We introduce Hoop Diagrams, a new visualization technique for set data. Hoop Diagrams are a circular visualization with hoops representing sets and sectors representing set intersections. We present an interactive tool for drawing Hoop Diagrams and describe a user study comparing them with Linear Diagrams. The results show only small differences, with users answering questions more quickly with Linear Diagrams, but answering some questions more accurately with Hoop Diagrams. Interaction data indicates that those using set order and intersection highlighting were more successful at answering questions, but those who used other interactions had a slower response. The similarity in usability suggests that the diagram type should be chosen based on the presentation method. Linear Diagrams increase in the horizontal direction with the number of intersections, leading to difficulties fitting on a screen. Hoop Diagrams al-ways have a square aspect ratio.

翻译：本文介绍圆环图，一种用于集合数据的新型可视化技术。圆环图采用环形布局，其中圆环代表集合，扇形区域代表集合交集。我们开发了绘制圆环图的交互式工具，并通过用户研究将其与线性图进行比较。结果显示两者差异较小：用户使用线性图时回答问题速度更快，但使用圆环图时某些问题的准确率更高。交互数据表明，采用集合排序和交集高亮功能的用户答题成功率更高，而使用其他交互方式的用户响应速度较慢。可用性方面的相似性表明，应根据呈现方式选择图表类型。线性图随交集数量增加而水平扩展，易导致屏幕适配困难；圆环图始终保持正方形纵横比。