Practical synthesis of accurate fractal images

Graphical Models and Image Processing

Volumn 57, Issue 3, 1995, Pages 206-219

  Stoksik, Marc A ^a   Lane, R G ^a   Nguyen, D T ^a  

^a UNIVERSITY OF TASMANIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOTION; FRACTAL IMAGE; RANDOM MIDPOINT ALGORITHM; WAVELET;

EID: 0028975376     PISSN: 10773169     EISSN: None     Source Type: Journal    
DOI: 10.1006/gmip.1995.1020     Document Type: Article

References (20)

1. H. O. Peitgen and D. Saupe, The Science of Fractal Images, Springer-Verlag, Berlin/New York, 1988.
2. R. G. Lane, A. Glindemann, and J. C. Dainty, Simulation of a Kolmogorov phase screen, Waves Random Media 2, 1992, 209-224.
3. R. J. Noll, Zemike Polynomials and atmospheric turbulence, J. Opt. Soc. Am. 66(3), 1976, 207-211.
4. A. P. Pentland, Fractal-based description of natural scenes, IEEE Trans. Pattern Anal. Mach. Intell. PAMI-6(6), 1984, 661-674.
5. J. M. Keller and S. Chen, Texture description and segmentation through fractal geometry, Comput. Vision Graphic Image Process. 45, 1989, 150-166.
6. C. V. Stewart, B. Moghaddam, K. J. Hintz, and L. M. Novak, Fractional Brownian motion models for synthetic aperture radar imagery scene segmentation, Proc. IEEE 81(10), 1993.
7. T. Lundahi, W. J. Ohley, S. M. May, and R. Siffert, Fractional Brownian motion: A maximum likelihood estimator and its applications to image texture, IEEE Trans. Med. Imaging MI-5(3), 1986, 151-161.
8. P. Flandrin, Wavelet analysis and synthesis of fractional Brownian motion, IEEE Trans. Inform. Theory 38(2), 1992, 910-917.
9. B. B. Mandelbrot, Comment on the computer rendering of fractal stochastic models, Commun. ACM 25, 1982, 581-583.
10. A. R. Murch and R. H. T. Bates, Colored noise generation through deterministic chaos, IEEE Trans. Circuits Syst. 37(5), 1990, 608-613.
11. G. Corsini and R. Saletti, A 1 ify power spectrum noise sequence generator, IEEE Trans. Instrum. Measure. 37(4), 1988, 615-619.
12. N. Roddier, Atmospheric wavefront simulation using Zemike polynomials, Opt. Eng. 29(10), 1990, 1174-1180.
13. B. L. McGlamery. Computer simulation studies of compensation of turbulence degraded images, SP1E/OSA Proc. 74, 1976, 225-233.
14. M. A. Stoksik, R. G. Lane, and D. T. Nguyen, Accurate synthesis of fractional Brownian motion using wavelets, Electron. Lett. 30(5), 1994, 383-384.
15. H. Tewfik and M. Kim, Correlation structure of the discrete wavelet coefficients of fractional Brownian motion, IEEE Trans. Inform. Theory 38(2), 1992, 904-909.
16. S. G. Mailat, A theory for the multiresolution signal decomposition: The wavelet representation, IEEE Trans. Pattern Anal. Mach. In-tell. 11(7), 1989, 674-693.
17. P. C. Millar, Recursive quadrature mirror filters-Criteria specification and design method, IEEE Trans. Acoust. Speech Signal Process. ASSP-33(2), 1985, 413-420.
18. I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF regional conference series in applied mathematics, Vol. 61, SIAM, Philadelphia, 1992.
19. H. Kiya, K. Nishikawa, and M. Iwahashi, A development of symmetric extension method for subband image coding, IEEE Trans. Image Process. 3(1), 1994.
20. A. Papoulis, Signal Processing, pp. 363-368, McGraw-Hill, New York, 1977.