Fast algorithm for generating long self-affine profiles

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 65, Issue 3, 2002, Pages

  Simonsen, Ingve ^a,b   Hansen, Alex ^b,c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^c UNIVERSITY OF BRASILIA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER FILTERING ALGORITHMS (FFA); HURST EXPONENT; SELF-AFFINE PROFILES; WAVELET COEFFICIENTS;

BROWNIAN MOVEMENT; CORRELATION METHODS; FOURIER TRANSFORMS; FUNCTIONS; REGRESSION ANALYSIS; WAVELET TRANSFORMS;

ALGORITHMS;

EID: 41349104829     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.037701     Document Type: Article

References (17)

1. J. Feder, Fractals (Plenum, New York, 1988).
2. A.L. Barabasi and H.E. Stanley, Fractal Growth Models (Cambridge University Press, Cambridge, 1995).
3. P. Meakin, Phys. Rep. 235, 189 (1993).
4. P. Meakin, Fractals, Scaling, and Growth far from Equilibrium (Cambridge University Press, Cambridge, 1998).
5. B.B. Mandelbrot, D.E. Passoja, and A.J. Paullay, Nature (London) 308, 721 (1984).
6. E. Bouchaud and J.P. Bouchaud, Phys. Rev. B 50, 17 752 (1994).
7. H. Auradou, K.J. Måløy, J. Schmittbuhl, A. Hansen, and D. Bideau, Phys. Rev. E 60, 7224 (1999).
8. C.K. Peng, S. Havlin, M. Schwartz, and H.E. Stanley, Phys. Rev. A 44, 2239 (1991).
9. S. Prakash, S. Havlin, M. Schwartz, and H.E. Stanley, Phys. Rev. A 46, R1724 (1992).
10. H.A. Makse, S. Havlin, M. Schwartz, and H.E. Stanley, Phys. Rev. E 53, 5445 (1996).
11. W.H. Press, S.A. Teukolsky, W.T. Vetterling and B.P. Flannery, Numerical Recipes, 2nd ed. (Cambridge University Press, Cambridge, 1992).
12. I. Daubechies, Ten Lectures on Wavelets (SIAM, Philadelphia, 1992).
13. S.G. Mallat, A Wavelet Tour of Signal Processing (Academic Press, New York, 1998).
14. A.R. Mehrabi, H. Rassamdana, and M. Sahimi, Phys. Rev. E 56, 712 (1997).
15. I. Simonsen, A. Hansen, and O.M. Nes, Phys. Rev. E 58, 2779 (1998).
16. I. Simonsen (unpublished).
17. S.G. Mallat, IEEE Trans. Pattern Anal. Mach. Intell. 11, 674 (1989).