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Plane-filling trails
arXiv - CS - Computational Geometry Pub Date : 2020-03-28 , DOI: arxiv-2003.12745
Herman Haverkort

The order in which plane-filling curves visit points in the plane can be exploited to design efficient algorithms. Typically, the curves are useful because they preserve locality: points that are close to each other along the curve tend to be close to each other in the plane, and vice versa. However, sketches of plane-filling curves do not show this well: they are hard to read on different levels of detail and it is hard to see how far apart points are along the curve. This paper presents a software tool to produce compelling visualisations that may give more insight in the structure of the curves.

中文翻译:

飞机填充小径

可以利用平面填充曲线访问平面中的点的顺序来设计有效的算法。通常,曲线很有用,因为它们保留了局部性:沿着曲线彼此靠近的点在平面中往往彼此靠近,反之亦然。然而,平面填充曲线的草图并不能很好地显示这一点:它们很难在不同的细节层次上阅读,也很难看出沿曲线的点相距多远。本文介绍了一种软件工具,可以生成引人注目的可视化效果,可以让您更深入地了解曲线的结构。
更新日期:2020-03-31
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