Multifractal geometry in analysis and processing of digital retinal photographs for early diagnosis of human diabetic macular edema

Current Eye Research

Volumn 38, Issue 7, 2013, Pages 781-792

  Ţǎlu, Ştefan ^a  

^a TECHNICAL UNIVERSITY OF CLUJ NAPOCA   (Romania)

Author keywords

Diabetic macular edema; Lacunarity; Multifractals; Retinal image analysis; Retinal microcirculation

Indexed keywords

ADULT; AGED; ARTICLE; CLINICAL ARTICLE; DIABETIC MACULAR EDEMA; DIABETIC RETINOPATHY; EARLY DIAGNOSIS; EYE PHOTOGRAPHY; FRACTAL ANALYSIS; GEOMETRY; HUMAN; MICROCIRCULATION; OPTIC NERVE; PARTITION COEFFICIENT; PRIORITY JOURNAL; RETINA BLOOD VESSEL; RETINA IMAGE; SPECTRUM;

ADULT; AGED; AGED, 80 AND OVER; DIABETIC RETINOPATHY; EARLY DIAGNOSIS; FRACTALS; HUMANS; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGE PROCESSING, COMPUTER-ASSISTED; MACULAR EDEMA; MIDDLE AGED; PREDICTIVE VALUE OF TESTS; RETINAL VESSELS;

EID: 84878517957     PISSN: 02713683     EISSN: 14602202     Source Type: Journal    
DOI: 10.3109/02713683.2013.779722     Document Type: Article

References (48)

