Local connected fractal dimensions and lacunarity analyses of 60 degrees fluorescein angiograms. 1995

G Landini, and P I Murray, and G P Misson
Oral Pathology Unit, School of Dentistry, University of Birmingham, United Kingdom.

OBJECTIVE The retinal vascular tree exhibits fractal characteristics. These findings relate to the mechanisms involved in the vascularization process and to the objective morphologic characterization of retinal vessels using fractal analysis. Although normal retinas show uniform patterns of blood vessels, in pathologic retinas with central vein or artery occlusions, the patterns are irregular. Because the generalized box fractal dimension fails to differentiate successfully between normal and abnormal retinal vessels in 60 degrees fluorescein angiograms, the authors have further investigated this problem using the local connected fractal dimension (alpha). METHODS The authors studied 24 digitized 60 degrees fluorescein angiograms of patients with normal retinas and 5 angiograms of patients with central retinal vein or artery occlusion. The pointwise method estimated the local complexity of the angiogram within a finite window centered on those pixels that belong to the retinal vessels. Color-coded dimensional images of the angiograms were constructed by plotting the pixels forming the object with a color that corresponded to specific values of alpha +/- delta alpha. RESULTS The color-coded representation allowed recognition of areas with increased or decreased local angiogram complexity. The alpha distributions showed differences between normal and pathologic retinas, which overcomes problems encountered when using the methods of calculating the generalized fractal dimensions. A multivariate linear discriminant function using parameters from the alpha distribution and a further fractal parameter--lacunarity--reclassified 23 of the 24 normal and 4 of the 5 pathologic angiograms in their original groups (total: 92.1% correct). CONCLUSIONS This methodology may be used for automatic detection and objective characterization of local retinal vessel abnormalities.

UI MeSH Term Description Entries
D011859 Radiography Examination of any part of the body for diagnostic purposes by means of X-RAYS or GAMMA RAYS, recording the image on a sensitized surface (such as photographic film). Radiology, Diagnostic X-Ray,Roentgenography,X-Ray, Diagnostic,Diagnostic X-Ray,Diagnostic X-Ray Radiology,X-Ray Radiology, Diagnostic,Diagnostic X Ray,Diagnostic X Ray Radiology,Diagnostic X-Rays,Radiology, Diagnostic X Ray,X Ray Radiology, Diagnostic,X Ray, Diagnostic,X-Rays, Diagnostic
D005451 Fluorescein Angiography Visualization of a vascular system after intravenous injection of a fluorescein solution. The images may be photographed or televised. It is used especially in studying the retinal and uveal vasculature. Fluorescence Angiography,Fundus Fluorescence Photography,Angiography, Fluorescein,Angiography, Fluorescence,Fluorescence Photography, Fundus,Photography, Fundus Fluorescence
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D012170 Retinal Vein Occlusion Blockage of the RETINAL VEIN. Those at high risk for this condition include patients with HYPERTENSION; DIABETES MELLITUS; ATHEROSCLEROSIS; and other CARDIOVASCULAR DISEASES. Branch Retinal Vein Occlusion,Branch Vein Occlusion,Central Retinal Vein Occlusion,Retinal Branch Vein Occlusion,Thrombosis, Retinal Vein,Retinal Vein Thrombosis,Branch Vein Occlusions,Occlusion, Branch Vein,Occlusion, Retinal Vein,Retinal Vein Occlusions,Retinal Vein Thromboses,Vein Occlusion, Branch,Vein Occlusion, Retinal,Vein Thrombosis, Retinal
D012171 Retinal Vessels The blood vessels which supply and drain the RETINA. Pecten Oculi,Retinal Vasculature,Retinal Blood Vessels,Retinal Blood Vessel,Retinal Vasculatures,Retinal Vessel,Vasculature, Retinal,Vessel, Retinal,Vessel, Retinal Blood
D015356 Retinal Artery Occlusion Sudden ISCHEMIA in the RETINA due to blocked blood flow through the CENTRAL RETINAL ARTERY or its branches leading to sudden complete or partial loss of vision, respectively, in the eye. Branch Retinal Artery Occlusion,Central Retinal Artery Occlusion,Occlusion, Retinal Artery,Occlusions, Retinal Artery,Retinal Artery Occlusions
D015999 Multivariate Analysis A set of techniques used when variation in several variables are studied simultaneously. In statistics, multivariate analysis is interpreted as any analytic method that allows simultaneous study of two or more dependent variables. Analysis, Multivariate,Multivariate Analyses
D016002 Discriminant Analysis A statistical analytic technique used with discrete dependent variables, concerned with separating sets of observed values and allocating new values. It is sometimes used instead of regression analysis. Analyses, Discriminant,Analysis, Discriminant,Discriminant Analyses
D017709 Fractals Patterns (real or mathematical) which look similar at different scales, for example the network of airways in the lung which shows similar branching patterns at progressively higher magnifications. Natural fractals are self-similar across a finite range of scales while mathematical fractals are the same across an infinite range. Many natural, including biological, structures are fractal (or fractal-like). Fractals are related to "chaos" (see NONLINEAR DYNAMICS) in that chaotic processes can produce fractal structures in nature, and appropriate representations of chaotic processes usually reveal self-similarity over time. Fractal

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