Periodically occurring accumulations of events or measured values are present in many time-dependent datasets and can be of interest for analyses. The frequency of such periodic behavior is often not known in advance, making it difficult to detect and tedious to explore. Automated analysis methods exist, but can be too costly for smooth, interactive analysis. We propose a compact visual representation that reveals periodicity by showing a phase histogram for a given period length that can be used standalone or in combination with other linked visualizations. Our approach supports guided, interactive analyses by suggesting other period lengths to explore, which are ranked based on two quality measures. We further describe how the phase can be mapped to visual representations in other views to reveal periodicity there.

翻译：许多时变数据集中存在事件或测量值的周期性累积，这些累积可能对分析具有价值。此类周期性行为的频率通常预先未知，导致检测困难且探索过程繁琐。现有自动化分析方法虽然存在，但在实现流畅的交互式分析时计算成本过高。我们提出一种紧凑的视觉表示方法，通过展示给定周期长度的相位直方图来揭示周期性，该表示既可独立使用，也可与其他关联可视化结合。该方法支持引导式交互分析，基于两种质量度量对建议探索的其他周期长度进行排序。我们进一步描述了如何将相位映射至其他视图的视觉表示中，以揭示其中的周期性规律。