论文标题
Burr，Lomax，Pareto和Logistic分布来自Ultrasound Speckle
Burr, Lomax, Pareto, and Logistic Distributions from Ultrasound Speckle
论文作者
论文摘要
经过100年从相干照明的斑点模式进行了100年的理论处理，有关软血管化组织的超声斑点的性质，还有一些开放的问题。最近的一个假设是，分形分支脉管系统负责肝脏等器官的主要回声模式。在这种情况下，有必要对跨大小的功率定律分布排列的圆柱散射结构进行分析。使用概率的简单模型的回声强度和基本变换规则，我们得出了斑点的一阶统计量，考虑了振幅，强度和自然对数。结果由在其他领域的统计文献中研究的长尾分布给出。示例是由模拟和动物研究给出的，这些初步数据的理论拟合支持了整体框架，这是一个合理的模型，用于表征超声范围的统计数据。
After 100 years of theoretical treatment of speckle patterns from coherent illumination, there remain some open questions about the nature of ultrasound speckle from soft vascularized tissues. A recent hypothesis is that the fractal branching vasculature is responsible for the dominant echo pattern from organs such as the liver. In that case an analysis of cylindrical scattering structures arranged across a power law distribution of sizes is warranted. Using a simple model of echo strength and basic transformation rules from probability, we derive the first order statistics of speckle considering the amplitude, the intensity, and the natural log of amplitude. The results are given by long tailed distributions that have been studied in the statistics literature for other fields. Examples are given from simulations and animal studies, and the theoretical fit to these preliminary data support the overall framework as a plausible model for characterizing ultrasound speckle statistics.
