Image processing with complex wavelets

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 357, Issue 1760, 1999, Pages 2543-2560

  Kingsbury, Nick ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Complex filters; Directional filters; Image processing; Perfect reconstruction; Shift invariance; Wavelets

Indexed keywords

EID: 0346876959     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1999.0447     Document Type: Review

References (13)

1. Belzer, B., Lina, J.-M. & Villasenor, J. 1995 Complex, linear-phase filters for efficient image coding. IEEE Trans. Signal Proc. 43, 2425-2427.
2. Daubechies, I. 1990 The wavelet transform, time-frequency localisation and signal analysis. IEEE Trans. Informat. Theory 36, 961-1005.
3. Kingsbury, N. G. 1998a The dual-tree complex wavelet transform: a new technique for shift invariance and directional filters. In Proc. 8th IEEE DSP Workshop, Bryce Canyon, UT, USA, paper no. 86.
4. Kingsbury, N. G. 1998b The dual-tree complex wavelet transform: a new efficient tool for image restoration and enhancement. In Proc. EUSIPCO 98, Rhodes, Greece, pp. 319-322.
5. Kovacevic, J. & Daubechies, I. (eds) 1996 Special issue on wavelets. Proc. IEEE 84, 507-685.
6. Lawton, W. 1993 Applications of complex valued wavelet transforms to sub-band decomposition. IEEE Trans. Signal Proc. 41, 3566-3568.
7. Magarey, J. F. A. & Kingsbury, N. G. 1998 Motion estimation using a complex-valued wavelet transform. IEEE Trans. Signal Proc. 46, 1069-1084.
8. Malfait, M. & Roose, D. 1997 Wavelet-based image denoising using a Markov random field a priori model. IEEE Trans. Image Proc. 6, 549-565.
9. Mallat, S. G. 1989 A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans. PAMI 11, 674-693.
10. Rioul, O. & Vetterli, M. 1991 Wavelets and signal processing. IEEE Signal Processing Mag. 8, 14-38.
11. Simoncelli, E. P., Freeman, W. T., Adelson, E. H. & Heeger, D. J. 1992 Shiftable multiscale transforms. IEEE Trans. Informat. Theory 38, 587-607.
12. Tay, D. B. H. & Kingsbury, N. G. 1993 Flexible design of multidimensional perfect reconstruction FIR 2-band filters using transformations of variables. IEEE Trans. Image Proc. 2, 466-480.
13. Vetterli, M. & Kovacevic, J. 1995 Wavelets and sub-band coding. Englewood Cliffs, NJ: Prentice-Hall.