Applications of multiwavelet techniques to image denoising

IEEE International Conference on Image Processing

Volumn 3, Issue , 2002, Pages

  Bala, Erdem ^a   Ertuzun, Aysin ^a  

^a BOGAZICI UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; HIGH PASS FILTERS; IMAGE CODING; IMAGE COMPRESSION; LOW PASS FILTERS; SPURIOUS SIGNAL NOISE;

IMAGE DENOISING; MULTIWAVELET TECHNIQUES; WAVELET THEORY; WAVELET THRESHOLDING METHOD;

WAVELET TRANSFORMS;

EID: 0036448055     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. D. L. Donoho and I. M. Johnston, "Ideal Spatial Adaptation via Wavelet Shrinkage", Biometrika, Vol. 81, pp-425-455, 1994
2. D. L. Donoho, "Denoising by Soft-thresholding", IEEE Transactions on Information Theory, Vol. 41, pp. 613-627, 1995
3. T. N. T. Goodman and S. L. Lee, "Multiwavelets of Multiplicity r", Tr. Am. Math. Soc., Vol. 342, pp. 307-324, 1994.
4. 2 (R)", Trans. Amer. Math. Soc., Vol. 315, pp. 69-87, 1989.
5. J. Geronimo, D. Hardin and P. R. Massopust, "Fractal Functions and Wavelet Expansions Based on Several Functions", J. Approx. Theory, Vol. 78, pp. 373-401, 1994.
6. C. K. Chui and J. A. Lian, "A study of Orthonormal Multiwavelets", Texas A&MU CAT Report No. 351, 1995.
7. L. X. Shen, H. H. Tan, and J. Y. Tham, "Symmetric-antisymmetric Orthonormal Multiwavelets and Related Scalar Wavelets", 1997, http://citeseer.nj.nec.com/cs.
8. I. Selesnick, "Interpolating Multiwavelet Bases and the Sampling Theorem", 1998, http://citeseer.nj.nec.com/cs.
9. V. Strela, P. Heller, G. Strang, P. Topiwala, and C. Heil, "The Application of Multiwavelet Filter Banks to Signal and Image Processing", IEEE Transac. on Image Processing, 1998.
10. V. Strela and A. T. Walden, "Denoising via Wavelet Shrinkage: Orthogonal, Biorthogonal and Multiple Wavelet Transforms", T. Report, Imperial College of Science, UK, 1998.
11. T. R. Downie and B. W. Silverman, "The Discrete Multiple Wavelet Transform and Thresholding Methods", IEEE Transac. on Signal Processing, Vol. 46, pp. 2558-2561, 1998.
12. D. L. Donoho and I. M. Johnston, "Adapting to Unknown Smoothness via Wavelet Shrinkage", J. American Statist. Assoc., Vol. 90, pp. 1200-1224, 1995.
13. N. Weyrich and G. T. Warhola, "Wavelet Shrinkage and Generalized Cross Validation for Image Denoising", IEEE Trans. on Image Processing, Vol.7, No.1, pp.82-90, 1998.
14. I. Selesnick, "Multiwavelet Bases with Extra Approximation Properties", 1998, http://citeseer.nj.nec.com/cs.
15. X. G. Gia, "A New Prefilter Design for Discrete Multiwavelet Transforms", IEEE Transactions on Signal Processing, Vol. 46, No.6, pp. 1558-1570, 1998.
16. X. G. Xia, J. S. Geronimo, D. P. Hardin and B. W. Suter, "Design of Prefilters for Discrete Multiwavelet Transforms", IEEE Trans. on Signal Processing, Vol. 44, pp. 25-35, 1996.
17. C. Stein, "Estimation of the Mean of a Multivariate Normal Distribution", Annals. of Statist., Vol. 9, pp. 1135-1151, 1981.
18. D. L. Donoho and I. M. Johnston, "Adapting to Unkown Smoothness via Wavelet Shrinkage", J. American Statist. Assoc., Vol. 90, pp. 1200-1224, 1995.
19. I. Daubechies, "Orthonormal Bases of Compactly Supported Wavelets", Commun. On Pure and Appl. Math., Vol. 41, pp. 909-996, 1988.
20. A. Cohen, I. Daubechies and J. C. Feauveau, "Biorthogonal Bases of Compactly Supported Wavelets", C. On Pure and Appl. Math., Vol. 45, pp. 485-560, 1992.
21. D. P. Hardin and D. W. Roach, "Multiwavelet Prefilters I: Orthogonal Prefilters Preserving Approximation Order p<=2", http://citeseer.nj.nec.com/cs.