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包琛, 汪云海. 基于局部45°原则的折线图坐标轴网格生成[J]. 计算机辅助设计与图形学学报, 2021, 33(8): 1172-1181. DOI: 10.3724/SP.J.1089.2021.18660
引用本文: 包琛, 汪云海. 基于局部45°原则的折线图坐标轴网格生成[J]. 计算机辅助设计与图形学学报, 2021, 33(8): 1172-1181. DOI: 10.3724/SP.J.1089.2021.18660
Bao Chen, Wang Yunhai. Local Banking to 45°: Axis Grid Generation for Line Charts[J]. Journal of Computer-Aided Design & Computer Graphics, 2021, 33(8): 1172-1181. DOI: 10.3724/SP.J.1089.2021.18660
Citation: Bao Chen, Wang Yunhai. Local Banking to 45°: Axis Grid Generation for Line Charts[J]. Journal of Computer-Aided Design & Computer Graphics, 2021, 33(8): 1172-1181. DOI: 10.3724/SP.J.1089.2021.18660

基于局部45°原则的折线图坐标轴网格生成

Local Banking to 45°: Axis Grid Generation for Line Charts

  • 摘要: 坐标轴网格是辅助人们观察统计折线图的重要参考结构.文中研究了有利人们感知直线斜率的坐标轴标签.首先通过一系列用户实验探索折线图中网格局部长宽比对于估计线段斜率这一任务的影响,通过用户估计的倾斜角度与直线真实的倾斜角度的误差大小反映不同实验条件的影响程度.实验得出的结论是适当的网格密度、接近正方形的网格格子局部长宽比有利于准确的斜率估计.基于该实验结论,提出了新的为折线图数据自动生成坐标轴的算法,考虑最大标签、最小标签和间隔步长3个变量,参考前人关于标签简洁性、覆盖性、重叠程度的定义,将正方化的局部长宽比这一因素加入水平和垂直2条坐标轴的标签联合优化之中,该算法能够生成既美观又提高图形感知准确性的坐标轴网格.

     

    Abstract: Axis grid is a basic reference structure that assists people in reading line charts.In this paper,we focus on axis labels that help people perceive slopes in line charts.A series of user studies are conducted to explore the influence of local aspect ratio on the task of slope estimation in line charts.We evaluate the influence of different experimental conditions by calculating the errors between the user estimated slope and the ground truth.The re-sults show that appropriate grid density and squarified grid aspect ratio increase the estimation accuracy of line segment slopes.Accordingly,we propose a new algorithm for generating axis grid considering the maximal label,the minimal label and label intervals for line charts.Following the previous criteria of simplicity,coverage and overlap,our algorithm applies the squarifed local aspect ratio to the joint optimization of the tick marks of both horizontal and vertical axis to generate aesthetic axis grid that helps increase graphical perception accuracy.

     

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