Range Searching and Geometric Data Structures

kd-trees, range trees, and orthogonal range queries.


field tier

Range Searching and Geometric Data Structures. kd-trees, range trees, and orthogonal range queries.

Foundations and canonical references

The standard treatments of range searching and geometric data structures approach the subject from complementary angles. Deberg, Computational Geometry: Algorithms and Applications (2008) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.

Open methodological questions for range searching and geometric data structures include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.

Prerequisites

Sources

  • textbook · primary · 2008
    Computational Geometry: Algorithms and Applications
    deberg-2008, cheong-2008, vankreveld-2008, overmars-2008

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