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Minkowski-metrics as a combination rule for digital-image-coding impairments

机译：Minkowski度量作为数字图像编码缺陷的组合规则

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Abstract: The urge to compress the amount of information needed to represent digitized images while preserving perceptual image quality has led to a plethora of image-coding algorithms. At high data compression ratios, these algorithms usually introduce several coding artifacts, each impairing image quality to a greater or lesser extent. These impairments often occur simultaneously. For the evaluation of image-coding algorithms, it is important to find out how these impairments combine and how this can be described. The objective of the present study is to show that Minkowski-metrics can be used as a combination rule for small impairments like those usually encountered in digitally coded images. To this end, an experiment has been conducted in which subjects assessed the perceptual quality of scale-space- coded color images comprising three kinds of impairment, viz., 'unsharpness', 'phantoms' (dark/bright patches within bright/dark homogeneous regions) and 'color desaturation'. The results show an accumulation of these impairments that is efficiently described by a Minkowski-metric with an exponent of about two. The latter suggests that digital-image-coding impairments may be represented by a set of orthogonal vectors along the axes of a multidimensional Euclidean space. An extension of Minkowski- metrics is presented to generalize the proposed combination rule to large impairments.!19
机译：摘要：在保持感知图像质量的同时，压缩表示数字化图像所需的信息量的冲动导致了过多的图像编码算法。在高数据压缩率的情况下，这些算法通常会引入几种编码伪像，每种伪像或多或少都会损害图像质量。这些损害通常同时发生。为了评估图像编码算法，重要的是找出这些损害如何结合以及如何加以描述。本研究的目的是表明Minkowski度量可以用作像数字编码图像中通常遇到的小损伤的组合规则。为此，已进行了一项实验，其中受试者评估了标度空间编码彩色图像的感知质量，该图像包括三种损伤，即“不清晰”，“幻像”（亮/暗均匀区域内的暗/亮斑块）区域）和“颜色去饱和”。结果表明，这些损伤的累积可以通过Minkowski度量有效地描述，其指数约为2。后者表明，数字图像编码损伤可以由沿着多维欧几里得空间的轴的一组正交向量表示。提出了Minkowski度量的扩展，以将建议的组合规则推广到大的减损。！19

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