Streaking in median filtered images
Streaking in median filtered images
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DOI：
10.1109/tassp.1987.1165153
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发表时间：
1987
期刊：
影响因子：
--
通讯作者：
A. Bovik
中科院分区：
文献类型：
--
作者：
A. Bovik
本文提出了一种概率分析的条纹或斑点效应，通常观察到的中值滤波信号在一个和两个维度。效应被识别为相等或几乎相等的值的运行，其产生没有视觉相关性的视觉印象。对于一维离散iid随机信号与连续的输入概率密度，长度L的条纹发生的概率计算和示出的输入概率分布是独立的。还推导出条纹长度的一阶矩和二阶矩的表达式，并给出了某些渐近结果。由于在二维中的类似效应的分析和定义是不太容易处理的，从不同的重叠窗口取中值的概率将采取相同的值是来自各种过滤器的几何形状。使用一维和二维信号的例子支持的分析结果。
This paper presents a probabilistic analysis of the streaking or blotching effect commonly observed in median filtered signals in both one and two dimensions. The effcts are identified as runs of equal or nearly equal values which create visual impressions that have no visual correlate. For one-dimensional discrete iid random signals with continuous input probability densities, the probability of a streak of length L occurring is computed and shown to be independent of the input probability distribution. Expressions for the first and second moments of the streak length are also derived, and certain asymptotic results are given. As the analysis and definition of the analogous effect in two dimensions is less tractable, the probability that medians taken from distinct overlapping windows will take the same value is derived for various filter geometries. The analytic results are supported by examples using both one- and two-dimensional signals.