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Use of minimal inter-quantile distance estimation in image processing

机译：最小分位数间距离估计在图像处理中的使用

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摘要

Nowadays multichannel (multi and hyperspectral) remote sensing (RS) is widely used in different areas. One of the basic factors that can deteriorate original image quality and prevent retrieval of useful information from RS data is noise. Thus, image filtering is a typical stage of multichannel image pre-processing. Among known filters, the most efficient ones commonly require a priori information concerning noise type and its statistical characteristics. This explains a great need in automatic (blind) methods for determination of noise type and its characteristics. Several such methods already exist, but majority of them do not perform appropriately well if analyzed images contain a large percentage of texture regions, details and edges. Besides, many blind methods are multistage where some preliminary and appropriately accurate estimate of noise variance is required for next stages. To get around aforementioned shortcomings, below we propose a new method based on using inter-quantile distance and its minimization for obtaining appropriately accurate estimates of noise variance. It is shown that mathematically this task can be formulated as finding a mode of contaminated asymmetric distribution. And this task can be met for other applications. The efficiency of the proposed method is studied for a wide set of model distribution parameters. Numerical simulation results that confirm applicability of the proposed approach are presented. They also allow evaluating the designed method accuracy. Recommendations on method parameter selection are given.
机译：如今，多通道（多光谱和高光谱）遥感（RS）广泛应用于不同领域。可能会降低原始图像质量并阻止从RS数据中检索有用信息的基本因素之一是噪声。因此，图像滤波是多通道图像预处理的典型阶段。在已知的滤波器中，最有效的滤波器通常需要有关噪声类型及其统计特性的先验信息。这解释了在确定噪声类型及其特征的自动（盲）方法中的巨大需求。已经存在几种这样的方法，但是如果分析的图像包含大量百分比的纹理区域，细节和边缘，它们中的大多数将不能很好地执行。此外，许多盲法是多阶段的，对于下一阶段需要一些初步且适当准确的噪声方差估计。为了克服上述缺点，下面我们提出一种基于分位数距离及其最小化的新方法，以获得适当准确的噪声方差估计。结果表明，数学上可以将这项任务表述为寻找受污染的不对称分布的模式。并且其他应用程序可以满足此任务。针对大量模型分布参数，研究了该方法的效率。数值仿真结果证实了该方法的适用性。它们还允许评估设计方法的准确性。给出了有关方法参数选择的建议。

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