Fractal analysis of retinal vascular tree: Segmentation and estimation methods;Análise fractal da vasculatura retínica: Métodos de segmentação e de cálculo dimensional

Arquivos Brasileiros de Oftalmologia

Volumn 70, Issue 3, 2007, Pages 413-422

  de Melo de Mendonça, Marcelo Bezerra ^a,d   de Amorim Garcia, Carlos Alexandre ^a   de Albuquerque Nogueira, Romildo ^a   Andreade Filgueira Gomes, Marcelo ^b   Morais Valença, Marcelo ^b   Oréfice, Fernando ^c  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO NORTE   (Brazil)

^b FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

^c FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

^d Universidade Federal de Minas Gerais ^*  (Brazil)

Author keywords

Biometry; Diagnostix techniques and procedures; Fractals; Retina Blood supply

Indexed keywords

EID: 37449025148     PISSN: 00042749     EISSN: 16782925     Source Type: Journal    
DOI: 10.1590/s0004-27492007000300006     Document Type: Article

References (39)

1. Mandelbrot BB. Tbe fractal geometry of nature. New York: WH Freeman; 1982.
2. Bassingthwaighte JB, Liebovitch LS, West BJ. Fractal physiology. New York: Oxford University Press; 1994.
3. Iannaccone PM, Khokha MK. Fractal geometry in biological systems: an analytical approach. Boca Raton, FL: CRC Press; 1996.
4. Peitgen H-O, Richter PH. The beauty of fractals: images of complex dynamical systems. Berlin; New York: Springer-Verlag; 1986.
5. Mandelbrot B. Objectos fractais, forma, acaso e dimensão seguido de panorama da linguagem fractal. Lisboa: Gradiva; 1991.
6. Kaandorp JA. Fractal modelling: growth and form in biology. Berlin: Springer-Verlag; 1994.
7. West BJ. Fractal physiology and chaos in medicine. Singapore; New Jersey: World Scientific; 1990.
8. Sandau K, Kurz H. Measuring fractal dimension and complexity - an alternative approach with an application. J Microsc. 1997;186(Pt 2):164-76.
9. Avakian A, Kalina RE, Sage EH, Rambhia AH, Elliott KE, Chuang EL, et al. Fractal analysis of region-based vascular change in the normal and non-proliferative diabetic retina. Curr Eye Res. 2002;24(4):274-80.
10. Daxer A. Characterisation of the neovascularisation process in diabetic retinopathy by means of fractal geometry: diagnostic implications. Graefes Arch Clin Exp Ophthalmol. 1993;231(12):681-6.
11. Daxer A. The fractal geometry of proliferative diabetic retinopathy: implications for the diagnosis and the process of retinal vasculogenesis. Curr Eye Res. 1993;12(12):1103-9.
12. Daxer A. Mechanisms in retinal vasculogenesis: an analysis of the spatial branching site correlation. Curr Eye Res. 1995;14(4):251-4.
13. Family F, Masters BR, Platt DE. Fractal pattern formation in human retinal vessels. Physics D. 1989;38:98-103.
14. Landini G, Misson GP, Murray PI. Fractal analysis of the normal human retinal fluorescein angiogram. Curr Eye Res. 1993;12(1):23-7.
15. Landini G, Murray PI, Misson GP. Local connected fractal dimensions and lacunarity analyses of 60 degrees fluorescein angiograms. Invest Ophthalmol Vis Sci. 1995;36(13):2749-55.
16. Masters BR. Fractal analysis of the vascular tree in the human retina. Annu Rev Biomed Eng. 2004;6:427-52.
17. Mainster MA. The fractal properties of retinal vessels: embryological and clinical implications. Eye. 1990;4(Pt 1):235-41.
18. Sinthanayothin C, Boyce JF, Williamson TH, Cook HL, Mensah E, Lal S, Usher D. Automated detection of diabetic retinopathy on digital fundus images. Diabet Med. 2002;19(2):105-12.
