def mesh_and_extract_largest_connected_surface(volume, level_set):
vertices, faces = marching_cubes(volume, level_set)
mesh = Trimesh()
mesh.vertices = vertices
mesh.faces = faces
meshes = mesh.split(only_watertight=False)
sorted_meshes = sorted(meshes, key=lambda x: len(x.vertices))
return sorted_meshes[-1]
def voxelize(mesh: Trimesh, dims:int = 14) -> ndarray:
workdir = mkdtemp()
TMP_FILE_NAME = workdir + '/voxelization'
TMP_STL_FILE_NAME = TMP_FILE_NAME + '.stl'
TMP_BINVOX_FILE_NAME = TMP_FILE_NAME + '.binvox'
mesh.export(TMP_STL_FILE_NAME, 'stl')
cmd_std = sh(dirname(realpath(__file__)) + "/binvox", '-d' , str(dims) , TMP_STL_FILE_NAME)
vox_matrix = read_as_3d_array(open(TMP_BINVOX_FILE_NAME, 'rb'), fix_coords=True)
return vox_matrix
def __init__(self, faces=None, vertices=None, **kwargs):
"""
SuperClass for Revitinterface option
"""
RevitInterface.__init__(self, **kwargs)
Trimesh.__init__(self, vertices=vertices, faces=faces)
self._reps = {}
self._facet_centroids = None
self._convex_comps = None
self._current_rep = 'mesh'
self._axis = []
def __init__(self, faces=None, vertices=None, **kwargs):
"""
Arbitrary thing assumed to be a line-based geometry
"""
CadInterface.__init__(self, **kwargs)
Trimesh.__init__(self, vertices=vertices, faces=faces)
self._reps = {}
self._facet_centroids = None
self._current_rep = 'mesh'
self._convex_comps = None
# axis is two facet_box indices
self._axis = []
def average_properties(vertices: np.ndarray,
faces: np.ndarray,
properties: np.ndarray,
norm: bool = False) -> Union[float, np.ndarray]:
"""
Average property across an isosurface.
Args:
vertices: A (n, 3) float array of the vertices in the isosurface.
faces: A (m, 3) int array of the faces of the isosurface.
properties: A (m, ...) array of the face properties as scalars or vectors.
norm: Whether to average the norm of the properties (vector properties only).
Returns:
The averaged property.
"""
from trimesh import Trimesh
mesh = Trimesh(vertices=vertices, faces=faces)
if norm and properties.ndim > 1:
properties = np.linalg.norm(properties, axis=1)
face_areas = mesh.area_faces
# face_areas has to have same number of dimensions as property
face_areas = face_areas.reshape(face_areas.shape + (1, ) *
(properties.ndim - 1))
return np.sum(properties * face_areas, axis=0) / mesh.area
def ptcld_as_isosurf(pts, out_obj, res=128, center=False):
"""Visualizes point cloud as isosurface of its TDF.
Args:
pts (array_like): Cartesian coordinates in object space, of shape
N-by-3.
out_obj (str): The output path of the surface .obj.
res (int, optional): Resolution of the TDF.
center (bool, optional): Whether to center these points around object
space origin.
Writes
- The .obj file of the isosurface.
"""
from skimage.measure import marching_cubes_lewiner
from trimesh import Trimesh
from trimesh.io.export import export_mesh
from ..geometry.ptcld import ptcld2tdf
# Point cloud to TDF
tdf = ptcld2tdf(pts, res=res, center=center)
# Isosurface of TDF
vs, fs, ns, _ = marching_cubes_lewiner(tdf,
0.999 / res,
spacing=(1 / res, 1 / res, 1 / res))
mesh = Trimesh(vertices=vs, faces=fs, normals=ns)
export_mesh(mesh, out_obj)
def __getitem__(self, idx):
""" Returns an item of the dataset.
