Fast point-to-edge distances
Computes the distance and closest point from a set of points to a set of line segments relatively efficiently. The code is fast because:
- It is written in C++ (as a header-only library). It is exposed to Python with Cython.
- It uses axis-aligned bounding boxes for culling or in a hierarchy.
Example
The Python function signatures are:
def SlowDistances( Real[:,::1] P, Real[:,::1] Points, Index[:,::1] LineSegments ):
def AABBDistances( Real[:,::1] P, Real[:,::1] Points, Index[:,::1] LineSegments ):
def AABBTreeDistances( Real[:,::1] P, Real[:,::1] Points, Index[:,::1] LineSegments ):
'''
Given:
P: An N-by-2 array of (2D) points whose distance to query.
Points: A K-by-2 array of (2D) points involved in the line segments.
LineSegments: An E-by-2 array of pairs of indices into `Points`, one for each line segment.
Returns:
A length-N array of distances, one for each point in `P`, from that point to the line segments.
A length-N array of closest points, one for each point in `P`, from that point to the line segments.
'''
For example:
import edge_distance_aabb
## Create some edges
Points = np.array( [ [ 0, 0 ], [ 1, 1 ], [ 2, 0 ] ], float )
LineSegments = np.array( [ [ 0, 1 ], [ 1, 2 ] ] )
print( "Points:", Points )
print( "LineSegments:", LineSegments )
## We want the distance to the following points
P = np.array( [ [ 0, 0 ], [ 0, 1 ], [ 1, 0 ], [ 2, 1 ], [ 2, 0 ] ], float )
print( "P:", P )
## Compute distances and closest points using AABB to cull edges.
distances, closest_points = edge_distance_aabb.AABBDistances( P, Points, LineSegments )
print( "distances (should be: 0, √2/2, √2/2, √2/2, 0):", distances )
print( "closest_points (should be: (0,0), (½,½), (½ or 1½,½), (1½,½), (2,0) ):", closest_points )
Installation
- From PyPI:
pip install edge_distance_aabb
- From GitHub:
pip install git+https://github.com/yig/edge_distance_aabb.git
- By copying
edge_distance_aabb.pyxandedge_distance_aabb.hinto your directory and runningcythonize --build edge_distance_aabb.pyx.
Dependencies
numpy and Cython
Distribution
python3 -m build
twine upload dist/*
1 maintainer
Metadata
1 maintainer
Release files for edge-distance-aabb 1.0.1
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 | |
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| edge_distance_aabb-1.0.1.tar.gz | 118.6 kB | Without provenance | Details |
Built distributions (wheels)
Total release size: 18.9 MB
Release files / edge_distance_aabb-1.0.1.tar.gz
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