A general approach for cache-oblivious range reporting and approximate range counting

@article{Afshani2010AGA,
  title={A general approach for cache-oblivious range reporting and approximate range counting},
  author={Peyman Afshani and Chris H. Hamilton and Norbert Zeh},
  journal={Comput. Geom.},
  year={2010},
  volume={43},
  pages={700-712}
}
We present cache-oblivious solutions to two important variants of range searching: range reporting and approximate range counting. Our main contribution is a general approach for constructing cache-oblivious data structures that provide relative ([email protected])-approximations for a general class of range counting queries. This class includes three-sided range counting in the plane, 3-d dominance counting, and 3-d halfspace range counting. The constructed data structures use linear space and… CONTINUE READING

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