A class of multiresolution stochastic models generating self-affine images

IEEE Transactions on Signal Processing

Volumn 47, Issue 6, 1999, Pages 1739-1742

  Wohlberg, Brandt ^a,b   De Jager, Gerhard ^a,b  

^a UNIVERSITY OF CAPE TOWN   (South Africa)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Fractals; Higher order statistics; Image coding; Signal models; Stochastic; Wavelet transforms

Indexed keywords

FRACTALS; IMAGE CODING; MATHEMATICAL MODELS; RANDOM PROCESSES; STATISTICS; WAVELET TRANSFORMS;

HIGHER ORDER STATISTICS; MULTIRESOLUTION STOCHASTIC MODEL; SIGNAL MODELS;

IMAGE COMPRESSION;

EID: 0032624653     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.765153     Document Type: Article

References (13)

1. Y. FisherEd., Fractal Image Compression: Theory and Application. New York: Springer-Verlag, 1995.
2. G. M. Davis"A wavelet-based analysis of fractal image compression," IEEE Trans. Image Processing, vol. 7, pp. 141-154, Feb. 1998.
3. A. Gersho and R. M. GrayVector Quantization and Signal Compression. Boston, MA: Kluwer, 1992.
4. B. WohlbergFractal Image Compression and the Self-Affinity Assumption: A Stochastic Signal Modeling Perspective, Ph.D. dissertation, University of Cape Town, Cape Town, South Africa, Aug. 1996.
5. N. S. Jayant and P. NollDigital Coding of Waveforms. Englewood Cliffs, NJ: Prentice-Hall, 1984.
6. M. BassevilleA. Benveniste, K. C. Chou, S. A. Golden, R. Nikoukhah, and A. S. Willsky, "Modeling and estimation of multiresolution stochastic processes," IEEE Trans. Inform. Theory, vol. 38, pp. 766-784, Mar. 1992.
7. M. AntoniniM. Barlaud, P. Mathieu, and I. Daubechies, "Image coding using wavelet transform," IEEE Trans. Image Processing, vol. 2, pp. 205-220, Apr. 1992.
8. P. Flandrin"Wavelet analysis and synthesis of fractional Brownian motion," IEEE Trans. Inform. Theory, vol. 38, pp. 910-917, Mar. 1992.
9. R. Rinaldo and G. Calvagno"Image coding by block prediction of multiresolution subimages," IEEE Trans. Image Processing, vol. 4, pp. 909-920, July 1995.
10. J. M. Mendel"Tutorial on higher-order statistics (spectra) in signal processing and system theory: Theoretical results and some applications," Proc. IEEE, vol. 79, pp. 278-305, Mar. 1991.
11. R. W. Buccigrossi and E. P. Simoncelli"Progressive wavelet image coding based on a conditional probability model," in Proc. ICASSP, Munich, Germany, Apr. 1997, vol. 4, pp. 2597-2600.
12. J. M. Shapiro"Embedded image coding using zerotrees of wavelet coefficients," IEEE Trans. Signal Processing, vol. 41, pp. 3445-3462, Dec. 1993.
13. B. Wohlberg and G. de Jager"A review of the fractal image coding literature," IEEE Trans. Image Processing, to be published.