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Applications of fractals in medicine

机译:分形在医学中的应用

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The mathematical concept of fractals characterized irregular and broken objects, with details on all scales of observation and whose dimension can be non-integer. A fractal organization controls the structures at all levels of the human body. Euclidean geometry is powerless to study irregularities in these structures. For cons, the fractal analysis tools allow us to model it with an impressive realism. We discuss in this work the contribution of fractals in the diagnostic of the diabetic retinopathy, by a non-invasive method. We will take two samples of each ten retinal images, one is normal and the other is pathological. We will calculate the fractal dimensions for each sample. The comparison of the values obtained for the two samples have led to a significant result, allowing distinguish between normal retinas of pathological retinas.
机译:分形的数学概念描述了不规则和破碎的对象,并在所有观察尺度上都具有详细信息,并且其维数可以是非整数的。分形组织控制着人体各个层面的结构。欧几里得几何学无助于研究这些结构中的不规则性。对于缺点,分形分析工具使我们能够以令人印象深刻的真实感对其进行建模。我们通过非侵入性方法讨论了分形在糖尿​​病性视网膜病变诊断中的作用。我们将每十张视网膜图像取两个样本,一个是正常的,另一个是病理的。我们将计算每个样本的分形维数。对两个样品获得的值进行比较已得出显着结果,从而可以区分病理视网膜的正常视网膜。

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