Torch Delaunay - The Delaunay triangulation library for PyTorch
This is a fast library for computing Delaunay triangulation of 2-dimensional points.
The implementation is based on a sweep-algorithm, introduced by David Sinclair1 and later improved by Volodymyr Agafonkin2.
Here is an example of triangulation output produced by Torch Delaunay library for a random set of
points:
Installation
The library is distributed as PyPI package, to install the package, execute the following command:
pip install torch_delaunay
You can use the torch_delaunay library for a fast computation of Delaunay triangulation for
points defined as PyTorch tensors.
Usage
import torch
from torch_delaunay.functional import shull2d
import matplotlib.pyplot as plt
# Compute Delaunay triangulation for randomly-generated 2-dimensional points.
points = torch.rand((100, 2))
simplices = shull2d(points)
# Plot the result
plt.triplot(points[:, 0], points[:, 1], triangles=simplices)
plt.title("Delaunay Triangulation")
Benchmarks
Benchmarks are collected on Apple M1 Pro chip with 32 GiB of memory.
| Prob. Distribution | Data Type | Samples | Time | CPU | Iterations |
|---|---|---|---|---|---|
| Uniform | Float64 | 10000 | 4.18 ms | 4.11 ms | 171 |
| Uniform | Float64 | 100000 | 49.6 ms | 48.3 ms | 15 |
| Uniform | Float64 | 1000000 | 600 ms | 592 ms | 1 |
| Uniform | Float32 | 10000 | 4.37 ms | 4.29 ms | 161 |
| Uniform | Float32 | 100000 | 47.4 ms | 46.4 ms | 15 |
| Uniform | Float32 | 1000000 | 573 ms | 568 ms | 1 |
| Normal | Float64 | 10000 | 4.60 ms | 4.49 ms | 156 |
| Normal | Float64 | 100000 | 48.5 ms | 47.4 ms | 15 |
| Normal | Float64 | 1000000 | 568 ms | 563 ms | 1 |
| Normal | Float32 | 10000 | 4.42 ms | 4.33 ms | 165 |
| Normal | Float32 | 100000 | 46.5 ms | 45.4 ms | 15 |
| Normal | Float32 | 1000000 | 550 ms | 547 ms | 1 |
License
The Torch Delaunay is distributed under GPLv3 license. See the LICENSE file for full license text.
-
David Sinclair - S-hull: a fast radial sweep-hull routine for Delaunay triangulation. ↩
-
Volodymyr Agafonkin - Delaunator: An incredibly fast and robust JavaScript library for Delaunay triangulation of 2D points. ↩
1 maintainer
Metadata
1 maintainer
Release files for torch-delaunay 1.3.0
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