de Mendonça Marcelo Bezerra de Melo, de Amorim Garcia Carlos Alexandre, Nogueira Romildo de Albuquerque, Gomes Marcelo Andrade Filgueira, Valença Marcelo Morais, Oréfice Fernando
Universidade Federal do Rio Grande do Norte, Natal, RN, Brasil.
Arq Bras Oftalmol. 2007 May-Jun;70(3):413-22. doi: 10.1590/s0004-27492007000300006.
Although it has been proposed that retinal vasculature is fractal, no method of standardization has been performed for vascular segmentation or for dimension calculation, thus resulting in great variability among values of fractal dimensions. The present study was designed to determine if estimation of retinal vessel fractal dimensions is dependent on vascular segmentation and dimensional calculation methods.
Ten eye fundus images were segmented to extract their vascular trees by four computational methods ("multi-threshold", "scale-space", "pixel classification" and "ridge based detection"). Their information, mass-radius and box counting fractal dimensions were calculated and compared with those of the same vascular trees manually segmented (gold standard).
The mean vascular tree dimension varied among the groups of different segmentation methods, from 1.39 to 1.47 for box counting, from 1.47 to 1.52 for information and from 1.48 to 1.57 for mass-radius dimensions. The utilization of different vascular segmentation methods and different dimension calculation methods introduced significant difference among fractal dimension of vessels.
Estimation of retinal vessel fractal dimensions was dependent on both vascular segmentation and dimension calculation methods.
尽管有人提出视网膜血管系统具有分形特征，但尚未对血管分割或维度计算进行标准化，因此分形维数值之间存在很大差异。本研究旨在确定视网膜血管分形维数的估计是否依赖于血管分割和维度计算方法。
通过四种计算方法（“多阈值”、“尺度空间”、“像素分类”和“基于脊线检测”）对10张眼底图像进行分割，以提取其血管树。计算它们的信息、质量半径和盒计数分形维数，并与手动分割的相同血管树（金标准）进行比较。
不同分割方法组的平均血管树维数有所不同，盒计数法为1.39至1.47，信息法为1.47至1.52，质量半径法为1.48至1.57。不同的血管分割方法和不同的维度计算方法导致血管分形维数存在显著差异。
视网膜血管分形维数的估计依赖于血管分割和维度计算方法。
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