Args:
idx (int): ID of datasets point
"""
data_path = self.data[idx]
np_data = np.load(data_path, allow_pickle=True)
to_ret = {
'can_vertices': np_data['can_vertices'].astype(np.float32),
}
# sample points
to_ret.update(
self.sample_points(Trimesh(to_ret['can_vertices'], self.faces),
self.n_points_can,
prefix='can_'))
# proxy skinning weights
to_ret['can_points_sk_weights'] = self.compute_sk_weights(
to_ret['can_vertices'], to_ret['can_points'],
np_data['gender'].item())
return to_ret
def add_data_files(self, np_data, to_ret):
# sample training points
to_ret.update(
self.sample_points(Trimesh(to_ret['posed_vertices'], self.faces),
self.n_points_posed,
compute_occupancy=True))
to_ret.update(
self.sample_points(Trimesh(to_ret['can_vertices'], self.faces),
self.n_points_can,
prefix='can_',
compute_occupancy=True))
to_ret['can_points_sk_weights'] = self.compute_sk_weights(
to_ret['can_vertices'], to_ret['can_points'],
np_data['gender'].item())
def ptcld_as_isosurf(pts, out_obj, res=128, center=False):
"""
Visualize point cloud as isosurface of its TDF
Args:
pts: Cartesian coordinates in object space
n-by-3 array_like of floats
out_obj: The output path of the surface .obj
String
res: Resolution of the TDF
Integer
Optional; defaults to 128
center: Whether to center these points around object space origin
Boolean
Optional; defaults to False
"""
from skimage.measure import marching_cubes_lewiner
from trimesh import Trimesh
from trimesh.io.export import export_mesh
from xiuminglib import geometry as xgeo
# Point cloud to TDF
tdf = xgeo.ptcld2tdf(pts, res=res, center=center)
# Isosurface of TDF
vs, fs, ns, _ = marching_cubes_lewiner(tdf,
0.999 / res,
spacing=(1 / res, 1 / res, 1 / res))
mesh = Trimesh(vertices=vs, faces=fs, normals=ns)
export_mesh(mesh, out_obj)
def main(args):
if args.epoch is None:
epochs = Path(f"lightning_logs/version_{args.version}/checkpoints/"
).glob('*.ckpt')
epochs = list(
map(lambda x: int(re.match(r"epoch=([0-9]+)", x.stem).group(1)),
epochs))
print(epochs)
epoch = max(epochs)
else:
epoch = args.epoch
model = SALD.load_from_checkpoint(
f"lightning_logs/version_{args.version}/checkpoints/epoch={epoch}.ckpt"
)
if args.object is not None:
objId = int(args.object)
else:
objId = np.random.randint(0, model.embedding.num_embeddings)
grid = model.voxelize(objId, args.res).detach().numpy()
verts, faces, normals, values = measure.marching_cubes(grid, 0)
mesh = Trimesh(vertices=verts, faces=faces)
scene = Scene([mesh])
viewer = SceneViewer(scene)
def get_fermi_slice(
self, plane_normal: Tuple[int, int, int], distance: float = 0
) -> FermiSlice:
"""
Get a slice through the Fermi surface, defined by the intersection of a plane
with the fermi surface.
Args:
plane_normal: The plane normal in fractional indices. E.g., ``(1, 0, 0)``.
distance: The distance from the center of the Brillouin zone (the Gamma
point).
Returns:
The Fermi slice.
"""
cart_normal = np.dot(plane_normal, self.reciprocal_space.reciprocal_lattice)
cart_origin = cart_normal * distance
slices = {}
for spin, spin_isosurfaces in self.isosurfaces.items():
spin_slices = []
for verts, faces in spin_isosurfaces:
mesh = Trimesh(vertices=verts, faces=faces)
lines = mesh_multiplane(mesh, cart_origin, cart_normal, [0])[0][0]
spin_slices.append(lines)
slices[spin] = spin_slices
reciprocal_slice = self.reciprocal_space.get_reciprocal_slice(
plane_normal, distance
)
return FermiSlice(slices, reciprocal_slice, self.structure)
def calculate_scaling(local_neighborhood, local_positions,
corresponding_positions, iteration, max_iterations):
# scale oriented bounding box to be same size
# use trimesh for min OBBs
local_trimesh = Trimesh([local_positions[v] for v in local_neighborhood])
local_extents = local_trimesh.bounding_box_oriented.primitive.extents.copy(
)
local_extents.sort()
corresponding_trimesh = Trimesh([corresponding_positions.values()])
corresponding_extents = corresponding_trimesh.bounding_box_oriented.primitive.extents.copy(
)
corresponding_extents.sort()
scaling_factor = iteration / max_iterations
scaling = (local_extents + (corresponding_extents - local_extents) *
scaling_factor) / local_extents
return np.matrix(np.diag(np.append(
scaling, 1))) # matlib's diag() still makes arrays
def _to_unit_cube(mesh: trimesh.Trimesh):
bounds = mesh.extents
if bounds.min() == 0.0:
return
# translate to origin
translation = (mesh.bounds[0] + mesh.bounds[1]) * 0.5
translation = trimesh.transformations.translation_matrix(direction=-translation)
mesh.apply_transform(translation)
# scale to unit cube
scale = 1.0/bounds.max()
scale_trafo = trimesh.transformations.scale_matrix(factor=scale)
mesh.apply_transform(scale_trafo)
return mesh
def _as_box2(self):
b = Trimesh(vertices=self.vertices).convex_hull.bounding_box_oriented
bx = self.__class__(vertices=b.vertices,
faces=b.faces,
**self.base_args)
bx._reps[self._current_rep] = self
bx._current_rep = 'box'
return bx
def repair_mesh(mesh: Trimesh) -> Trimesh:
"""
Repair the given mesh using pymeshfix.
