Polypix
Batch coverage of circles, polygons, and swept paths on a HEALPix grid.
Documentation | Changelog | PyPI | Repository | Issues
Hand Polypix a batch of spherical regions and it gives you back the HEALPix
cells they cover, as standard RING IDs in NumPy arrays. The spherical geometry
runs in a native kernel, which uses several cores for large calls. Use the
result for coverage maps, visibility counts, and revisit analysis.
Polygon coverage also accepts GeoJSON-like mappings and objects implementing
__geo_interface__, including individual Shapely geometries.
How many Starlink satellites can you see?
All 10,771 catalogued Starlink objects, propagated for an hour and counted cell
by cell. Two dense bands around 40° north and south see 70 to 90 objects at
once, the equator about 37, the poles about 20. Behind it are 137 million
cap-cell hits, counted by one cover_cap() call per timestamp, never stored, and
done in well under a second.
Read the case study for the propagation, the service-cap geometry, and the timings.
Install
pip install polypix
There are wheels for CPython 3.12 and newer on Linux x86-64 and ARM64, macOS 11+ on Intel and Apple Silicon, and Windows x86-64. NumPy is the only runtime dependency.
Quick start
Two satellites overhead, each serving a circle on the ground. Centers are Cartesian directions and radii are in radians:
import numpy as np
import polypix as px
centers = np.array([[1.0, 0.0, 0.0], [0.0, 1.0, 0.0]])
radii = np.radians([6.0, 4.0])
coverage = px.cover_cap(centers, radii, resolution=6)
print(np.diff(coverage.offsets)) # [134 56]
coverage[i] holds the cells covered by satellite i. A cell is covered when
its center falls inside the circle, so partial overlap at the boundary does not
count. Pass mode="overlap" when every touched cell should count instead.
Ask for counts instead and the region-cell pairs are never built, which is how the map above is made:
counts = px.cover_cap(centers, radii, resolution=6, reduce=px.Count())
print(counts.shape) # (49152,) one value per cell on the grid
Documentation
Start with Getting started. The site also carries the API reference, a resolution guide, and two constellation case studies that run end to end.
License
Apache License 2.0. See THIRD_PARTY_NOTICES.md for the dependency and
embedded-code notices.
1 maintainer
Metadata
1 maintainer
Release files for polypix 0.5.1
For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.
Source distribution (sdist)
| File | Size | Uploaded | Provenance | |
|---|---|---|---|---|
| polypix-0.5.1.tar.gz | 100.4 kB | With provenance | Details |
Built distributions (wheels)
| File | Reset | |||
|---|---|---|---|---|
| polypix-0.5.1-cp312-abi3-win_amd64.whl | CPython 3.12 | abi3 | Windows x86-64 | Details |
| polypix-0.5.1-cp312-abi3-manylinux_2_17_x86_64.manylinux2014_x86_64.whl | CPython 3.12 | abi3 | Linux glibc 2.17+ x86-64 | Details |
| polypix-0.5.1-cp312-abi3-manylinux_2_17_aarch64.manylinux2014_aarch64.whl | CPython 3.12 | abi3 | Linux glibc 2.17+ ARM64 | Details |
| polypix-0.5.1-cp312-abi3-macosx_11_0_x86_64.whl | CPython 3.12 | abi3 | macOS 11.0+ x86-64 | Details |
| polypix-0.5.1-cp312-abi3-macosx_11_0_arm64.whl | CPython 3.12 | abi3 | macOS 11.0+ ARM64 | Details |
Total release size: 2.6 MB
Release files / polypix-0.5.1.tar.gz
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