Contribution of the fractal dimension to multiscale adaptive filtering of SAR imagery

IEEE Transactions on Geoscience and Remote Sensing

Volumn 41, Issue 8, 2003, Pages 1765-1772

  Germain, Mickaël ^a   Bénié, Goze B ^a   Boucher, Jean Marc ^b   Foucher, Samuel ^a   Fung, Ko ^c   Goïta, Kalifa ^a  

^a UNIVERSITÉ DE SHERBROOKE   (Canada)

^b ECOLE DES MINES DE NANTES   (France)

^c CCTRN   (Canada)

Author keywords

Adaptive filtering; Fractal dimension; Multiresolution analysis; Speckle effect; Synthetic aperture radar (SAR); Wavelet transform

Indexed keywords

ADAPTIVE FILTERING; DIGITAL FILTERS; ESTIMATION; FRACTALS; IMAGE SEGMENTATION; MATHEMATICAL MODELS; SPECKLE; SYNTHETIC APERTURE RADAR; WAVELET TRANSFORMS;

MULTIRESOLUTION WAVELET ANALYSIS; MULTISCALE ADAPTIVE FILTERING; MULTISCALE DECOMPOSITION; RADAR WAVE COHERENCE;

RADAR IMAGING;

EID: 0141675963     PISSN: 01962892     EISSN: None     Source Type: Journal    
DOI: 10.1109/TGRS.2003.811695     Document Type: Article

References (19)

1. A. Bijaoui, J.-L. Starck, and F. Murtagh, "Restauration des images multiechelles par l'algorithme à trous," Trait. Signal, pp. 229-243, June 1994.
2. F. Bonn, Précis de télédétection. Montreal, QC, Canada: Presses de l'Univ. du Québec, 1992, vol. 1, Principes et Méthodes.
3. I. Daubechies, "Orthonormal bases of compactly supported wavelets," Commun. Pure Appl. Math., vol. 41, pp. 909-996, 1988.
4. ____, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992.
5. S. Foucher, G. B. Bénié, and J.-M. Boucher, "Multiscale MAP filtering of SAR images," IEEE Trans. Image Processing, vol. 10, pp. 49-60, Jan. 2001.
6. L. Gagnon and F. D. Smaili, "Speckle noise reduction of airborne SAR images with symmetric daubechies wavelets," Proc. SPIE: Signal Data Processing of Small Targets, vol. 2759, pp. 14-24, 1996.
7. S. Giordano, S. Miduri, M. Pagano, F. Russo, and S. Tartarelli, "A wavelet-based approach to the estimation of the hurst parameter for self-similar data," in Proc. 13th Int. Conf. Digital Signal Processing (DSP '97), vol. 2, 1997, pp. 479-482.
8. M. S. Keshner, "1/f noise," Proc. IEEE, vol. 70, pp. 212-218, Mar. 1982.
9. n," IEEE Trans. Inform. Theory, vol. 38, pp. 533-555, Mar. 1992.
10. E. Lopes, A. Zenry, and R. Touzi, "Structure detection and statistical adaptative speckle filtering in SAR images," Int. J. Remote Sens., vol. 14, no. 9, pp. 1735-1758, 1993.
11. T. Lundahl, W. J. Ohley, S. M. Kay, and R. Siffert, "Fractional brownian motion: A maximum likehood estimator and its application to image texture," IEEE Trans. Med. Imaging, vol. MI-5, pp. 52-161, Sept. 1986.
12. S. Mallat, "A theory for multiresolution signal decomposition: The wavelet representation," IEEE Trans. Pattern Anal. Machine Intell., vol. II, pp. 674-693, July 1989.
13. ____, "Multifrequency channel decompositions of images and wavelets models," IEEE Trans. Acoust., Speech Signal Processing, vol. 37, pp. 2091-2110, Dec. 1989.
14. A. P. Pentland, "Fractal-based description of natural scenes," IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-6, pp. 661-674, Nov. 1984.
15. M. J. Shensha, "The discrete wavelet transform: Wedding the a trous and Mallat algorithms," IEEE Trans. Signal Processing, vol. 40, pp. 2464-2482, Oct. 1992.
16. A. Touzi, R. Lopes, and P. Bousquet, "A statistical and geometrical edge detector for SAR images," IEEE Trans. Geosci. Remote Sensing, vol. 26, pp. 764-773, Nov. 1988.
17. M. Vetterli, "Multidimensional subband coding: Some theory and algorithms," Signal Process., vol. 6, pp. 97-112, 1984.
18. H. Wenjie and L. Ming-jun, Examples of Bivariate Nonseparable Compactly Supported Orthonormal Continuous Wavelets. Athens, GA: Dept. Math., Univ. Georgia, 1998.
19. G. W. Wornell and A. V. Oppenheim, "Estimation of fractal signals from noisy measurements using wavelets," IEEE Trans. Signal Processing, vol. 40, pp. 611-623, Mar. 1992.