A Simple Dynamization of Trapezoidal Point Location in Planar Subdivisions

@article{Brankovic2020ASD,
  title={A Simple Dynamization of Trapezoidal Point Location in Planar Subdivisions},
  author={Milutin Brankovic and Nikola Grujic and Andr{\'e} van Renssen and Martin P. Seybold},
  journal={ArXiv},
  year={2020},
  volume={abs/1912.03389}
}
We study how to dynamize the Trapezoidal Search Tree - a well known randomized point location structure for planar subdivisions of kinetic line segments. Our approach naturally extends incremental leaf-level insertions to recursive methods and allows adaptation for the online setting. Moreover, the dynamization carries over to the Trapezoidal Search DAG, offering a linear sized data structure with logarithmic point location costs as a by-product. On a set $S$ of non-crossing segments, each… 

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