Wavelet-based approach to adaptive Wiener filtering of images in the presence of colored noise

Optical Engineering

Volumn 39, Issue 5, 2000, Pages 1354-1363

  Stephanakis, Ioannis M ^a   Kollias, Stefanos D ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE FILTERING; ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; CORRELATION METHODS; FOURIER TRANSFORMS; IMAGE RECONSTRUCTION; ITERATIVE METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NEURAL NETWORKS; WAVELET TRANSFORMS;

GRADIENT BASED ESTIMATION; WAVELET THRESHOLDING; WIENER FILTERING;

COLOR IMAGE PROCESSING;

EID: 0033698881     PISSN: 00913286     EISSN: None     Source Type: Journal    
DOI: 10.1117/1.602509     Document Type: Article

References (22)

1. I. Daubechies, "Orthonormal bases of compactly supported wavelets," Commun. Pure Appl. Math. XLI, 909-996 (1988).
2. M. Vetterli and J. Kovacenic, Wavelets and Subband Coding, Prentice-Hall, Englewood Cliffs, NJ (1995).
3. Z. Xiong, K. Ramchandran, and M. T. Orchard, "Space-frequency quantization for wavelet image coding," IEEE Trans. Image Process. 6(5), 677-693 (1997).
4. M. G. Strintzis, "Optimal pyramidal and subband decompositions for hierarchical coding of noisy and quantized images," IEEE Trans. Image Process. 7(2), 155-166 (1998).
5. J. P. Leduc, J. M. Odobez, and C. Labit, "Adaptive motion compensated wavelet filtering for image sequence coding," IEEE Trans. Image Process. 6(6), 862-878 (1997).
6. B. Bhanu, "Gabor wavelet representation for 3D object recognition," IEEE Trans. Image Process. 6(1), 47-91 (1997).
7. T. Chang and C. C. Jay Kuo, "Texture analysis and classification with tree-structured wavelet transform," IEEE Trans. Image Process. 2(4), 429-441 (1993).
8. M. Basseville, A. Benveniste, K. C. Chou, S. A. Golden, R. Nikoukhah, and A. S. Willsky, "Modeling and estimation of multiresolution stochastic processes," IEEE Trans. Inf. Process. 38(2), 766-784 (1992).
9. R. M. Banham, and A. K. Katsaggelos, "Spatially adaptive wavelet-based multiscale image restoration," IEEE Trans. Image Process. 5(4), 619-634 (1996).
10. I. M. Stephanakis, "Regularized image restoration in multiresolution spaces," Opt. Eng. 36(6), 1738-1744 (1996).
11. A. Delopoulos, L. Sukissian, and S. Kollias, "An efficient multiresolution texture classification scheme using neural networks," Int. J. Computer Math. 67, 155-167 (1998).
12. Q. Zang, "Using wavelet network in non-parametric estimation," IEEE Trans. Neural Netw. 8(2), 227-236 (1997).
13. Q. Zang and A. Benveniste, "Wavelet networks," IEEE Trans. Neural Netw. 3(6), 889-898 (1992).
14. K. W. Bowman and C. Houdre, "Wavelet analysis of random fields and multiresolution Wiener filtering," Proc. SPIE 2569, 307-318 (1995).
15. N. Erdol and F. Basbug, "Wavelet transform based adaptive filters: analysis and new results," IEEE Trans. Signal Process. 44(9), 2163-2171 (1996).
16. J.-C. Pesquet and D. Leporini, "New wavelet estimator for image denoising," in Proc. 1997 6th International Conf. on Image Processing and its Applications 1:249-253 (1997).
17. D. L. Donoho, "De-noising by soft-thresholding," IEEE Trans. Inf. Theory 41(3), 613-627 (1995).
18. A. Cohen, I. Daubechies, B. Jawerth, and P. Vial, "Multiresolution analysis, wavelets, and fast algorithms on an interval," Acad. Sci. Paris A 316, 417-421 (1992).
19. H. H. Lee, and J. K. Paik, "Space frequency adaptive image restoration based on wavelet decomposition," in Proc. IEEE Asia-Pacific Conf. on Circuits and Systems, Seoul, pp. 512-515 (1996).
20. J. S. Lim, Two-dimensional Signal and Image Processing, Prentice-Hall, Englewood Cliffs, NJ (1990).
21. I. H. Jang and N. C. Kim, "Locally adaptive Wiener filtering in wavelet domain for image restoration," in Proc. 1997 IEEE TENCON Conf. Brisbane, Australia, Vol. 1, pp. 25-28 (1997).
22. W. Gardner, Introduction to Random Processes, 2nd ed., McGraw-Hill (1990).