Very high quality image restoration by combining wavelets and curvelets

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 4478, Issue , 2001, Pages 9-19

  Starck, J L ^a   Donoho, D L ^b   Candes E J ^c  

^a UNIVERSITÉ PARIS DIDEROT   (France)

^b STANFORD UNIVERSITY   (United States)

^c CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Curvelet; Filtering; Image restoration; Multiscale methods; Ridgelet; Wavelet

Indexed keywords

DIGITAL FILTERS; DIGITAL SIGNAL PROCESSING; SIGNAL TO NOISE RATIO; SPURIOUS SIGNAL NOISE; WAVELET TRANSFORMS;

CURVELETS; RIDGELETS;

IMAGE RECONSTRUCTION;

EID: 0035767715     PISSN: 0277786X     EISSN: None     Source Type: Journal    
DOI: 10.1117/12.449693     Document Type: Article

References (11)

1. E.J. Candès and D.L. Donoho, "Ridgelets: The Key to Higher-dimensional Intermittency?," Phil. Trans. R. Soc. Lond. A. 357, pp. 2495-2509, 1999.
2. E.J. Candès and D.L. Donoho, "Curvelets - a surprisingly effective nonadaptive representation for objects with edges," in Curve and Surface Fitting: Saint-Malo 1999, A. Cohen, C. Rabut, and L. Schumaker, eds., Vanderbilt University Press, (Nashville, TN), 1999.
3. E.J. Candès, "Harmonic analysis of neural netwoks," Applied and Computational Harmonic Analysis 6, pp. 197-218, 1999.
4. J. Starck, E. Candès, and D. Donoho, "The curvelet transform for image denoising," IEEE Transactions on Image Processing, 2001. submitted.
5. J. Starck, F. Murtagh, and A. Bijaoui, Image Processing and Data Analysis: The Multiscale Approach, Cambridge University Press, Cambridge (GB), 1998.
6. S. Chen, D. Donoho, and M. Saunder, "Atomic decomposition by basis pursuit," SIAM Journal on Scientific Computing 20(1), pp. 33-61, 1998.
7. F. Meyer, A. Averbuch, J.-O. Stromberg, and R. Coifman, "Multi-layered image representation: Application to image compression," in International Conference on Image Processing, ICIP'98, Chicago, 1998.
8. X. Huo, Sparse Image Representation via Combined Transforms. PhD thesis, Stanford Univesity, August 1999.
9. S. Mallat and Z. Zhang, "Atomic decomposition by basis pursuit," IEEE Transactions on Signal Processing 41(12), pp. 3397-3415, 1993.
10. I. Yamada, "Inherently parallel algorithm for feasibility and optimization," Elsevier, 2001.
11. H. Heijmans and J. Goutsias, "Multiresolution signal decomposition schemes, part 2: Morphological wavelets," IEEE Transactions on Image Processing 9(11), pp. 1897-1913, 2000.