"""
mf = pymeshfix.MeshFix(mesh.vertices, mesh.faces)
mf.repair()
return Trimesh(mf.v, mf.f)
def smooth_laplacian(vertices, faces, **kwargs):
"""Smooth vertices and faces using a Laplacian filter"""
from trimesh.smoothing import filter_humphrey
from trimesh import Trimesh
kwargs.setdefault("iterations", 2)
mesh = Trimesh(vertices, faces)
filter_humphrey(mesh, **kwargs)
return mesh.vertices, mesh.faces
def connected_subsurfaces(
vertices: np.ndarray,
faces: np.ndarray) -> List[Tuple[np.ndarray, np.ndarray]]:
"""
Find connected sub-surfaces (those that share edges).
Args:
vertices: A (n, 3) float array of the vertices in the isosurface.
faces: A (m, 3) int array of the faces of the isosurface.
Returns:
A list of of (vertices, faces) for each sub-surface.
"""
from trimesh import Trimesh
mesh = Trimesh(vertices=vertices, faces=faces)
connected_meshes = mesh.split(only_watertight=False)
return [(m.vertices, m.faces) for m in connected_meshes]
def _get_points_near_surface(mesh: trimesh.Trimesh, num_query_pts_close, patch_radius, rng):
samples, face_id = mesh.sample(num_query_pts_close, return_index=True)
offset_factor = (rng.random(size=(num_query_pts_close,)) - 0.5) * 2.0 * patch_radius
sample_normals = mesh.face_normals[face_id]
sample_normals_len = np.sqrt(np.linalg.norm(sample_normals, axis=1))
sample_normals_len_broadcast = np.broadcast_to(np.expand_dims(sample_normals_len, axis=1), sample_normals.shape)
sample_normals_normalized = sample_normals / sample_normals_len_broadcast
offset_factor_broadcast = np.broadcast_to(np.expand_dims(offset_factor, axis=1), sample_normals.shape)
noisy_samples = samples + offset_factor_broadcast * sample_normals_normalized
return noisy_samples
def export_mesh_as_threejs(vertices, triangles):
vertices = vertices.astype('float')
mesh = Trimesh(vertices = vertices, faces = triangles)
mesh.fix_normals()
#add column with zeros
s = mesh.faces.shape
faces = np.zeros(shape= (s[0], s[1]+1) )
faces[:,1:4] = mesh.faces
data = {
"metadata": { "formatVersion" : 3 },
"vertices": list(mesh.vertices.reshape(-1)),
"normals": list(mesh.vertex_normals.reshape(-1)),
"faces": list(faces.reshape(-1))
}
return data
def __init__(self, vertices=None, mesh=None, debug=False, **kwargs):
if mesh is None and vertices is not None:
mesh = Trimesh(vertices=vertices).convex_hull.bounding_box_oriented
Trimesh.__init__(self, vertices=mesh.vertices, faces=mesh.faces)
vert_face = self.vertices[self.faces[self.facets]]
# facet centroids np.shape([6, 3])
self._facet_centers = vert_face.reshape(self.facets.shape[0], -1,
3).mean(axis=1)
fct_norm = self.facets_normal
mn1, mn2 = np.where(
np.isclose(spatial.distance.cdist(fct_norm, -fct_norm), 0.))
# pairs of axis points of obb : [ 3, 2]
self._pairs = np.unique([sorted(v) for v in zip(mn1, mn2)], axis=0)
lines = []
for n1, n2 in zip(self.axes_vertices[:, 0, :],
self.axes_vertices[:, 1, :]):
lines.append(lib.geo.Line(lib.geo.Point(n1), lib.geo.Point(n2)))
self._axis_skel = AxisSkeleton(lines)
def main():
parser = create_parser()
args = parser.parse_args()
print 'fname:', args.fname
g = fio.read_geometry(args.fname)
m = Trimesh(g[0], g[1])
if args.outname is None:
# (name, ext) = os.path.splitext(args.fname)
outname = '%s.stl' % args.fname
else:
outname = args.outname
print 'outname:', outname
export_mesh(m, outname)
def isosurface(self, isovalue=0.0):
from trimesh import Trimesh
from chmpy.mc import marching_cubes
vol = self.data.reshape((self.nx, self.ny, self.nz))
seps = (
np.linalg.norm(self.x_basis),
np.linalg.norm(self.y_basis),
np.linalg.norm(self.z_basis),
)
verts, faces, normals, _ = marching_cubes(vol,
level=isovalue,
spacing=seps)
return Trimesh(vertices=verts, faces=faces, normals=normals)
def isosurface_dimensionality(
fractional_vertices: np.ndarray,
faces: np.ndarray) -> Tuple[str, Tuple[int, int, int]]:
"""
Calculate isosurface properties a single isosurface (fully connected).
