The original nonlinear dot plots were designed for dots of varying sizes by the two-way sweep algorithm. However, this algorithm uses the average of the starting point of the two-way sweep to determine the column position, which can lead to inaccurate position of the obtained data columns. Meanwhile, the two-way sweep algorithm has the shortcoming of unclear expression in high-density data area. In order to address this problem, we propose an improved nonlinear dot plot based on an undirected reassignment algorithm. The improved nonlinear dot plots can process and assign data in order to achieve an optimized layout that can identify the suitable dot position and data distribution. The proposed algorithm is more effective at displaying outliers and avoiding overlaps. Dots with large differences can be presented in the nonlinear dot plots. Our proposed method can further be combined with other data visualization attributions for data analysis purposes. Using a series of real datasets, the improved nonlinear dot plots are compared with both the conventional dot plots and the original nonlinear dot plots. Results show that our improved nonlinear dot plots not only allow for dots of varying sizes, but also clearly display the data with extremely high density.

Graphic abstract

中文翻译：

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基于无向重分配算法的新型非线性点图可视化

原始的非线性点图是通过双向扫描算法为各种大小的点设计的。但是，该算法使用双向扫描起点的平均值来确定列位置，这可能导致获得的数据列的位置不正确。同时，双向扫频算法存在高密度数据区表达不清楚的缺点。为了解决这个问题，我们提出了一种基于无向重分配算法的改进的非线性点图。改进的非线性点图可以处理和分配数据，以便获得可以确定合适的点位置和数据分布的优化布局。所提出的算法在显示异常值和避免重叠方面更有效。差异较大的点可以在非线性点图中显示。我们提出的方法可以进一步与其他数据可视化属性进行组合，以进行数据分析。使用一系列实际数据集，将改进的非线性点图与常规点图和原始非线性点图进行比较。结果表明，我们改进的非线性点图不仅允许变化大小的点，而且还清晰地以极高的密度显示数据。

图形摘要