Abstract—

It is described how to construct a distance on analog and quantized images, which is invariant with respect to strictly monotonic increasing transformations of the brightness function. The distance function takes into account possible normal noise on the image. The maximal value of such a distance for any number of quantizing levels and noise parameters is calculated. The experimental results, which make it possible to compare the invariant distance measure with classical measures, are presented.

中文翻译：

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关于单调亮度变换的图像不变性度量

摘要-

描述了如何在模拟和量化图像上构造距离，该距离相对于亮度函数的严格单调递增变换是不变的。距离功能考虑了图像上可能的正常噪点。对于任何数量的量化水平和噪声参数，计算这样的距离的最大值。给出了实验结果，使不变距离测度与经典测度的比较成为可能。