IEEE Trans Vis Comput Graph. 2018 Jan;24(1):616-625. doi: 10.1109/TVCG.2017.2744018. Epub 2017 Aug 29.
Conventional dot plots use a constant dot size and are typically applied to show the frequency distribution of small data sets. Unfortunately, they are not designed for a high dynamic range of frequencies. We address this problem by introducing nonlinear dot plots. Adopting the idea of nonlinear scaling from logarithmic bar charts, our plots allow for dots of varying size so that columns with a large number of samples are reduced in height. For the construction of these diagrams, we introduce an efficient two-way sweep algorithm that leads to a dense and symmetrical layout. We compensate aliasing artifacts at high dot densities by a specifically designed low-pass filtering method. Examples of nonlinear dot plots are compared to conventional dot plots as well as linear and logarithmic histograms. Finally, we include feedback from an expert review.
传统的点图使用固定的点大小，通常用于显示小数据集的频率分布。然而，它们并不是为高频率动态范围而设计的。我们通过引入非线性点图来解决这个问题。借鉴对数条形图的非线性缩放思想，我们的图表允许使用不同大小的点，从而使具有大量样本的列的高度降低。为了构建这些图表，我们引入了一种高效的双向扫描算法，以实现密集和对称的布局。我们通过专门设计的低通滤波方法来补偿高点点密度下的混叠伪影。我们还将非线性点图的示例与传统点图、线性直方图和对数直方图进行了比较。最后，我们提供了专家的反馈。
