The article proposes a dynamic range compression model for infrared (IR) images based on a tone mapping
 matrix, the elements of which relate the brightness levels of the original image with a wide dynamic range and
 the brightness levels of a non-linearly transformed image with a narrow dynamic range, and also indicate, depending
 on the variant of formation of this matrices on: a) loss of discrimination between adjacent pixels due
 to compression of the dynamic range; b) the level of non-linear compression distortions; c) ambiguity of tone
 mapping. Based on this model, interval indicators of the quality of compression of the dynamic range of infrared
 images are proposed, which allow estimating the potential distinguishing power, the real loss of discrimination
 between adjacent pixels after transformation, the magnitude of nonlinear compression distortions, the uniformity
 of the use of the dynamic range, and the ambiguity of tone mapping for the selected interval of the dynamic range.
 The proposed indicators improve the accuracy of assessing the quality of compression of the dynamic range of IR
 images by expanding the system of known indicators that evaluate the contrast, entropy, statistical naturalness
 of the converted images, and the structural accuracy of tone mapping.
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