Fractal and multifractal analysis of human retinal vascular network: A review

Human and Veterinary Medicine

Volumn 3, Issue 3, 2011, Pages 205-212

  Ţǎlu, Ştefan ^a   Giovanzana, Stefano ^b  

^a TECHNICAL UNIVERSITY OF CLUJ NAPOCA   (Romania)

^b UNIVERSITY OF MILANO BICOCCA   (Italy)

Author keywords

Fractal and multifractal analysis; Fractal dimension; Retina; Retinal microcirculation

Indexed keywords

EID: 84860234917     PISSN: 20667655     EISSN: 20667663     Source Type: Journal    
DOI: None     Document Type: Review

References (37)

1. Abramoff M. D., Garvin M. K., Sonka M., 2010 Retinal imaging and image analysis, IEEE Trans Med Imaging 3:169-208.
2. Al-Rawi M., Karajeh H., 2007 Genetic algorithm matched filter optimization for automated detection of blood vessels from digital retinal images. Comput Methods Programs Biomed 87(3):248-253.
3. Antonetti D. A., Barber A. J., Bronson S. K., Freeman W. M., Gardner T. W., Jefferson L. S., et al, 2006 Diabetic retinopathy: seeing beyond glucose-induced microvascular disease. Diabetes 55(9):2401-2411.
4. Avakian A., Kalina R. E., Sage E. H., Rambhia A. H., Elliott K. E., Chuang E. L., et al, 2002 Fractal analysis of region-based vascular change in the normal and nonproliferative diabetic retina. Curr Eye Res 24(4):274-280.
5. Azemin M. Z., Kumar D. K., Wong T. Y., Kawasaki R., Mitchell P., Wang J. J., 2011 Robust methodology for fractal analysis of the retinal vasculature. IEEE Trans Med Imaging 30(2):243-250.
6. Cheung N., Liew G., Lindley R. I., Liu E. Y., Wang J. J., Hand P., et al, 2010 Retinal fractals and acute lacunar stroke. Ann Neurol 68(1):107-111.
7. Falconer K., 2003 Fractal Geometry: Mathematical Foundations and Applications, 2nd Edition, John Wiley & Sons Ltd.
8. Family F., Masters B. R., Platt D. E., 1989 Fractal pattern formation in human retinal vessels. Physica D 38:98-103.
9. Family F., Masters B. R., Platt D. E., 1989 Fractal pattern formation in human retinal vessels. Physica D 38:98-103.
10. Gould D. J., Vadakkan T. J., Poché R. A., Dickinson M. E., 2011 Multifractal and lacunarity analysis of microvascular morphology and remodeling. Microcirculation 18(2):136-151.
11. Grauslund J., Green A., Kawasaki R., Hodgson L., Sjolie A. K., Wong T. Y., 2010 Retinal vascular fractals and microvascular and macrovascular complications in type 1 diabetes. Ophthalmology 117:1400-1405.
12. Grizzi F., Fiamengo B., Chiriva-Internati M., Muzzio P. C., 2005 Estimate of neovascular tree complexity by microscopy analysis. Current Issues on Multidisciplinary Microscopy Research and Education, pp. 140-148, Ed. Formatex, Spain.
13. Holz F. G., Spaide R. F. (Eds.), 2010 Medical Retina. Focus on Retinal Imaging, Springer-Verlag, Berlin, Heidelberg, Germany.
14. Hubbard L. D., Brothers R. J., King W. N., Clegg L. X., Klein R., Cooper L. S., et al, 1999 Methods for evaluation of retinal microvascular abnormalities associated with hypertension/sclerosis in the Atherosclerosis Risk in Communities Study. Ophthalmology 106(12):2269-2280.
15. Hughes A. D., Martinez-Perez E., Jabbar A. S., Hassan A., Witt N. W., Mistry P. D., et al, 2006 Quantification of topological changes in retinal vascular architecture in essential and malignant hypertension. J Hypertens 24:889-894.
16. Jelinek H., Mendonça M. B., Oréfice F., Garcia C., Nogueira R., Soares J., Junior R., 2010 Fractal analysis of the normal human retinal vasculature. The Internet Journal of Ophthalmology and Visual Science 8(2).
17. Kunicki A. C., Oliveira A. J., Mendonça M. B., Barbosa C. T., Nogueira R. A., 2009 Can the fractal dimension be applied for the early diagnosis of non-proliferative diabetic retinopathy? Braz J Med Biol Res 42(10):930-934.
