Wavelet based estimation of the fractal dimension in fBm images

International IEEE/EMBS Conference on Neural Engineering, NER

Volumn 2003-January, Issue , 2003, Pages 533-536

  Parra, Carlos ^a   Iftekharuddin, Khan ^a   Rendon, David ^a  

^a University of Memphis   (United States)

Author keywords

Biomedical imaging; Brownian motion; Fractals; Mathematical model; Neoplasms; Signal analysis; Signal processing; Testing; Tomography; Wavelet analysis

Indexed keywords

BROWNIAN MOVEMENT; FINITE DIFFERENCE METHOD; FRACTAL DIMENSION; IMAGE PROCESSING; MATHEMATICAL MODELS; MEDICAL IMAGING; SIGNAL ANALYSIS; SIGNAL PROCESSING; TESTING; TOMOGRAPHY; TUMORS; WAVELET ANALYSIS;

BIOMEDICAL IMAGING; FRACTIONAL BROWNIAN MOTION; NEOPLASMS; NONSTATIONARY PROCESS; PHYSICAL PHENOMENA; SPECTRAL CHARACTERISTICS; STATISTICAL PROPERTIES; TWO-DIMENSIONAL SIGNALS;

FRACTALS;

EID: 84942611020     PISSN: 19483546     EISSN: 19483554     Source Type: Conference Proceeding    
DOI: 10.1109/CNE.2003.1196881     Document Type: Conference Paper

References (12)

1. MANDELBROT, B. B. VAN NESS, J. W. Fractional Brownian motions, fractional noises and applications. SIAM Review, Volume: 10 Issue: 4 , Oct. 1968. Page(s): 422-437.
2. MANDELBROT, B. B. The fractal geometry of nature. San Francisco: W.H. Freeman, c1982.
3. TEWFIK, A.H.: KIM, M. Correlation structure of the discrete wavelet coefficients of fractional Brownian motion. Information Theory, IEEE Transactions on , Volume: 38 Issue: 2 Part: 2 , March 1992. Page(s): 904-909
4. PEITGEN H-O, SAUPE, D., editors. BARNSLEY M. F. et al. The Science of Fractal Images. New York: Springer-Verlag. 1987. Page(s): 64
5. FLANDRIN, P. On the spectrum of fractional Brownian motions. Information Theory, IEEE Transactions on , Volume: 35 Issue: 1 , Jan. 1989. Page(s): 197-199
6. FLANDRIN, P. Wavelet analysis and synthesis of fractional Brownian motion. Information Theory, IEEE Transactions on , Volume: 38 Issue: 2 Part: 2 , March 1992. Page(s): 910 -917
7. MALLAT S.G. A theory for multiresolution signal decomposition: the wavelet representation. Pattern Analysis and Machine Intelligence, IEEE Transactions on, Volume: 11 Issue: 7 , July 1989. Page(s): 674 -693
8. MALLAT S.G. A Wavelet Tour of Signal Processing. San Diego: Academic Press. 1998
9. HENEGHAN, C.; LOWEN, S.B.; TEICH, M.C. Two-dimensional fractional Brownian motion: wavelet analysis and synthesis. Image Analysis and Interpretation, 1996. Proceedings of the IEEE Southwest Symposium on, 1996. Page(s): 213 -217
10. WORNELL, G.W. Wavelet-Based Representations for the I/f family of Fractal Processes. Proceedings of the IEEE, Volume: 81 Issue: 10, October 1993. Page(s): 1428 -1450
11. PEYRIN, F.; RATTON, L.; ZEGADI, N.; MOUHAMED, S.; YI DING. Evaluation of the fractal dimension of an image using the wavelet transform : comparison with a standard method. Proceedings of the IEEE-SP International Symposium on, 1994. Page(s): 244 -247
12. GOSWAMI J. C., CHAN A. K. Fundamentals of Wavelets : Theory, Algorithms, and Applications. New York: John Wiley & Sons. 1994. Page(s): 229