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Fr{\'e}chet and Hausdorff Queries on $x$-Monotone Trajectories

Zeinab Saeidi; Mohammad Farshi

Volume 51, Issue 2 , December 2019, , Pages 9-17

https://doi.org/10.22059/jac.2019.75110

Abstract
  \vspace{0.2cm}In this paper, we design a data structure for the following problem. Let $\pi$ be an $x$-monotone trajectory with $n$ vertices in the plane and $\epsilon >0$. We show how to preprocess $\pi$ and $\epsilon$ into a data structure such that for any horizontal query segment $Q$ in the plane, ...  Read More