Oriented wavelet transform for image compression and denoising

IEEE Transactions on Image Processing

Volumn 15, Issue 10, 2006, Pages 2892-2903

  Chappelier, Vivien ^a   Guillemot, Christine ^b  

^a UNIVERSITÉ DE RENNES 1   (France)

^b CAMPUS DE BEAULIEU   (France)

Author keywords

Lifting; Multiscale image processing; Quincunx sampling; Wavelets

Indexed keywords

IMAGE CODING; IMAGE RECONSTRUCTION; MARKOV PROCESSES; MATHEMATICAL MODELS; WAVELET TRANSFORMS;

IMAGE DENOISING; MARKOV MODEL; MULTISCALE IMAGE PROCESSING; QUINCUNX SAMPLING; WAVELET COEFFICIENTS;

IMAGE COMPRESSION;

ALGORITHM; ARTICLE; ARTIFACT; AUTOMATED PATTERN RECOGNITION; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; IMAGE ENHANCEMENT; INFORMATION PROCESSING; INFORMATION RETRIEVAL; METHODOLOGY; SIGNAL PROCESSING; STATISTICAL MODEL; STATISTICS;

ALGORITHMS; ARTIFACTS; COMPUTER SIMULATION; DATA COMPRESSION; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; MODELS, STATISTICAL; PATTERN RECOGNITION, AUTOMATED; SIGNAL PROCESSING, COMPUTER-ASSISTED; STOCHASTIC PROCESSES;

EID: 33749183383     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2006.877526     Document Type: Article

References (27)

1. M. Vetterli, "Wavelets, approximation and compression," IEEE Signal Process. Mag., no. 9, pp. 59-73, Sep. 2001.
2. ] E. Candes and D. Donoho, "new tight frames of curvelets and optimal representations of objects with smooth singularities," Tech. Rep., Stanford Univ., Stanford, CA, 2002.
3. M. Do and M. Vetterli, "Pyramidal directional filter banks and curvelets," in Proc. IEEE Int. Conf. Image Processing, Oct. 2001, vol. 3, pp. 158-161.
4. M. N. Do and M. Vetterli, "The contourlet transform: An efficient directional multiresolution image representation," IEEE Trans. Image Process., vol. 14, no. 12, pp. 2091-2106, Dec. 2005.
5. Y. Lu and M. N. Do, "Crisp-contourlets: A critically sampled directional multiresolution image representation," presented at the SPIE Conf. Wavelet Applications in Signal and Image Processing Aug. 2003.
6. E. P. Simoncelli and W. T. Freeman, "The steerable pyramid: A flexible architecture for multi-scale derivative computation," in Proc. IEEE Int. Conf. Image Processing, Oct. 1995, vol. 3, pp. 444-447.
7. N. Kingsbury and T. Reeves, "Iterative image coding with over-complete complex wavelet transforms," SPIE Vis. Commun. Image Process., vol. 5150, pp. 1253-1264, Jul. 2003.
8. E. Pennec and S. Mallat, "Image compression with geometrical wavelets," in IEEE Int. Conf. Image Processing, 2000, vol. 1, pp. 661-664.
9. V. Velisavljevic, B. Beferull-Lozano, M.Vetterli, and P. Dragotti, "Discrete multi-directional wavelet bases," in IEEE Int. Conf. Image Processing, Sep. 2003, vol. 1, pp. 1025-1028.
10. V. Velisavljevic, B. Beferull-Lozano, M. Vetterli, P. Dragotti, "Directionlets: Anisotropic multi-directional representation with separable filtering," IEEE Trans. Image Process., vol. 15, no. 7, pp. 1916-1933, Jul. 2006.
11. V. Chappelier and C. Guillemot, "Oriented wavelet transform on a quincunx pyramid for image compression," in Proc. IEEE Int. Conf. Image Processing, Sep. 2005, pp. 81-84.
12. I. Daubechies and W. Sweldens, "Factoring wavelet transforms into lifting steps," J. Fourier Anal. Appl., vol. 4, no. 3, pp. 247-269, 1998.
13. W. Sweldens, "The lifting scheme: A Construction of second generation wavelets," SIAM J. Math. Anal., vol. 29, no. 2, pp. 511-546, 1997.
14. J. C. Feauveau, "Analyse multir-solution avec un facteur de résolution p2," J. Trait. Signal, vol. 7, no. 2, pp. 117-128, 1990.
15. A. Gouze, M. Antonini, and M. Barlaud, "Quincunx lifting scheme for lossy image coding," in Proc. IEEE Int. Conf. Image Processing, Sep. 2000, vol. 1, pp. 665-668.
16. W. Ding, F. Wu, and S. Li, "Lifting-based wavelet transform with directionally spatial prediction," presented at the Picture Coding Symp. Dec. 2004.
17. M. Unser and T. Blu, "Mathematical properties of the JPEG2000 wavelet filters," IEEE Trans. Image Process., vol. 12, no. 9, pp. 1080-1090, Sep. 2003.
18. E. L. Pennec and S. Mallat, "Sparse geometric image representation with bandelets," IEEE Trans. Image Process., vol. 14, no. 4, pp. 423-438, Apr. 2005.
19. D. Taubman, "High performance scalable image compression with ebcot," IEEE Trans. Image Process., vol. 9, no. 7, pp. 1158-1170, Jul. 2000.
20. J. Liu and P. Moulin, "Information-theoretic analysis of interscale and intrascale dependencies between image wavelet coefficients," IEEE Trans. Image Process., vol. 10, no. 10, pp. 647-1658, Nov. 2001.
21. S. M. LoPresto, K. Ramchandran, and M. T. Orchard, "Image coding based on mixture modeling of wavelet coefficients and a fast estimation-quantization framework," in Proc. Conf. Data Compression, 1997, pp. 221-230.
22. P. Clifford, G. R. Grimmett and D. J. A. Welsh, Eds., "Markov random fields in statistics," in Disorder in Physical Systems, a Volume in Honour of J. M. Hammersley. Oxford, U.K.: Clarendon, 1990.
23. S. Roth and M. J. Black, "Fields of experts: A framework for learning image priors," in Proc. IEEE Conf. Computer Vision and Pattern Recognition, Jun. 2005, vol. 2, pp. 860-867.
24. J. Portilla, V. Strela, M. Wainwright, and E. P. Simoncelli, "Image denoising using scale mixtures of gaussians in the wavelet domain," IEEE Trans. Image Process., vol. 12, no. 11, pp. 1338-1351, Nov. 2003.
25. R. R. Coifman and D. L. Donoho, Translation-Invariant De-Noising. New York: Springer-Verlag, 1995.
26. E. LePennec, "Bandelettes et Représentations Géometrique Des Image," Ph.D. dissertation, Ecole Polytech., Palaiseau, France, Dec. 2002.
27. Oriented Wavelet Transform [Online]. Available: http://www.irisa.fr/ temics/Equipe/Chappelier/owavelets/