The vertices must cover a 3x3x3 supercell and must not have been trimmed to fit
inside the reciprocal lattice.
Note: This function expects the vertices to only belong to a single connected
mesh, and the vertices should cover a 3x3x3 supercell, where the coordinates
from -0.5 to 0.5 indicate the center image.
Args:
fractional_vertices: A (n, 3) float array of the vertices in the isosurface
in fractional coordinates.
faces: A (m, 3) int array of the faces of the isosurface.
Returns:
The dimensionality and (n, 3) int array orientation of the isosurface.
"""
from trimesh import Trimesh
if len(connected_subsurfaces(fractional_vertices, faces)) != 1:
raise ValueError("isosurface contains multiple subsurfaces")
images = connected_images(fractional_vertices)
rank = np.linalg.matrix_rank(images)
orientation = None
if rank == 1:
orientation = line_orientation(images)
dimensionality = "2D"
elif rank == 2:
orientation = plane_orientation(images)
# use euler number to decide if mesh is a plane or multiple tubes
euler_number = Trimesh(vertices=fractional_vertices,
faces=faces).euler_number
if euler_number == 1:
dimensionality = "1D"
else:
dimensionality = "quasi-2D"
elif rank == 0:
dimensionality = "3D"
else:
dimensionality = "quasi-3D"
return dimensionality, orientation
def __init__(self, files):
if isinstance(files, tuple):
white = read_geometry(files[0])
pial = read_geometry(files[1])
vertices = (pial[0] - white[0]) / 2
faces = pial[1]
else:
mid = read_geometry(files)
vertices = mid[0]
faces = mid[1]
self.vertices = vertices
self.faces = faces
self.mesh = Trimesh(vertices=self.vertices, faces=self.faces)
def isosurface_area(vertices: np.ndarray, faces: np.ndarray) -> float:
"""
Calculate the area of an isosurface.
Args:
vertices: A (n, 3) float array of the vertices in the isosurface.
faces: A (m, 3) int array of the faces of the isosurface.
Returns:
The area of the isosurface, in Å^-2.
"""
from trimesh import Trimesh
mesh = Trimesh(vertices=vertices, faces=faces)
return mesh.area
def create_trimesh_from_obj(obj):
vertices, faces = get_vertices_and_faces(obj)
tmesh = Trimesh(vertices=vertices, faces=faces)
if tmesh.is_empty:
raise ValueError("Mesh is empty!")
if not tmesh.is_watertight:
raise ValueError("Mesh is not watertight (has holes)!")
if not tmesh.is_winding_consistent:
raise ValueError("Mesh is not winding consistent!")
if tmesh.body_count > 1:
raise ValueError("Mesh consists of more than one connected component (bodies)!")
return tmesh
def gen_intersecting_mesh(base_mesh, bodies):
"""Generates mesh of tows that are intersecting with ray offset
Parameters
----------
base_mesh : Trimesh
Mesh of exisiting tows already laid down
bodies: set(int)
Indexes of bodies intersecting with the new tow
Returns
-------
Trimesh
Subset of base_mesh, containing only the tows from bodies
"""
# Create copy of mesh so to not change any face data
mesh_copy = base_mesh
# Body count should be equivalent to the number of tows - make sure not to merge vertices
body_count = mesh_copy.body_count
# Split mesh modies into individual tow meshes
mesh_bodies = mesh_copy.split(only_watertight=False)
if (len(bodies) is 0):
return Trimesh()
# Based on interesting bodies, create new mesh with only those bodies
intersecting = Trimesh()
for i in bodies:
if intersecting.is_empty:
intersecting = mesh_bodies[i - 1]
else:
intersecting = intersecting.__add__(mesh_bodies[i - 1])
return intersecting
def make_mesh(norms: ndarray, vertices: ndarray) -> Trimesh:
# Convert to Mesh coordinates
faces = []
verts = []
for idx in range(0, len(norms)):
norm_x, norm_y, norm_z = norms[idx]
x1, y1, z1, x2, y2, z2, x3, y3, z3 = vertices[idx]
faces += [[norm_x, norm_y, norm_z]]
verts += [[x1, y1, z1], [x2, y2, z2], [x3, y3, z3]]
# Convert to Mesh
return Trimesh(vertices=array(verts),
faces=arange(int(len(faces) * 3)).reshape((-1, 3)),
face_normals=array(faces))
def cut_by_plane(self, projection=SAGITTAL, ras=ORIGIN):
"""
:param projection:
:param ras:
:return: Y_array, X_array
"""
mesh = Trimesh(self.vertices, self.triangles)
contours = intersections.mesh_plane(
mesh, PLANE_NORMALS[projection], self._get_plane_origin(ras))
x_array = [0] * len(contours)
y_array = [0] * len(contours)
for s in range(len(contours)):
x_array[s] = contours[s][:, X_Y_INDEX[projection][0]]
y_array[s] = contours[s][:, X_Y_INDEX[projection][1]]
return x_array, y_array
def vtk2trimesh(mesh):
"""
Convert ``vtkplotter.Mesh`` to ``Trimesh.Mesh`` object.
