Image coding using translation invariant wavelet transforms with symmetric extensions

IEEE Transactions on Image Processing

Volumn 7, Issue 5, 1998, Pages 762-769

  Liang, Jie ^a   Parks, Thomas W ^b  

^a TEXAS INSTRUMENTS   (United States)

^b Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; IMAGE COMPRESSION; WAVELET TRANSFORMS;

TRANSLATION INVARIANT WAVELET TRANSFORMS;

IMAGE CODING;

EID: 0032074679     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/83.668030     Document Type: Article

References (34)

1. M. Antonini, M. Barlaud, P. Mathieu, and I. Daubechies, "Image coding using wavelet transform," IEEE Trans. Image Processing, vol. 1, no. 2, Apr. 1992.
2. R. H. Bamberger, S. L. Eddins, and V. Nuri, "Generalized symmetric extensions for size-limited multirate filter banks," IEEE Trans. Image Processing, vol. 3, no. 1, pp. 82-87, Jan. 1994.
3. F. Bao and N. Erdol, "On the discrete wavelet transform and shiftability," in Proc. ICASSP, 1993, pp. 1442-1445.
4. S. A. Benno and J. M. F. Moura, "On translation invariant subspaces and critically sampled wavelet transforms," preprint, J. Multidimen. Syst. Signal Proc., to be published.
5. G. Beylkin, "On the representation of operators in bases of compactly supported wavelets," SIAM J. Numer. Anal., vol. 29, pp. 1716-1740, 1992.
6. C. M. Brislawn, "Classification of symmetric wavelet transforms," Los Alamos Nat. Lab., Mar. 22, 1993.
7. A. Cohen, I. Daubechies, and P. Vial, "Wavelets on the interval and fast wavelet transforms," Appl. Computat. Harmon. Anal., vol. 1, pp. 54-81, 1993.
8. I. Cohen, S. Raz, and D. Malah, "Shift invariant wavelet packet bases," in Proc. ICASSP, 1995, pp. 1081-1084.
9. R. R. Coifman and M. V. Wickerhauser, "Entropy-based algorithms for best basis selection," IEEE Trans. Inform. Theory, vol. 38, pp. 713-718, Mar. 1993.
10. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992.
11. R. L. de Quieroz, "Subband processing of finite length signals without border distortions," in Proc. ICASSP, 1992, pp. 613-616.
12. C. Herley, J. Kovacevic, K. Ramachandra, and M. Vetterli, "Tilings of the time-frequency plane: Construction of arbitrary orthogonal bases and fast tiling algorithms," IEEE Trans. Signal Processing, vol. 41, no. 12, Dec. 1993.
13. N. S. Jayant and Peter Noll, Digital Coding of Waveforms: Principles and Applications to Speech and Video. Englewood Cliffs, NJ: Prentice-Hall, 1984.
14. J. Katto and Y. Yasuda, "Performance evaluation of subband coding and optimization of its filter coefficients," SPIE Vis. Image Commun., 1991, pp. 95-106.
15. J. Liang and T. W. Parks, "A two-dimensional translation invariant wavelet representation with applications," in Proc. IEEE Int. Conf. Image Processing, Austin, TX, Nov. 13-16, 1994.
16. J. Liang and T. W. Parks, "A translation invariant wavelet representation algorithm and its applications," IEEE Trans. Signal Processing, vol. 44, pp. 225-232, Feb. 1996.
17. J. Liang and T. W. Parks, "A translation invariant wavelet compression algorithm and its applications," in Proc. Conf. Information Sciences and Systems, Princeton, NJ, Mar. 1994.
18. S. Mallat and S. Zhong, "Characterization of signals from multiscale edges," IEEE Trans. Pattern Anal. Machine Intell., vol. 14, pp. 710-732, July 1992.
19. S. G. Mallat and Z. Zhang, "Matching pursuits with time-frequency dictionaries," IEEE Trans. Signal Processing, vol. 41, no. 12, Dec. 1993.
20. S. Del Marco, P. Heller, and J. Weiss, "An M-band, 2-dimensional translation-invariant wavelet transform and applications," in Proc. ICASSP, 1995, pp. 1077-1080.
21. S. A. Martucci and R. M. Mersereau, "The symmetric convolution approach to the nonexpansive implementation of FIR filter banks for images," Proc. ICASSP, 1993.
22. P. Moulin, "A multiscale relaxation algorithm for SNR maximization in nonorthogonal subband coding," IEEE Trans. Image Processing, vol. 4, no. 9, Sept. 1995.
23. K. Ramachandra and M. Vetterli, "Best wavelet packet bases in a rate-distortion sense," IEEE Trans. Image Processing, vol. 2, pp. 160-175, Apr. 1993.
24. E. L. Schwartz, A. Zandi, and M. Boliek, "Implementation of compression with reversible embedded wavelets," in Proc. SPIE 40th Ann. Meet., 1995, pp. 2564-2604.
25. J. M. Shapiro, "Embedded image coding using zerotrees of wavelet coefficients," IEEE Trans. Signal Processing, vol. 41, pp. 3445-3462, Dec. 1993.
26. E. P. Simoncelli, W. T. Freeman, E. H. Adelson, and D. J. Heeger, "Shiftable multiscale transforms," IEEE Trans. Inform. Theory, vol. 38, pp. 587-607, Mar. 1992.
27. M. J. T. Smith and S. L. Eddins, "Analysis/synthesis techniques for subband image coding," IEEE Trans. Signal Processing, vol. 38, pp. 1446-1456, Aug. 1990.
28. A. K. Soman and P. P. Vaidyanathan, "Coding gain in paraunitary analysis/systhesis systems," IEEE Trans. Signal Processing, vol. 41, no. 5, May 1993.
29. P. Sriram and M. W. Marcellin, "Image coding using wavelet transforms and entropy-constrained trellis-coded quantization," IEEE Trans. Image Processing, vol. 4, pp. 725-733, June 1995.
30. G. Strang, "Wavelets and dilation equations: A brief introduction," SIAM Rev., vol. 31, pp. 614-627, Dec. 1989.
31. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1993.
32. J. D. Villasenor, B. Belzer, and J. Liao, "Wavelet filter evaluation for image compression," IEEE Trans. Image Processing, vol. 4, pp. 1053-1060, Aug. 1995.
33. G. G. Walter, "Translation and dilation invariance in orthogonal wavelets," Appl. Computat. Harmon. Anal., vol. 1, pp. 344-349, 1994.
34. Xiong, C. Herley, K. Ramachandran, and M. T. Orchard, "Space-frequency quantization for a space varying wavelet packet image coder," in Proc. IEEE Int. Conf. Image Processing, 1995.