def supports(self, c):
other = pymesh.form_mesh(
c.component_mesh.vertices - numpy.array([0, 0, (c.z - self.z)]),
c.component_mesh.faces)
pymesh.remove_duplicated_vertices(other)
pymesh.remove_duplicated_faces(other)
intersection = pymesh.boolean(self.component_mesh, other,
'intersection')
pymesh.remove_duplicated_vertices(intersection)
pymesh.remove_duplicated_faces(intersection)
intersection.add_attribute("face_area")
intersection_area = sum(intersection.get_attribute("face_area"))
return intersection_area >= 0.2 * self.area()
def clean_up_mesh(mesh, tol):
new_mesh, _ = pymesh.remove_isolated_vertices(mesh)
new_mesh, _ = pymesh.remove_duplicated_vertices(new_mesh)
new_mesh, _ = pymesh.remove_duplicated_faces(new_mesh)
new_mesh, _ = pymesh.remove_degenerated_triangles(new_mesh)
new_mesh, _ = pymesh.collapse_short_edges(new_mesh, rel_threshold=0.2)
return new_mesh
def clean_mesh(mesh, connected=True, fill_internals=False):
print('\t - Cleaning mesh (this may take a moment)')
vert_list = []
mesh, info = pymesh.remove_isolated_vertices(mesh)
mesh, info = pymesh.remove_duplicated_vertices(mesh)
mesh, info = pymesh.remove_degenerated_triangles(mesh)
mesh, info = pymesh.remove_duplicated_faces(mesh)
if connected or fill_internals:
mesh_list = pymesh.separate_mesh(mesh, 'auto')
max_verts = 0
print(' - Total number of meshes (ideally 1): %d' % len(mesh_list))
for mesh_obj in mesh_list:
nverts = mesh_obj.num_vertices
if nverts > max_verts:
max_verts = nverts
mesh = mesh_obj
if fill_internals:
for mesh_obj in mesh_list:
if mesh_obj.num_vertices != max_verts:
vert_list.append(mesh_obj.vertices)
return mesh, vert_list
return mesh, vert_list
def remove_duplicated_points(points, tol=0.0001):
'''
input is a numpy array: Nx3
'''
fake_faces = np.array([[0, 1, 2]])
mesh = pymesh.form_mesh(points, fake_faces)
mesh, info = pymesh.remove_duplicated_vertices(mesh, tol)
print('#Merged points: {}'.format(info["num_vertex_merged"]))
return mesh.vertices
def load_mesh(path: Path) -> "threedframe.lib.PyMesh.python.Mesh.Mesh":
mesh = pymesh.load_mesh(str(path))
mesh, _ = pymesh.remove_duplicated_faces(mesh)
mesh, _ = pymesh.remove_duplicated_vertices(mesh)
mesh.add_attribute("face_area")
mesh.add_attribute("face_normal")
mesh.add_attribute("face_centroid")
mesh.add_attribute("vertex_normal")
mesh.enable_connectivity()
return mesh
def fix_mesh(mesh, resolution, detail="normal"):
bbox_min, bbox_max = mesh.bbox
diag_len = norm(bbox_max - bbox_min)
if detail == "normal":
target_len = diag_len * 5e-3
elif detail == "high":
target_len = diag_len * 2.5e-3
elif detail == "low":
target_len = diag_len * 1e-2
target_len = resolution
#print("Target resolution: {} mm".format(target_len));
# PGC 2017: Remove duplicated vertices first
mesh, _ = pymesh.remove_duplicated_vertices(mesh, 0.001)
count = 0
print "Removing degenerated triangles"
mesh, __ = pymesh.remove_degenerated_triangles(mesh, 100)
mesh, __ = pymesh.split_long_edges(mesh, target_len)
num_vertices = mesh.num_vertices
while True:
mesh, __ = pymesh.collapse_short_edges(mesh, 1e-6)
mesh, __ = pymesh.collapse_short_edges(mesh,
target_len,
preserve_feature=True)
mesh, __ = pymesh.remove_obtuse_triangles(mesh, 150.0, 100)
if mesh.num_vertices == num_vertices:
break
