Slope-Dependent Rendering of Parallel Coordinates to Reduce Density Distortion and Ghost Clusters
Slope-Dependent Rendering of Parallel Coordinates to Reduce Density Distortion and Ghost Clusters
复制标题
平行坐标的坡度相关渲染可减少密度失真和重影簇
DOI：
10.1109/visual.2019.8933706
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
M. Blumenschein
中科院分区：
文献类型：
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作者：
David Pomerenke;F. L. Dennig;D. Keim;Johannes Fuchs;M. Blumenschein
平行坐标是一种可视化多维数据的流行技术。然而，他们面临着一个重大的问题，影响的看法和解释的模式。两条平行线之间的距离因其斜率而异。与水平线相比，垂直线呈现得更长，并且彼此更接近。这个问题是该技术固有的，并且具有两个主要后果：（1）在两个轴之间具有陡峭斜率的聚类在视觉上比水平聚类更突出。(2)噪声和杂波可以被感知为集群，因为一些平行的垂直线在视觉上呈现为幽灵集群。我们的论文做了两个贡献：第一，我们正式的问题，并显示其影响。其次，我们提出了一种新的技术来减少的影响，通过渲染的折线的平行坐标的基础上，他们的斜率：水平线渲染的默认宽度，线与较细的线陡峭的斜率。我们的技术避免了集群的密度失真，可以在线性时间内计算，并且可以添加到大多数平行坐标变化的顶部。为了证明的有用性，我们展示的例子，并比较它们的经典渲染。
Parallel coordinates are a popular technique to visualize multidimensional data. However, they face a significant problem influencing the perception and interpretation of patterns. The distance between two parallel lines differs based on their slope. Vertical lines are rendered longer and closer to each other than horizontal lines. This problem is inherent in the technique and has two main consequences: (1) clusters which have a steep slope between two axes are visually more prominent than horizontal clusters. (2) Noise and clutter can be perceived as clusters, as a few parallel vertical lines visually emerge as a ghost cluster. Our paper makes two contributions: First, we formalize the problem and show its impact. Second, we present a novel technique to reduce the effects by rendering the polylines of the parallel coordinates based on their slope: horizontal lines are rendered with the default width, lines with a steep slope with a thinner line. Our technique avoids density distortions of clusters, can be computed in linear time, and can be added on top of most parallel coordinate variations. To demonstrate the usefulness, we show examples and compare them to the classical rendering.