Proposal of shift insensitive wavelet decomposition for stable analysis

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Volumn E88-A, Issue 8, 2005, Pages 2087-2098

  Matsuo, Tadashi ^a   Yoshida, Yasuo ^a,b,c   Nakamori, Nobuyuki ^a,b,d  

^a KYOTO INSTITUTE OF TECHNOLOGY   (Japan)

^b IEEE

^c Institute of Image Electronics Engineers of Japan   (Japan)

^d JSAP   (Japan)

Author keywords

Directional selectivity; Measure of shift sensitivity; Shift insensitivity; Stable analysis; Wavelet transform

Indexed keywords

BANDWIDTH; SENSITIVITY ANALYSIS; SIGNAL PROCESSING; WAVE FILTERS;

DIRECTIONAL SELECTIVITY; MEASURE OF SHIFT SENSITIVITY; SHIFT INSENSITIVITY; STABLE ANALYSIS;

WAVELET TRANSFORMS;

EID: 26044471891     PISSN: 09168508     EISSN: 17451337     Source Type: Journal    
DOI: 10.1093/ietfec/e88-a.8.2087     Document Type: Conference Paper

References (12)

1. A. Abbas and T.D. Tran, "Fast approximations of orthogonal dual-tree wavelet bases," IEEE Int. Conf. Acoustics, Speech, and Signal Processing, pp.IV-605-IV-608, Philadelphia, PA, March 2005.
2. M. Antonini, M. Barlaud, P. Mathieu, and I. Daubechies, "Image coding using wavelet transform," IEEE Trans. Image Process., vol. 1, no.2, pp.205-220, April 1992.
3. S. Chang, B. Yu, and M. Vetterli, "Spatially adaptive wavelet thresholding with context modeling for image denoising," IEEE Trans. Image Process., vol.9, no.9, pp. 1522-1531, Sept. 2000.
4. I. Daubechies, Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, 1992.
5. F.C.A. Fernandes, Directional, Shift-Invariance, Complex Wavelet Transforms with Controllable Redundancy, PhD, Rice University, Houston, Texas, Jan. 2002.
6. F.C.A. Fernandes, R.L.C. van Spaendonck, and C.S. Burrus, "A new framework for complex wavelet transforms," IEEE Trans. Signal Process., vol.51, no.7, pp. 1825-1837, July 2003.
7. N.G. Kingsbury, "Image processing with complex wavelets," Phil. Trans. R. Soc. Lond., vol.357, no. 1760, pp.2543-2560, Sept. 1999.
8. N.G. Kingsbury, "A dual-tree complex wavelet transform with improved orthogonality and symmetry properties," Proc. IEEE Int. Conf. Image Process., pp.375-378, Vancouver, Sept. 2000.
9. S. Mallat, A Wavelet Tour of Signal Processing, second ed., Academic Press, 1999.
10. I.W. Selesnick, "The double density DWT," in Wavelets in Signal and Image Analysis: From Theory to Practice, ed. A.A. Petrosian and F.G. Meyer, ch. 2, Kluwer Academic Publishers, Boston, MA, Oct. 2001.
11. I.W. Selesnick, "Hilbert transform pairs of wavelet bases," IEEE Signal Process. Lett., vol.8, no.6, pp. 170-173, June 2001.
12. I.W. Selesnick, "The design of approximate Hilbert transform pairs of wavelet bases," IEEE Trans. Signal Process., vol.50, no.5, pp.1144-1152, May 2002.