The dyadic lifting schemes and the denoising of digital images

International Journal of Wavelets, Multiresolution and Information Processing

Volumn 6, Issue 3, 2008, Pages 331-351

  Türüki, Turghunjan Abdukirim ^a   Hussain, Muhammed ^b   Niijima, Koichi ^c   Takano, Shigeru ^c  

^a XINJIANG NORMAL UNIVERSITY   (China)

^b KING SAUD UNIVERSITY   (Saudi Arabia)

^c KYUSHU UNIVERSITY   (Japan)

Author keywords

Dyadic wavelet; Image denoising; Lifting scheme

Indexed keywords

DATA PROCESSING; MULTIRESOLUTION ANALYSIS; WAVELET ANALYSIS;

DYADIC WAVELET; IMAGE DENOISING; LIFTING SCHEME;

IMAGE PROCESSING;

EID: 44349174927     PISSN: 02196913     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219691308002380     Document Type: Article

References (15)

1. T. Abdukirim, K. Niijima and S. Takano, Lifting dyadic wavelets, DOI Technical Report, Kyushu University, No. 212 (2002).
2. T. Abdukirim and K. Niijima, Design of bi-orthogonal wavelet filters designed using lifting dyadic wavelets, DOI Technical Report, Kyushu University, No. 224 (2004).
3. T. Abdukirim, S. Takano and K. Niijima, Construction of spline dyadic wavelet filters, Research Report on Information Science and Electrical Engineering of Kyushu University 7(11) (2002) 1-6.
4. T. Abdukirim, K. Niijima and S. Takano, Lifting dyadic wavelets for denoising, in Proc. 2003 Int. TICSP Workshop on Spectal Methods and Multirate Signal Processing (SMMSP2003), Barcelona, Spain (2003), pp. 147-154.
5. T. Abdukirim, K. Niijima and S. Takano, Design of biorthogonal wavelet filters using dyadic lifting scheme, Bull. Inform. Cybernet. 37 (2005) 123-136.
6. A. Cohen, I. Daubechies and J. Feauveau, Bi-orthogonal bases of compactly supported wavelets, Comm. Pure Appl. Math. 45 (1992) 485-560.
7. I. Daubechies, Ten Lectures on Wavelets (SIAM Press, 1992).
8. D. L. Donoho, De-noising by soft-threshold, IEEE Trans. Inform. Theory 41(3) (1995) 613-627.
9. I. M. Johnstone and B. W. Silverman, Wavelet threshold estimators for data with correlated noise, J. Roy. Statist. Soc. Ser. B 59 (1997) 6319-6351.
10. N. Kingsbury, Shift invariant properties of the dual-tree complex wavelet transform, in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing (ICASSP), Vol. 3, Arizona, USA (1999), pp. 1221-1224.
11. S. Mallat, A Wavelet Tour of Signal Processing (Academic Press, 1998).
12. R. Nowak, D. Nowak, R. Baraniuk and R. Hellman, Wavelet domain filtering for nuclear medicine imaging, in Proc. IEEE Medical Imaging Conf., Vol. 3, Anaheim, California, USA (1996), pp. 1802-1806.
13. Z. Shi, G. W. Wei, D. J. Kouri, D. K. Hoffman and Z. Bao, Lagrange wavelets for signal processing, IEEE Trans. Image Process. 10 10) (2001) 1488-1508.
14. W. Sweldens, The lifting scheme: A custom-design construction of bi-orthogonal wavelets, Appl. Comput. Harmon. Anal. 3(2) (1996) 186-200.
15. W. Sweldens, The lifting scheme: A construction of second generation wavelets, SIAM J. Math. Anal. 29(2) (1997) 511-546.