Multifractal analysis of human retinal vessels
Multifractal analysis of human retinal vessels
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DOI：
10.1109/tmi.2006.879316
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发表时间：
2006-08-01
影响因子：
10.6
通讯作者：
Stosic, Borko D.
中科院分区：
文献类型：
--
作者：
Stosic, Tatijana;Stosic, Borko D.
在本文中，它表明，血管结构的人视网膜代表几何多重分形，其特征在于由一个层次的指数，而不是一个单一的分形维数。分析来自STARE数据库的多个视网膜图像，其对应于视网膜的正常和病理状态。在所有研究的情况下，观察到一个明显的多重分形行为，其中容量维总是被发现是大于信息维，这又总是大于相关维数，所有这三个显着低于扩散限制聚集（DLA）分形维数。我们还观察到一种趋势，对应于视网膜的病理状态的图像具有较低的广义尺寸和移动的光谱范围，与正常情况下相比。
In this paper, it is shown that vascular structures of the human retina represent geometrical multifractals, characterized by a hierarchy of exponents rather then a single fractal dimension. A number of retinal images from the STARE database are analyzed, corresponding to both normal and pathological states of the retina. In all studied cases, a clearly multifractal behavior is observed, where capacity dimension is always found to be larger then the information dimension, which is in turn always larger then the correlation dimension, all the three being significantly lower then the diffusion limited aggregation (DLA) fractal dimension. We also observe a tendency of images corresponding to the pathological states of the retina to have lower generalized dimensions and a shifted spectrum range, in comparison with the normal cases.