18. Kyriacos S., Nekka F., Vicco P., Cartilier L., 1997 The retinal vasculature: towards an understanding of the formation process. In: Vehel L. J., Lutton E., Tricot G. (Eds.), Fractals in Engineering - From Theory to Industrial Applications, pp. 383-397, Springer.
19. Liew G., Wang J. J., Mitchell P., Wong T. Y., 2008 Retinal vascular imaging: a new tool in microvascular disease research. Circ Cardiovasc Imaging 1(2):156-161.
20. Lim S. W., Cheung N., Wang J. J., Donaghue K. C., Liew G., Islam F. M., et al, 2009 Retinal vascular fractal dimension and risk of early diabetic retinopathy: A prospective study of children and adolescents with type 1 diabetes. Diabetes Care 32(11):2081-2083.
21. Lopes R., Betrouni N., 2009 Fractal and multifractal analysis: A review. Medical Image Analysis 13:634-649.
22. Losa G. A., Merlini D., Nonnenmacher T. F., Weibel E. (eds.), 2005 Fractals in Biology and Medicine, Vol. IV. Mathematics and Biosciences in Interaction. Birkhäuser Verlag, Basel, Switzerland.
23. Mandelbrot B. B., 1982 The Fractal Geometry of Nature, Freeman W. H., San Francisco, USA.
24. Masters B. R., 2004 Fractal analysis of the vascular tree in the human retina. Annu Rev Biomed Eng 6:427-452.
25. Niemeijer M., Staal J. J., van Ginneken B., Loog M., Abramoff M. D., 2004 Comparative study of retinal vessel segmentation methods on a new publicly available database, SPIE Medical Imaging, Editor(s): J. Michael Fitzpatrick, M. Sonka, SPIE, vol. 5370, pp. 648-656.
26. Nilsson E., 2007 Master's Thesis: Multifractal-based Image Analysis with applications in Medical Imaging, Umea University, Sweden.
27. Patton N., Aslam T. M., MacGillivray T., Deary I. J., Dhillon B., Eikelboom R. H., et al, 2006 Retinal image analysis: concepts, applications and potential. Prog Retin Eye Res 25(1):99-127.
28. Reljin I. S., Reljin B. D., 2002 Fractal geometry and multifractals in analyzing and processing medical data and images. Archive of Oncology 10(4):283-293.
29. Salem S. A., Salem N. M., Nandi A. K., 2007 Segmentation of retinal blood vessels using a novel clustering algorithm (RACAL) with a partial supervision strategy. Medical and Biological Engineering and Computing 45(3):261-273.
30. Staal J. J., Abramoff M. D., Niemeijer M., Viergever M. A., van Ginneken B., 2004 Ridgebased vessel segmentation in color images of the retina. IEEE Trans Med Imaging 23(4):501-509.
31. Stosic T., Stosic B., 2006 Multifractal analysis of human retinal vessels, IEEE Trans Med Imaging 25(8):1101-1107.
32. Ţǎlu S. D., 2005 Ophtalmologie - Cours, Medical publishing house "Iuliu Haţieganu", Cluj-Napoca, Romania.
33. Ţǎlu S. D., 2005 Ophtalmologie - Travaux pratiques, Medical publishing house "Iuliu Haţieganu", Cluj-Napoca, Romania.
34. Ţǎlu Ş., Baltǎ F., Ţǎlu S. D., Merticariu A., Ţǎlu M., Fourier Domain - Optical Coherence Tomography in diagnosing and monitoring of retinal diseases. IFMBE Proceedings MEDITECH 2009, Cluj-Napoca, Romania, 26:261-266.
35. Ţǎlu Ş., Ţǎlu M., Giovanzana S., Shah R., 2011 The history and use of optical coherence tomography in ophthalmology. HVM Bioflux 3(1):29-32.
36. Walter T., Klein J. C., 2005 Automatic analysis of color fundus photographs and its application to the diagnosis of diabetic retinopathy. In: Suri S. J., Wilson D. L., Laxminarayan L.: Handbook of biomedical image analysis, Vol. II: Segmentation models, Part B, Chapter 7, pp. 315-368, Kluwer Academic/ Plenum Publishers, New York.
37. ****http://www.isi.uu.nl/Research/Databases/DRIV E/