Paper

References (13)

1. S. Chen, D. Donoho and M. Saunders, "Atomic Decomposition by Basis Pursuit" SIAM J. on Scientific Comput., 20, 1, 33-61, 1999.
2. J.J. Fuchs. "On the application of the global matched filter to DOA estimation with uniform circular arrays." IEEE-T-SP, 49, p. 702-709, Apr. 2001.
3. S. Mallat and Z. Zhang, "Matching Pursuit with time-frequency dictionaries," IEEE Trans. on S.P., 41, 3397-3415, 1993.
4. R. Gribonval and E. Bacry "Harmonic decomposition of audio signals with matching pursuit" IEEE Trans. on S.P., vol. 51, 1, 101-111, Jan. 2003.
5. B. Efron, T. Hastie, I. Johnstone and R. Tibshirani, "Least angle regression," Annals of Statistics, 32, pp. 407-499, Apr. 2004.
6. S. Maria and J.J. Fuchs, "Application of the global matched filter to STAP data, an efficient algorithmic approach" Proceedings of the IEEE ICASSP Conference, Toulouse, May 2006.
7. S. Krstulovic and R. Gribonval MPTK: Matching Pursuit made tractable Proceedings of the IEEE I-CASSP Conference, Toulouse, May 2006.
8. P. Frossard, P. Vandergheynst, R. M. Figueras i Ventura, and M. Kunt, "A Posteriori Quantization of Progressive Matching Pursuit Streams" IEEE Trans. on Signal Processing, vol. 52, 2, pp. 525-535, Feb. 2004.
9. R. Neff and A. Zakhor, "Very low bit-rate video coding based on matching pursuit video coder", IEEE Trans. on Circuits and systems for video technology, vol. 7, 1, Feb. 1997.
10. R. A. DeVore, B. Jawerth and B. J. Lucier, "Image Compression Through Wavelet Transform Coding", IEEE Trans. on Information Theory, vol. 38, 2, March. 1992.
11. ∞ Norm and Confidence Interval Criteria", IEEE Trans. on Signal Processing, vol. 7, 5, May 1998.
12. M. Elad and M. Aharon "Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries", IEEE Trans. on Image Processing, vol. 15, 12, Dec. 2006.
13. J.J. Fuchs, "Some further results on the recovery algorithms", SPARS'05, Rennes, Nov. 2005.