Wang Yunhai, Wang Zeyu, Zhu Lifeng, Zhang Jian, Fu Chi-Wing, Cheng Zhanglin, Tu Changhe, Chen Baoquan
IEEE Trans Vis Comput Graph. 2018 Dec;24(12):3096-3110. doi: 10.1109/TVCG.2017.2787113. Epub 2017 Dec 25.
The aspect ratio of a line chart heavily influences the perception of the underlying data. Different methods explore different criteria in choosing aspect ratios, but so far, it was still unclear how to select aspect ratios appropriately for any given data. This paper provides a guideline for the user to choose aspect ratios for any input 1D curves by conducting an in-depth analysis of aspect ratio selection methods both theoretically and experimentally. By formulating several existing methods as line integrals, we explain their parameterization invariance. Moreover, we derive a new and improved aspect ratio selection method, namely the -LOR (local orientation resolution), with a certain degree of parameterization invariance. Furthermore, we connect different methods, including AL (arc length based method), the banking to 45 principle, RV (resultant vector) and AS (average absolute slope), as well as -LOR and AO (average absolute orientation). We verify these connections by a comparative evaluation involving various data sets, and show that the selections by RV and -LOR are complementary to each other for most data. Accordingly, we propose the dual-scale banking technique that combines the strengths of RV and -LOR, and demonstrate its practicability using multiple real-world data sets.
折线图的纵横比在很大程度上影响对基础数据的感知。不同的方法在选择纵横比时探索不同的标准，但到目前为止，对于如何为任何给定数据适当地选择纵横比仍不清楚。本文通过在理论和实验上对纵横比选择方法进行深入分析，为用户提供了为任何输入的一维曲线选择纵横比的指导方针。通过将几种现有方法公式化为线积分，我们解释了它们的参数化不变性。此外，我们推导了一种新的、改进的纵横比选择方法，即-LOR（局部方向分辨率），具有一定程度的参数化不变性。此外，我们将不同的方法联系起来，包括基于弧长的方法（AL）、倾斜到45度原则、结果向量（RV）和平均绝对斜率（AS），以及-LOR和平均绝对方向（AO）。我们通过涉及各种数据集的比较评估来验证这些联系，并表明对于大多数数据，RV和-LOR的选择相互补充。因此，我们提出了结合RV和-LOR优势的双尺度倾斜技术，并使用多个真实世界数据集证明了其实用性。
