fast-edges-extraction
Cython implementation of edges extraction from triangles as well as adjacency information (edge degrees and adjacent points/triangles for manifold and boundary edges).
pip install fast-edges-extraction
Example
- Extract the edges from the triangles
from fast_edges_extraction import extract_edges
triangles = [
[0, 1, 2],
[1, 2, 3],
]
edges = extract_edges(triangles)
print(edges)
Out:
[[0 1]
[0 2]
[1 2]
[1 3]
[2 3]]
- Also extract adjacency information
# Extract edges, degrees, and adjacency information (triangles and points)
edges, degrees, t_a, p_a = extract_edges(triangles, return_adjacency=True)
# Extract manifold (2 adjacent triangles) and boundary (1 adjacent triangle) edges
manifold_edges = edges[degrees == 2]
boundary_edges = edges[degrees == 1]
other = edges[degrees > 2]
# For each manifold edge, extract the adjacent triangles and points
manifold_adjacent_triangles = t_a[degrees == 2]
manifold_adjacent_points = p_a[degrees == 2]
# For each boundary edge, extract the adjacent triangle and point
boundary_adjacent_triangles = t_a[degrees == 1][:, 0]
boundary_adjacent_points = p_a[degrees == 1][:, 0]
print("Number of manifold edges:", len(manifold_edges))
print("Number of boundary edges:", len(boundary_edges))
print("Number of other edges:", len(other))
print()
print("Manifold edges:\n---------------")
for i in range(len(manifold_edges)):
adjacent_triangles_indices = manifold_adjacent_triangles[i]
adjacent_points_indices = manifold_adjacent_points[i]
adjacent_triangles = [triangles[i] for i in adjacent_triangles_indices]
print(f"Edge {manifold_edges[i]}, ", end="")
print(f"adjacent triangles: {adjacent_triangles}, ", end="")
print(f"adjacent points: {adjacent_points_indices}")
print("\nBoundary edges:\n---------------")
for i in range(len(boundary_edges)):
adjacent_triangle_indice = boundary_adjacent_triangles[i]
adjacent_point_indice = boundary_adjacent_points[i]
adjacent_triangle = triangles[adjacent_triangle_indice]
print(f"Edge {boundary_edges[i],}", end=" ")
print(f"adjacent triangles: {adjacent_triangle},", end=" ")
print(f"adjacent points: {adjacent_point_indice}")
Out:
Number of manifold edges: 1
Number of boundary edges: 4
Number of other edges: 0
Manifold edges:
---------------
Edge [1 2], adjacent triangles: [[0, 1, 2], [1, 2, 3]], adjacent points: [0 2]
Boundary edges:
---------------
Edge (array([0, 1]),) adjacent triangles: [0, 1, 2], adjacent points: 2
Edge (array([0, 2]),) adjacent triangles: [0, 1, 2], adjacent points: 1
Edge (array([1, 3]),) adjacent triangles: [1, 2, 3], adjacent points: 1
Edge (array([2, 3]),) adjacent triangles: [1, 2, 3], adjacent points: 0
1 maintainer
Metadata
1 maintainer
Release files for fast-edges-extraction 0.1.5
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