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try:
from . import generic as g
except BaseException:
import generic as g
class CurvatureTest(g.unittest.TestCase):
def test_gaussian_curvature(self):
for radius in g.np.linspace(0.25, 2.0, 10):
m = g.trimesh.creation.icosphere(radius=radius)
gauss = g.trimesh.curvature.discrete_gaussian_curvature_measure(
mesh=m, points=m.vertices, radius=radius * 2.0
) / (4 * g.np.pi)
assert g.np.allclose(gauss, 1.0, atol=0.01)
# a torus should have approximately half its vertices with positive
# curvature, and half with negative
t = g.get_mesh("torus.STL")
gauss = g.trimesh.curvature.discrete_gaussian_curvature_measure(
mesh=t, points=t.vertices, radius=1.0
)
ratio = float((gauss < 0.0).sum()) / float(len(gauss))
assert g.np.isclose(ratio, 0.5, atol=0.2)
def test_mean_curvature(self):
m = g.trimesh.creation.icosphere()
mean = g.trimesh.curvature.discrete_mean_curvature_measure(m, m.vertices, 2.0) / (
4 * g.np.pi
)
# Check mean curvature for unit sphere is 1.0
assert g.np.allclose(mean, 1.0, atol=0.01)
def test_vertex_defect(self):
# a subdivided box will only have corners and planar regions
# so all vertex defects should be 0 or 90 degrees
m = g.trimesh.primitives.Box().subdivide()
assert g.np.logical_or(
g.np.isclose(m.vertex_defects, 0.0),
g.np.isclose(m.vertex_defects, g.np.pi / 2.0),
).all()
assert len(m.vertex_defects) == len(m.vertices)
if __name__ == "__main__":
g.trimesh.util.attach_to_log()
g.unittest.main()
|
