A method to Fourier filter textured images

Chaos

Volumn 10, Issue 1, 2000, Pages 240-247

  Hoffman, David K ^a   Gunaratne, Gemunu H ^b,c   Zhang, D S ^b   Kouri, Donald J ^b  

^a IOWA STATE UNIVERSITY   (United States)

^b University of Houston   (United States)

^c INSTITUTE OF FUNDAMENTAL STUDIES   (Sri Lanka)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034147936     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166490     Document Type: Article

References (41)

1. G. R. Cross and A. K. Jain, IEEE Trans. Pattern. Anal. Mach Intell. PAMI-5, 25 (1983).
2. R. Chellappa and S. Chatterjee, IEEE Trans. Acoust., Speech, Signal Process. ASSP-33, 959 (1985).
3. H. Derin and H. Elliot, IEEE Trans. Pattern. Anal. Mach. Intell. PAMI-9, 39 (1987).
4. I. M. Elfadel and R. W. Picard, IEEE Trans. Pattern. Anal. Mach. Intell. 16, 24 (1994).
5. B. Julesz, Sci. Am. 232, 34 (1975).
6. B. Julesz, E. N. Gilbert, and J. D. Victor, Biol. Cybern. 31, 137 (1978).
7. T. Caelli and B. Julesz, J. Opt. Soc. Am. 69, 675 (1979).
8. A. Gagalowicz, IEEE Trans. Pattern. Anal. Mach. Intell. 3, 520 (1981).
9. N. Ahuja, "Mosaic models for textures," in Image Modeling, edited by A. Rosenfeld (Academic, New York, 1981).
10. N. Ahuja and A. Rosenfeld, IEEE Trans. Pattern. Anal. Mach. Intell. 3, 1 (1981).
11. N. Ahuja, T. Dubitzki, and A. Rosenfeld, IEEE Trans. Syst. Man Cybern. SMC-10, 744 (1980).
12. T.-I. Hsu and R. Wilson, IEEE Trans. Image Process. 7, 1057 (1998).
13. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
14. M. Seul and D. Andelman, Science 267, 476 (1995).
15. M. S. Heutmaker and J. P. Gollub, Phys. Rev. A 35, 242 (1987).
16. Q. Ouyang and H. L. Swinney, Chaos 1, 411 (1991).
17. R. E. Rosensweig, J. Magn. Magn. Mater. 39, 127 (1983).
18. F. Melo, P. Umbanhower, and H. L. Swinney, Phys. Rev. Lett. 72, 172 (1993).
19. K. R. Elder, J. Viñals, and M. Grant, Phys. Rev. A 46, 7618 (1990).
20. Q. Hou, S. Sasa, and N. Goldenfeld, Physica A 239, 219 (1997).
21. G. H. Gunaratne, R. E. Jones, Q. Ouyang, and H. L. Swinney, Phys. Rev. Lett. 75, 3281 (1995).
22. G. H. Gunaratne, D. K. Hoffman, and D. J. Kouri, Phys. Rev. E 57, 5146 (1998).
23. C. Bizon, M. D. Shattuck, J. B. Swift, W. D. McCormick, and H. L. Swinney, Phys. Rev. Lett. 80, 57 (1998).
24. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vettering, Numerical Recipes - The Art of Scientific Computing (Cambridge University Press, Cambridge, 1988).
25. D. K. Hoffman, M. Arnold, and D. J. Kouri, J. Chem. Phys. 96, 6539 (1992).
26. D. K. Hoffman, T. L. Marchioro, M. Arnold, Y. Huang, W. Zhu, and D. J. Kouri, J. Math. Chem. 20, 117 (1996).
27. D. K. Hoffman and D. J. Kouri, Proceeding of the 3rd International Conference on Mathematical and Numerical Aspects of Wave Propagation (SIAM, Philadelphia, 1995), pp. 56-83.
28. The University of Houston has applied for a provisional patent based on the image processing technique described.
29. W. Zhu, Y. Huang, G. A. Parker, D. J. Kouri, and D. K. Hoffman, J. Chem. Phys. 98, 12,516 (1994).
30. The requirements for the "interior subset" will become apparent during the discussion.
31. A. M. Frishman, D. K. Hoffman, R. J. Rakaukas, and D. J. Kouri, Chem. Phys. Lett. 252, 62 (1996).
32. max}.
33. This is not true for very small values of σ unless the truncations of the series in Eq. (3) is taken to be sufficiently large.
34. J. Swift and P. C. Hohenberg, Phys. Rev. A 15, 319 (1977).
35. P. Perona and J. Malik, IEEE Trans. Pattern. Anal. Mach. Intell. 12, 629 (1990).
36. Y.-L. You, M. Kaveh, W.-Y. Xu, and T. Tennenbaum, IEEE Proceedings of the 1st International Conference on Image Processing, Austin, TX, 1994, pp. 497-501.
37. F. Torkamani-Azar and K. E. Tait, IEEE Trans. Image Process. 5, 1573 (1996).
38. J. C. Dainty, Laser Speckle and Related Phenomena (Springer-Verlag, Berlin, 1984).
39. R. E. Jones and G. H. Gunaratne, J. Stat. Phys. 93, 427 (1998).
40. D. Goldman, G. H. Gunaratne, D. K. Hoffman, D. J. Kouri, M. Shattuck, and H. L. Swinney, in preparation.
41. Curvature has been used as a tool for characterizing labyrinthine patterns in Y. Hu, R. Ecke, and G. Ahlers, Phys. Rev. E 51, 3263 (1995). The numerical methods used were significantly more elaborate.