# On Approximating Shortest Paths in Weighted Triangular Tessellations

@inproceedings{Bose2022OnAS, title={On Approximating Shortest Paths in Weighted Triangular Tessellations}, author={Prosenjit Bose and Guillermo Esteban and David Orden and Rodrigo I. Silveira}, booktitle={WALCOM}, year={2022} }

We study the quality of weighted shortest paths when a continuous 2-dimensional space is discretized by a weighted triangular tessellation. In order to evaluate how well the tessellation approximates the 2-dimensional space, we study three types of shortest paths: a weighted shortest path SPw (s, t), which is a shortest path from s to t in the space; a weighted shortest vertex path SVPw (s, t), which is a shortest path where the vertices of the path are vertices of the tessellation; and a…

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