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arXiv · 0704.3197

Euclidean Shortest Paths in Simple Cube Curves at a Glance

Fajie Li·Reinhard Klette
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Abstract

This paper reports about the development of two provably correct approximate algorithms which calculate the Euclidean shortest path (ESP) within a given cube-curve with arbitrary accuracy, defined by $ε>0$, and in time complexity $κ(ε) \cdot {\cal O}(n)$, where $κ(ε)$ is the length difference between the path used for initialization and the minimum-length path, divided by $ε$. A run-time diagram also illustrates this linear-time behavior of the implemented ESP algorithm.

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Fajie Li, Reinhard Klette. 2007-04-24. Euclidean Shortest Paths in Simple Cube Curves at a Glance. https://arxiv.org/abs/0704.3197

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