论文标题

生成常规双曲蜂窝

Generating Regular Hyperbolic Honeycombs

论文作者

Celińska-Kopczyńska, Dorota, Kopczyński, Eryk

论文摘要

地球常规树结构对于应对使用大规模计算双曲线几何形状时出现的数值精度问题至关重要,并且基于此类镶嵌物中的距离在算法中具有应用。我们提出了一种生成和应用此类结构的方法,以3维双曲空间的镶嵌。

Geodesic regular tree structures are essential to combat numerical precision issues that arise while working with large-scale computational hyperbolic geometry and have applications in algorithms based on distances in such tessellations. We present a method of generating and applying such structures to the tessellations of 3-dimensional hyperbolic space.

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