Created
September 15, 2019 17:16
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def generate_3D_path_meshes_2D(path, p=(0, 0, 1)): | |
"""Generates list of mesh vertices and triangles from a path | |
Parameters | |
---------- | |
path : (N, D) array | |
Vertices specifying the path where D is 2 or 3. | |
p : 3-tuple, optional | |
orthogonal vector for segment calculation in 3D. | |
Returns | |
---------- | |
centers : (4N-4, D) array | |
Vertices of all triangles for the lines | |
offsets : (4N-4, D) array | |
offsets of all triangles for the lines | |
triangles : (2N-2, 3) array | |
Vertex indices that form the mesh triangles | |
""" | |
ndim = path.shape[1] | |
centers = np.repeat(path, 4, axis=0)[2:-2] | |
offsets = segment_normal(path[:-1, :], path[1:, :], p=p) | |
offsets = np.repeat(offsets, 4, axis=0) | |
signs = np.ones((len(offsets), ndim)) | |
signs[::2] = -1 | |
offsets = offsets * signs | |
triangles = np.array( | |
[ | |
[2 * i, 2 * i + 1, 2 * i + 2] | |
if i % 2 == 0 | |
else [2 * i - 1, 2 * i, 2 * i + 1] | |
for i in range(2 * len(path) - 2) | |
] | |
).astype(np.uint32) | |
return centers, offsets, triangles | |
def generate_3D_path_meshes(path): | |
"""Generates list of mesh vertices and triangles from a path | |
Parameters | |
---------- | |
path : (N, D) array | |
Vertices specifying the path where D is 2 or 3. | |
Returns | |
---------- | |
centers : (4N-4, D) array | |
Vertices of all triangles for the lines | |
offsets : (4N-4, D) array | |
offsets of all triangles for the lines | |
triangles : (2N-2, 3) array | |
Vertex indices that form the mesh triangles | |
""" | |
ndim = path.shape[1] | |
if ndim == 2: | |
centers, offsets, triangles = generate_3D_path_meshes_2D(path) | |
else: | |
c_a, o_a, t_a = generate_3D_path_meshes_2D(path, p=(0, 0, 1)) | |
c_b, o_b, t_b = generate_3D_path_meshes_2D(path, p=(1, 0, 0)) | |
centers = np.concatenate([c_a, c_b], axis=0) | |
triangles = np.concatenate([t_a, len(c_a) + t_b], axis=0) | |
offsets = np.concatenate([o_a, o_b], axis=0) | |
return centers, offsets, triangles |
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