Fractal analysis of lyotropic lamellar liquid crystal textures

Physica A: Statistical Mechanics and its Applications

Volumn 323, Issue , 2003, Pages 107-123

  Muniandy, S V ^a   Kan, C S ^a   Lim, S C ^a   Radiman, S ^a  

^a UNIVERSITI KEBANGSAAN MALAYSIA   (Malaysia)

Author keywords

Fractals; Liquid crystals; Self similar processes; Textures

Indexed keywords

BIREFRINGENCE; FRACTALS; MORPHOLOGY; TEXTURES; WATER;

MOLECULAR ORDERING;

LIQUID CRYSTALS;

EID: 0038136803     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(03)00026-8     Document Type: Article

References (39)

1. Saucier A., Muller J. Physica A. 267:1999;221.
2. Mandelbrot B.B. The Fractal Geometry of Nature. 1982;Freeman, New York.
3. Davies S., Hall P. J. Roy. Statist. Soc. B. 61(1):1999;3.
4. Pentland A.P. IEEE Trans. Pattern Anal. Mach. Intell. 6:1984;661.
5. Osman D., Newitt D., Gies A., Budinger T., Truong V.H., Majumdar S., Kinney J. Fractals. 6:1998;275.
6. Barabasi A.L., Stanley H.E. Fractal Concepts in Surface Growth. 1995;Cambridge University Press, Cambridge.
7. Zahn W., Zosch A. Fresenius J. Anal. Chem. 365:1997;119.
8. Chandrasekhar S. Liquid Crystals. 1992;Cambridge University Press, Cambridge.
9. de Gennes P.G. The Physics of Liquid Crystal. 1993;Clarendon Press, Oxford.
10. Boltenhagen P., Lavrentovich O.D., Kleman M. J. Phy. II Fr. 1:1991;1233.
11. Tuceryan M., Jain A.K. Handbook of Pattern Recognition and Computer Vision. 1993;World Scientific, Singapore.
12. Demus D., Richter L. Texture of Liquid Crystals. 1978;Verlag Chemie, New York.
13. Mandelbrot B.B., van Ness J. SIAM Rev. 10:1968;422.
14. Kaplan L.M., Kuo C.C.J. IEEE Trans. Image Process. 5:1996;754.
15. Qian H., Raymond G.M., Bassingthwaighte J.B. J. Phys. A. 31:1998;L527.
16. Flandrin P. Time-Frequency/Time-Scale Analysis. 1998;Academic Press, San Diego.
17. Flandrin P. IEEE Trans. Inform. Theory. 35:1989;197.
18. Passoja D.E., Psioda D. Gilbertson L.N., Zipp R.D. Fractography and Materials Science. 1981;American Society for Testing and Materials, Philadelphia.
19. Chan G., Hall P., Poskitt D.S. Ann. Statist. 23:1995;1995.
20. Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P. Numerical Recipes in Fortran: The Art of Scientific Computing. 1992;Cambridge University Press, Cambridge.
21. Hentschel H.G.R., Procaccia I. Physica D. 8:1983;435.
22. Muller J. J. Hydrol. 187:1996;215.
23. Chen Z.W., Wang X.P., Tan S., Zhang S.Y., Hou J.G., Wu Z.Q. Phys. Rev. E. 63:2001;165 413.
24. McGaughey D.R., Aitken G.J.M. Physica A. 311:2002;369.
25. Jennane R., Ohley W.J., Majumdar S., Lemineur G. IEEE Trans. Med. Imaging. 20:2001;443.
26. Ilow J., Leung H. IEEE Trans. Image Process. 10:2001;792.
27. Lam N.S.N., Lee D.C. Fractals in Geography. 1993;Prentice-Hall, Englewood Cliffs, NJ.
28. R. Peltier, J. Levy-Vehel, INRIA Research Report, 2645, 1995.
29. Benassi A., Jaffard S., Roux D. Rev. Mat. Iberoamericana. 13:1997;19.
30. B. Pesquet-Popescu, J. Levy-Vehel, ENST preprint, 2002.
31. E. Herbin, INRIA preprint, 2002.
32. http://www-rocq.inria.fr/fractales/Software/FRACLAB/fraclab.html.
33. Tezak D., Martinis M., Puncec S., Fischer-Palkovic I., Strajnar F. Liq. Cryst. 19(2):1995;159.
34. Kleman M., Williams C.E. Philos. Mag. 35(1):1977;33.
35. Friedel G. Ann. Phys. Paris. 2:1992;273.
36. Warriner H.E., Idziak S.H.J., Slack N.L., Davidson P., Safinya C.R. Science. 271:1996;969.
37. Vicsek M., Vicsek T. Fractal Growth. 1992;World Scientific, Singapore.
38. Newell A.C., Passot T., Lega J. Annu. Rev. Fluid Mech. 25:1993;399.
39. Bowman C., Ercolani N., Indik R., C. Newell Alan, Passot T. Physica D. 123:1998;474.