Papers › GPU-friendly, Parallel, and (Almost-)In-Place Construction of Left-Balanced k-d Trees

GPU-friendly, Parallel, and (Almost-)In-Place Construction of Left-Balanced k-d Trees

31 Oct 2022arXiv:2211.00120links table onlyarchive 2025-07-28

Ingo Wald

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We present an algorithm that allows for building left-balanced and complete k-d trees over k-dimensional points in a trivially parallel and GPU friendly way. Our algorithm requires exactly one int per data point as temporary storage, and uses O(log N) iterations, each of which performs one parallel sort, and one trivially parallel CUDA per-node update kernel.

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