19. Teng T, Lefley M, Claremont D. Progress towards automated diabetic ocular screening: a review of image analysis and intelligent systems for diabetic retinopatty. Med Biol Eng Comput. 2002;40(1):2-13.
20. Usher D, Dumskyj M, Himaga M, Williamson TH, Nussey S, Boyce J. Automated detection of diabetic retinopathy in digital retinal images: a tool for diabetic retinopathy screening. Diabet Med. 2004;21(1):84-90.
21. Walter T, Klein JC, Massin P, Erginay A. A contribution of image processing to the diagnosis of diabetic retinopathy - detection of exudates in color fundus images of the human retina. IEEE Trans Med Imaging. 2002;21(10):1236-43.
22. Frame AJ, Undrill PE, Cree MJ, Olson JA, McHardy KC, Sharp PF, Forrester JV. A comparison of computer based classification methods applied to the detection of microaneurysms in ophthalmic fluorescein angiograms. Comput Biol Med. 1998;28(3):225-38.
23. Jiang X, Mojon D. Adaptive local thresholding by verification-based multithreshold probing with application to vessel detection in retinal images. IEEE Trans Pattern Anal Mach Intell. 2003;25(1):131-7.
24. Niemeijer MS, Staal J, van Ginneken B, Long M, Abramoff MD. Comparative study of retinal vessel segmentation methods on a new publicly available database. SPIE Med Imaging. 2004;5370:648-56.
25. Martínez-Pérez M, Hughes A, Stanton A, Thom S, Bharath A, Parker D. Scale-space analysis for the characterisation of retinal blood vessels. In: Taylor C, Colchester A, editors. Medical Image Computing and Computer-Assisted Intervention - MICCAI'99. 1999. pp.90-7.
26. Staal J, Abramoff MD, Niemeijer M, Viergever MA, van Ginneken B. Ridge-based vessel segmentation in color images of the terms. IEEE Trans Med Imaging. 2004;23(4):501-9.
27. Zana F, Kein JC. Segmentation of vessel-like patterns using mathematical morphology and curvature evaluation. IEEE Trans Image Process. 2001;10: 1010-9
28. Chaudburi S, Chatterjee S, Katz N, Nelson M, Goldbaum M. Detection of blood vessels in retinal images using two-dimensional matched filters. IEEE Trans Med Imaging. 1989;8(3):263-9.
29. Soares JV, Leandro JJ, Cesar Junior RM, Jelinek HF, Cree MJ. Retinal vessel segmentation using the 2-D Gabor wavelet and supervised classification. IEEE Trans Med Imaging. 2006;25(9):1214-22.
30. Zar JH. Biostatistical analysis. 4ht ed. Upper Saddle River, N.J.: Prentice Hall, c1999.
31. Kirbas C, Quek F. A review of vessel extraction techniques and algorithms. ACM Comput Surv (CSUR). 2004;36(2):81-121.
32. Falconer K. Fractal geometry: mathematical foundations and applications. 2nd ed. West Sussex; New York: Wiley; c2003.
33. Ryan SJ. Retina. 2nd ed. St. Louis: Mosby; 1994.
34. Wise GN, Dollery CT, Henkind P. The retinal circulation. New York: Harper & Row; 1971.
35. Stosic T, Stosik BD. Multifractal analysis of human retinal vessels. IEEE Trans Med Imaging. 2006;25(8):1101-7.
36. Zamir M. Fractal dimensions and multifractility in vascular branching. J Theor Biol. 2001;212(2):183-90.
37. Alezzandrini AA, Nicoli C. [Retinography with fluorescein]. Arch Oftalmol B Aires. 1965;40(11):363-82. Spanish.
38. Al Sabti K, Raizada S, Wani VB, Al Ajmi M, Gayed I, Sugathan TN. Efficacy and reliability of fundus digital camera as a screening tool for diabetic retinopathy in Kuwait. J Diabetes Complications. 2003;17(4):229-33.
39. Yannuzzi LA, Guyer DR, Green WR. The retina atlas. St. Louis: Mosby; 1995.