1. Cunha-Vaz J. Diabetic retinopathy. Singapore: World Scientific Publishing Co. Pte. Ltd.; 2011
2. Chakrabarti M, Stephen V, John SR, Chakrabarti A. Management strategies in diabetic macular edema. Kerala J Ophthalmol 2009;XXI:7-24
3. Talu S, Talu M, Giovanzana S, Shah R. The history and use of optical coherence tomography in ophthalmology. HVM Bioflux 2011;3:29-32
4. Talu S, Balta F, Talu SD, Merticariu A, Talu M. Fourier domain-optical coherence tomography in diagnosing and monitoring of retinal diseases. IFMBE Proceedings MEDITECH; Cluj-Napoca, Romania; Vol. 26. Heidelberg, Germany: Springer-Verlag GmbH; 2009. pp 261-266
5. Holz FG, Spaide RF, editors. Medical retina. Focus on retinal imaging. Berlin, Heidelberg, Germany: Springer- Verlag; 2010
6. Patton N, Aslam TM, MacGillivray T, Deary IJ, Dhillon B, Eikelboom RH, et al. Retinal image analysis: Concepts, applications and potential. Prog Retin Eye Res 2006;25: 99-127
7. Mandelbrot BB. The fractal geometry of nature. San Francisco (CA): W. H. Freeman; 1982
8. Grizzi F, Chiriva-Internati M. The complexity of anatomical systems. Theor Biol Med Modell 2005;2:26. doi:10.1186/1742-4682-2-26
9. Nailon WH. Texture analysis methods for medical image characterisation. In: Mao Y, editor. Biomedical imaging. Croatia: InTech; 2010. pp 75-100
10. Reljin IS, Reljin BD. Fractal geometry and multifractals in analyzing and processing medical data and images. Arch Oncol 2002;10:283-293
11. Kenkel NC, Walker DJ. Fractals in the biological sciences. Coenoses 1996;11:77-100
12. Losa GA, Merlini D, Nonnenmacher TF, Weibel E, editors. Fractals in biology and medicine. Vol. IV. Mathematics and bioscience in interaction. Basel, Switzerland: Birkhäuser Verlag; 2005
13. Nilsson E. Multifractal-based image analysis with applications in medical imaging [master's thesis]. Sweden: Umea University; 2007
14. Talu S. Mathematical methods used in monofractal and multifractal analysis for the processing of biological and medical data and images. ABAH Bioflux 2012;4:1-4.
15. Talu S. Texture analysis methods for the characterisation of biological and medical images. ELBA Bioflux 2012;4:8-12
16. Sztojánov I, Cris-an DA, Mina CP, Voinea V. Image processing in biology based on the fractal analysis. In: Chen Y-S, editor. Image processing. Croatia: InTech; 2009. pp 323-344
17. Family F, Masters BR, Platt DE. Fractal pattern formation in human retinal vessels. Physica D 1989;38:98-103
18. Lakshminanarayanan V, Raghuram A, Myerson JW, Varadharajan S. The fractal dimension in retinal pathology. J Modern Optics 2003;50:1701-1703
19. Masters BR. Fractal analysis of the vascular tree in the human retina. Annu Rev Biomed Eng 2004;6:427-452
20. Talu S. Fractal analysis of normal retinal vascular network. Oftalmologia 2011;55:11-16
21. Talu S, Giovanzana S. Fractal and multifractal analysis of human retinal vascular network: A review. HVM Bioflux 2011;3:205-212
22. Talu S, Giovanzana S. Image analysis of the normal human retinal vasculature using fractal geometry. HVM Bioflux 2012;4:14-18
23. Liew G, Wang JJ, Cheung N, Zhang YP, Hsu W, Lee ML, et al. The retinal vasculature as a fractal: Methodology, reliability, and relationship to blood pressure. Ophthalmology 2008;115:1951-1956
24. Liew G, Wang JJ, Mitchell P, Wong TY. Retinal vascular imaging: A new tool in microvascular disease research. Circ Cardiovasc Imaging 2008;1:156-161
25. Cheung N, Donaghue KC, Liew G, Rogers SL, Wang JJ, Lim SW, et al. Quantitative assessment of early diabetic retinopathy using fractal analysis. Diabetes Care 2009;32: 106-110
26. Lopes R, Betrouni N. Fractal and multifractal analysis: A review. Med Image Anal 2009;13:634-649
27. Talu S. Mathematical models of human retina. Oftalmologia 2011;55:74-81
28. Kyriacos S, Nekka F, Vicco P, Cartilier L. The retinal vasculature: Towards an understanding of the formation process. In: Vehel LJ, Lutton E, Tricot G, editors. Fractals in engineering-from theory to industrial applications. Germany: Springer; 1997. pp 383-397
29. MacGillivray TJ, Patton N, Doubal FN, Graham C, Wardlaw JM. Fractal analysis of the retinal vascular network in fundus images. Conf Proc IEEE Eng Med Biol Soc 2007;1:6455-6458
30. Perfect E, Tarquis AM, Bird NRA. Accuracy of generalized dimensions estimated from grayscale images using the method of moments. Fractals 2009;17:351-363
31. Wainwright A, Liew G, Burlutsky G, Rochtchina E, Zhang YP, Hsu W, et al. Effect of image quality, color, and format on the measurement of retinal vascular fractal dimension. Invest Ophthalmol Vis Sci 2010;51:5525-5529
32. Jelinek HF, Mendonça MBdM, Ore'fice F, Garcia CAdA, Nogueira RA, Soares JVB, Junior RCM. Fractal analysis of the normal human retinal vasculature. Internet J Ophthalmol Vis Sci 2010;8. DOI: 10.5580/1a6a.
33. Azemin MZ, Kumar DK,Wong TY, Kawasaki R, Mitchell P, Wang JJ. Robust methodology for fractal analysis of the retinal vasculature. IEEE Trans Med Imaging 2011;30: 243-250
34. Ivanovici M, Richard N. Fractal dimension of color fractal images. IEEE Trans Image Process 2011;20:227-235
35. 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;24:274-280
36. Kunicki AC, Oliveira AJ, Mendonça MB, Barbosa CT, Nogueira RA. Can the fractal dimension be applied for the early diagnosis of non-proliferative diabetic retinopathy? Braz J Med Biol Res 2009;42:930-934
37. Walter T, Klein JC. Automatic analysis of color fundus photographs and its application to the diagnosis of diabetic retinopathy. In: Suri SJ, Wilson DL, Laxminarayan L, editors. Handbook of biomedical image analysis. Vol. II: Segmentation models, Part B. Chap. 7. New York: Kluwer Academic/Plenum Publishers; 2005. pp 315-368
38. Stosic T, Stosic B. Multifractal analysis of human retinal vessels. IEEE Trans Med Imaging 2006;25:1101-1107
39. Gould DJ, Vadakkan TJ, Poché RA, Dickinson ME. Multifractal and lacunarity analysis of microvascular morphology and remodeling. Microcirculation 2011;18: 136-151
40. Talu S. Multifractal characterization of human retinal blood vessels. Oftalmologia 2012;56:63-71
41. Chhabra A, Jensen RV. Direct determination of the f(alpha) singularity spectrum. Phys Rev Lett 1989;62: 1327-1330
42. Telesca L, Colangelo G, Lapenna V, Macchiato M. Monofractal and multifractal characterization of geoelectrical signals measured in southern Italy. Chaos Solitons Fractals 2003;18:385-399
43. Image Sciences Institute. DRIVE: Digital retinal images for vessel extraction. Available from: Http://www.isi.uu.nl/ Research/Databases/DRIVE/ [last accessed 1 June 2012].
44. Niemeijer M, Staal JJ, van Ginneken B, Loog M, Abramoff MD. Comparative study of retinal vessel segmentation methods on a new publicly available database. In: Michael Fitzpatrick J, Sonka M, editors. SPIE medical imaging. Vol. 5370. Bellingham (WA): SPIE; 2004. pp 648-656
45. Staal JJ, Abramoff MD, Niemeijer M, Viergever MA, van Ginneken B. Ridge-based vessel segmentation in color images of the retina. IEEE Trans Med Imaging 2004;23: 501-509
46. Image J software, version ImageJ 1.47d. Bethesda (MD): Wayne Rasband, National Institutes of Health. Available from: Http://imagej.nih.gov/ij [last accessed 1 June 2012].
47. FracLac V 2.5 for Image J software. A. Karperien Charles Sturt University, Australia. Available from: Http:// rsbweb.nih.gov/ij/plugins/ fraclac/FLHelp/Introduction. htm [last accessed 1 June 2012].
48. GraphPad InStat software, version 3.20. San Diego (CA): GraphPad. Available from: Http://www.graphpad.com/ instat/instat.htm [last accessed 1 June 2012].