Many visual representations, such as volume-rendered images and metro maps, feature a noticeable amount of information loss. At a glance, there seem to be numerous opportunities for viewers to misinterpret the data being visualized, hence undermining the benefits of these visual representations. In practice, there is little doubt that these visual representations are useful. The recently-proposed information-theoretic measure for analyzing the cost-benefit ratio of visualization processes can explain such usefulness experienced in practice, and postulate that the viewers' knowledge can reduce the potential distortion (e.g., misinterpretation) due to information loss. This suggests that viewers' knowledge can be estimated by comparing the potential distortion without any knowledge and the actual distortion with some knowledge. In this paper, we describe several case studies for collecting instances that can (i) support the evaluation of several candidate measures for estimating the potential distortion distortion in visualization, and (ii) demonstrate their applicability in practical scenarios. Because the theoretical discourse on choosing an appropriate bounded measure for estimating the potential distortion is yet conclusive, it is the real world data about visualization further informs the selection of a bounded measure, providing practical evidence to aid a theoretical conclusion. Meanwhile, once we can measure the potential distortion in a bounded manner, we can interpret the numerical values characterizing the benefit of visualization more intuitively.

中文翻译：

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评估可视化收益的有界措施：案例研究和实证评估

许多视觉表示形式（例如，体积渲染的图像和地铁地图）具有明显的信息丢失量。乍一看，观看者似乎有很多机会误解所显示的数据，从而破坏了这些视觉表示的好处。在实践中，毫无疑问，这些视觉表示是有用的。最近提出的用于分析可视化过程的成本效益比的信息理论方法可以解释这种实践中遇到的有用性，并假定观众的知识可以减少由于信息丢失而引起的潜在失真（例如，误解）。这表明可以通过将没有任何知识的潜在失真与有一些知识的实际失真进行比较来估计观看者的知识。在本文中，我们描述了一些用于收集实例的案例研究，这些实例可以（i）支持对几种候选度量的评估，以估计可视化中的潜在失真失真，以及（ii）证明其在实际场景中的适用性。由于关于选择适当的有界度量以估计潜在失真的理论讨论尚无定论，因此有关可视化的现实世界数据进一步指导了有界度量的选择，提供了有助于理论结论的实用证据。同时，一旦我们可以有界地测量潜在的失真，就可以更直观地解释表征可视化的好处的数值。