1993
DOI: 10.3109/02713689308999492
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Fractal analysis of the normal human retinal fluorescein angiogram

Abstract: The fractal dimension of the retinal vasculature and isolated venous and arterial trees down to a caliber of 40 microns was estimated in 23 routine fluorescein angiograms of normal retinas. Fractal dimension was determined with a method based on the box counting theorem. This method is less susceptible to the radial architecture of the retinal vascular tree than those previously reported (mass-radius relation and density-density correlation function). Two scale ranges with different fractal dimension were cons… Show more

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Cited by 70 publications
(42 citation statements)
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“…The validity of this method is confirmed by the concordance between the mass dimension values of the optic nerve head in the control group obtained by us and the fractal indexes obtained in normal retinal vessel by other Authors [25][26][27][28][29]. These values correspond to the complexity value of a diffusion limited aggregation (DLA) model [30], characteristic of many physiological structures [31][32][33].…”
supporting
confidence: 59%
“…The validity of this method is confirmed by the concordance between the mass dimension values of the optic nerve head in the control group obtained by us and the fractal indexes obtained in normal retinal vessel by other Authors [25][26][27][28][29]. These values correspond to the complexity value of a diffusion limited aggregation (DLA) model [30], characteristic of many physiological structures [31][32][33].…”
supporting
confidence: 59%
“…Different methods have been used for the calculation of the fractal dimension (17,(22)(23)(24)(25)(26). Family et al (17) calculated the fractal dimension (D) of the vascular pattern of the human retina using mass radius (D = 1.71 ± 0.07) and correlation (D = 1.72 ± 0.03) methods, but did not observe a significant difference between them.…”
Section: Discussionmentioning
confidence: 99%
“…[7][8][9][10] Many of these studies have shown that the normal retinal vasculature also exhibits fractal geometry and demonstrates a FD of approximately 1.7. 11,12 Given that microvascular diseases, such as diabetes and hypertension, result in changes to the microvascular architecture, 13 it may be hypothesized that the loss of smaller vessel branches would reduce the FD.…”
mentioning
confidence: 99%