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arXiv · 2607.22764

A Comparison of Two Dynamic k-d Trees

Russell A. Brown
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Abstract

Two methods have been proposed for building and modifying a dynamic k-d tree. One method stores the dynamic tree as a single k-d tree and rebalances that tree by rebuilding subtrees within the tree when those subtrees become unbalanced due to insertion of a k-dimensional tuple into the tree or deletion of a tuple from the tree. A second method composes a dynamic tree as a set of static k-d trees whose sizes are increasing integer powers of two; this tree's balance is maintained by rebuilding a static tree within the set upon insertion or deletion of a tuple. This article describes insertion and deletion algorithms for the second method, and compares the performance of the second method to the performance of the first method.

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Russell A. Brown. 2026-07-24. A Comparison of Two Dynamic k-d Trees. https://arxiv.org/abs/2607.22764

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