"""
if isSequence(mesh):
tms = []
for a in mesh:
tms.append(vtk2trimesh(a))
return tms
from trimesh import Trimesh
lut = mesh.mapper().GetLookupTable()
tris = mesh.faces()
carr = mesh.getCellArray('CellColors')
ccols = None
if carr is not None and len(carr) == len(tris):
ccols = []
for i in range(len(tris)):
r, g, b, a = lut.GetTableValue(carr[i])
ccols.append((r * 255, g * 255, b * 255, a * 255))
ccols = np.array(ccols, dtype=np.int16)
points = mesh.points()
varr = mesh.getPointArray('VertexColors')
vcols = None
if varr is not None and len(varr) == len(points):
vcols = []
for i in range(len(points)):
r, g, b, a = lut.GetTableValue(varr[i])
vcols.append((r * 255, g * 255, b * 255, a * 255))
vcols = np.array(vcols, dtype=np.int16)
if len(tris) == 0:
tris = None
return Trimesh(vertices=points,
faces=tris,
face_colors=ccols,
vertex_colors=vcols)
def vtk2trimesh(actor):
"""
Convert vtk ``Actor`` to ``Trimesh`` object.
"""
if isSequence(actor):
tms = []
for a in actor:
tms.append(vtk2trimesh(a))
return tms
from trimesh import Trimesh
lut = actor.mapper().GetLookupTable()
tris = actor.faces()
carr = actor.scalars('CellColors', datatype='cell')
ccols = None
if carr is not None and len(carr) == len(tris):
ccols = []
for i in range(len(tris)):
r, g, b, a = lut.GetTableValue(carr[i])
ccols.append((r * 255, g * 255, b * 255, a * 255))
ccols = np.array(ccols, dtype=np.int16)
points = actor.coordinates()
varr = actor.scalars('VertexColors', datatype='point')
vcols = None
if varr is not None and len(varr) == len(points):
vcols = []
for i in range(len(points)):
r, g, b, a = lut.GetTableValue(varr[i])
vcols.append((r * 255, g * 255, b * 255, a * 255))
vcols = np.array(vcols, dtype=np.int16)
if len(tris) == 0:
tris = None
return Trimesh(vertices=points,
faces=tris,
face_colors=ccols,
vertex_colors=vcols)
def box_from_bounds(mn, mx):
"""
in a right-hand system :
3-------7
/| /|
2-------6 |
| 1-----|-5
|/ |/
0-------4
OBB returns points thusly:
0 (self.max[0], self.max[1], self.min[2])),
1 (self.min[0], self.max[1], self.min[2])),
2 (self.min[0], self.max[1], self.max[2])),
3 (self.max),
4 (self.min),
5 self.max[0], self.min[1], self.min[2]),
6 self.max[0], self.min[1], self.max[2]),
7 self.min[0], self.min[1], self.max[2])
"""
vs = [
mn, [mn[0], mx[1], mn[2]], [mn[0], mn[1], mx[2]],
[mn[0], mx[1], mx[2]], [mx[0], mn[1], mn[2]], [mx[0], mx[1], mn[2]],
[mx[0], mn[1], mx[2]], mx
]
fcs = np.asarray([
[0, 1, 2],
[1, 2, 3],
[0, 1, 4],
[1, 4, 5],
[0, 2, 4],
[2, 4, 6],
[2, 3, 6],
[2, 6, 7],
[4, 5, 6],
[5, 6, 7],
[3, 5, 7],
[1, 3, 5],
])
return Trimesh(vertices=vs, faces=fcs, process=True).bounding_box
