Image denoising based on second generation bandelets and multi-level thresholding

Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

Volumn 2, Issue , 2006, Pages 9509-9513

  Yang, Xiaohui ^b   Li, Wei ^b   Jiao, Licheng ^a,b  

^a IEEE   (China)

^b XIDIAN UNIVERSITY   (China)

Author keywords

Adaptive; Geometric regularity; Multiresolution geometry analysis; Second generation bandelet; Thresholding

Indexed keywords

IMAGE DENOISING; IMAGE NOISE REMOVAL; MULTI-LEVEL THRESHOLDING; SECOND GENERATION BANDELETS;

BANDWIDTH; IMAGE ANALYSIS; IMAGE RESOLUTION; NOISE GENERATORS; SIGNAL TO NOISE RATIO; WHITE NOISE;

IMAGE PROCESSING;

EID: 34047193769     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/WCICA.2006.1713844     Document Type: Conference Paper

References (20)

1. I. Daubechies, Ten Lectures on Wavelets. Capital City Press, Montpelier, Vermont, pp. 251-262, 1992.
2. S. Mallat, A Wavelet Tour of Signal Processing. Academic Press, New York, 1998.
3. V. Velisavljević́, B. Beferull-Lozano, M. Vetterli, and P. L. Dragotti, "Directionlets: Anisotropic Multi-directional Representation with Separable Filting," IEEE Trans. Image Processing, unpublished.
4. L. C. Jiao, S. Tan, "Development and Prospect of Image Multiscale Geometric Analysis," Acta Electronica Sinica, vol. 31. 12A, pp. 1975-1981, Dec. 2003.
5. E. J. Candès, Ridgelets: Theory and Applications. Ph. D dissertation, USA: Department of Statistics, Stanford University, 1998.
6. E. J. Candès, D. L. Donoho, "Curvelets-a surprisingly effective nonadaptive representation for objects with edges," in Curve and Surface Fitting, A. Cohen, C. Rabut, and L. L. Schumaker, Eds. Saint-Malo: Vanderbilt University Press, 1999.
7. E. J. Candès, D. L. Donoho, "Curvelets and Curvilinear Integrals," Department of Statistic, Standford University, CA, Tech. Rep., Dec. 1999.
8. M. N. Do and M Vetterli, "The Contourlets Transform: An efficient directional multiresolution image representation," IEEE Trans. Image Processing, unpublished.
9. E. Le Pennec, S. Mallat, "Image Compression with Geometrical Wavelets," in Proc. IEEE International Conference on Image Processing (ICIP'2000), Vancouver, Canada, pp. 661-664, Sept. 2000.
10. G. Peyré and S. Mallat, "Second Generation Bandelets and their Application to Image and 3D Meshes Compression," (CMAP'2004). Mathematics and Image Analysis, in press.
11. E. LE. Pennec and S. Mallat, "Sparse Geometrical Image Representation with Bandelets," IEEE. Trans. Image Processing, vol. 14, no. 4, pp: 423-438, 2005.
12. E. LE. Pennec and S. Mallat, "Bandelet Image Approximation and Compression," SIAM Multiscale Modeling and Simulation, unpublished.
13. G. Peyré and S. Mallat, "Discrete Bandelets with Geometric Orthogonal Filters," International Conference on Image Processing (ICIP'2005), Genova, Sept. 2005, in press.
14. D L. Donoho, "Wedgelets: Nearly-Minimax Estimation of Edges," Ann. Statist., vol. 27, pp. 859-897, 1999.
15. G. Peyré, S. Mallat, "Surface Compression with Geometric Bandelets," The 32nd International Conference on Computer Graphics and Interactive Techniques (SIGGRAPH2005), Genova, unpublished.
16. X. H. Yang, H. Y. Jin, and L. C. Jiao, "Bandelet Frame Based on Multi-wavelets," unpublished.
17. D. L. Donoho, "Denoising by soft-thresholding," IEEE Trans. Inform. Theory, vol. 41, pp. 613-627, 1992.
18. H. Guo, J. E. Odegard, M. Lang, R. A. Gopinath, I. W. Selesnick and C. S. Burrus, "Wavelet Based Speckle Reduction with Application to SAR Based ATD/R," IEEE International Conf. on Image Processing, vol. 1, pp. 75-79, 1994.
19. D. Donoho and I. Johnstone, "Ideal Spatial Adaptation via Wavelet Shrinkage," Biometrika, vol. 81, pp. 425-455, Dec. 1994.
20. J. Portilla, V. Strela, M. J. Wainwright, and E. P. Simoncelli, "Image Denoising Using Scale Mixtures of Gaussians in the Wavelet Domain," IEEE. Trans. On Image Processing, vol. 12, No. 11, pp. 1338-1351, Nov. 2003.