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Axis-by-Axis Stress Minimization

机译:轴对轴应力最小化

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Graph drawing algorithms based on minimizing the so-called stress energy strive to place nodes in accordance with target distances. They were first introduced to the graph drawing field by Kamada and Kawai, and they had previously been used to visualize general kinds of data by multidimensional scaling. In this paper we suggest a novel algorithm for the minimization of the Stress energy. Unlike prior stress-minimization algorithms, our algorithm is suitable for a one-dimensional layout, where one axis of the drawing is already given and an additional axis needs to be computed. This 1 - D drawing capability of the algorithm is a consequence of replacing the traditional node-by-node optimization with a more global axis-by-axis optimization. Moreover, our algorithm can be used for multidimensional graph drawing, where it has time and space complexity advantages compared with other stress minimization algorithms.
机译:基于最小化所谓的应力能的图形绘制算法努力根据目标距离放置节点。它们是由Kamada和Kawai首次引入图形绘图领域的,以前曾被用于通过多维比例缩放来可视化常规数据。在本文中,我们提出了一种用于最小化应力能的新颖算法。与现有的应力最小化算法不同,我们的算法适用于一维布局,在该布局中,已经给出了图纸的一个轴,并且需要计算另外一个轴。该算法的一维绘图功能是用更全局的逐轴优化替换传统的逐节点优化的结果。此外,我们的算法可用于多维图形绘制,与其他应力最小化算法相比,它在时间和空间复杂度方面具有优势。

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