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OxVoxNNS - Oxidised Voxelised Nearest Neighbour Search

A hybrid-ish nearest neighbour search implemented in rust, tailored towards consistent performance, especially on difficult inputs

Okay but why?

Suppose we are searching for k neighbours within radius r, OxVox can operate in two different modes depending on desired behaviour and performance (see Performance section below).

Inexact Mode (OxVoxApprox)

Inexact mode is the bread and butter of this module. Instead of finding the k nearest neighbours, OxVoxApprox finds k roughly evenly distributed neighbours within radius r, avoiding a lot of expensive L2 distance computations and neighbour sorting.

Exact Mode

Exact Mode behaves like a conventional nearest neighbour search, with decent performance in many situations, though typically worse than open3d's highly performant NearestNeighbourSearch

Usage

Basic usage, query a block of query points in inexact mode:

from ox_vox_nns.ox_vox_nns import OxVoxNNS

indices, distances = ox_vox_nns.OxVoxNNS(
    search_points,   # (S, 3) ndarray
    max_dist,        # float
).find_neighbours(
    query_points,    # (Q, 3) ndarray
    num_neighbours,  # int
    False,           # False => inexact mode
)

More complex usage, using a single NNS object for multiple exact mode queries (e.g. to distribute the nns object and perform queries in parallel, or to query from a large number of query points in batches/chunks)

from ox_vox_nns.ox_vox_nns import OxVoxNNS

nns = ox_vox_nns.OxVoxNNS(
    search_points,
    max_dist,
    voxel_size,
)

for query_points_chunk in query_points_chunks:
    chunk_indices, chunk_distances = nns.find_neighbours(
        query_points,
        num_neighbours,
        True,
    )

Installation

Precompiled (from PyPI)

Currently only available for linux x86-64

pip install ox_vox_nns

Manual

Checkout this repo and enter a virtual environment, then run

maturin develop --release

Performance

See performance_test_ox_vox_nns.py for test code.

Rough testing suggests that OxVoxNNS outperforms KDTrees under certain circumstances, particularly with higher numbers of query points. Rigourous testing is a WIP

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