num_vertices = mesh.num_vertices
#print("#v: {}".format(num_vertices));
count += 1
if count > 10: break
mesh = pymesh.resolve_self_intersection(mesh)
mesh, __ = pymesh.remove_duplicated_faces(mesh)
mesh = pymesh.compute_outer_hull(mesh)
mesh, __ = pymesh.remove_duplicated_faces(mesh)
mesh, __ = pymesh.remove_obtuse_triangles(mesh, 179.0, 5)
mesh, __ = pymesh.remove_isolated_vertices(mesh)
mesh, _ = pymesh.remove_duplicated_vertices(mesh, 0.001)
return mesh
def clean(vertices, faces, duplicate_tol=1e-12):
mesh = pymesh.meshio.form_mesh(vertices, faces)
mesh = pymesh.remove_isolated_vertices(mesh)[0]
mesh = pymesh.remove_duplicated_vertices(mesh, tol=duplicate_tol)[0]
mesh = remove_duplicated_faces(mesh)[0]
# mesh = pymesh.remove_duplicated_faces(mesh, fins_only=True)[0]
mesh = pymesh.remove_degenerated_triangles(mesh)[0]
mesh = pymesh.resolve_self_intersection(mesh)
# meshes = pymesh.separate_mesh(mesh)
# for i, mesh in enumerate(meshes):
# meshes[i] = make_face_normals_consistent(mesh)
# mesh = pymesh.merge_meshes(meshes)
return mesh.vertices, mesh.faces
def link(path1):
"""
This function takes a path to the orginal shapenet model and subsample it nicely
"""
obj1 = pymesh.load_mesh(path1)
# obj1, info = pymesh.remove_isolated_vertices(mesh)
obj1, info = pymesh.remove_isolated_vertices(obj1)
print("Removed {} isolated vertices".format(info["num_vertex_removed"]))
obj1, info = pymesh.remove_duplicated_vertices(obj1)
print("Merged {} duplicated vertices".format(info["num_vertex_merged"]))
obj1, info = pymesh.remove_degenerated_triangles(obj1)
new_mesh = pymesh.form_mesh(
normalize_points.BoundingBox(torch.from_numpy(obj1.vertices)).numpy(),
obj1.faces)
return new_mesh
def remesh(path1):
"""
This function takes a path to the orginal shapenet model and subsample it nicely
"""
obj1 = pymesh.load_mesh(path1)
obj1, info = pymesh.remove_isolated_vertices(obj1)
print("Removed {} isolated vertices".format(info["num_vertex_removed"]))
obj1, info = pymesh.remove_duplicated_vertices(obj1)
print("Merged {} duplicated vertices".format(info["num_vertex_merged"]))
obj1, _ = pymesh.remove_degenerated_triangles(obj1)
if len(obj1.vertices) < 5000:
while len(obj1.vertices) < 5000:
obj1 = pymesh.subdivide(obj1)
obj1 = pymesh.form_mesh(obj1.vertices, obj1.faces)
return obj1
def read_trimesh(path, normal=False, clean=True):
mesh = pymesh.load_mesh(path)
if clean:
mesh, info = pymesh.remove_isolated_vertices(mesh)
print("Removed {} isolated vertices".format(info["num_vertex_removed"]))
mesh, info = pymesh.remove_duplicated_vertices(mesh)
print("Merged {} duplicated vertices".format(info["num_vertex_merged"]))
mesh, info = pymesh.remove_degenerated_triangles(mesh)
mesh = pymesh.form_mesh(mesh.vertices, mesh.faces)
vertices = mesh.vertices
if normal:
mesh.add_attribute("vertex_normal")
vertex_normals = mesh.get_attribute("vertex_normal").reshape(-1, 3)
vertices = np.concatenate([vertices, vertex_normals], axis=-1)
return vertices, mesh.faces
def execute(self, context):
scene = context.scene
pymesh_props = scene.pymesh
obj_a = context.active_object
mesh_a = import_object(context, obj_a)
pymesh_r, info = pymesh.remove_degenerated_triangles(mesh_a)
pymesh_r, info = pymesh.remove_obtuse_triangles(pymesh_r)
pymesh_r, info = pymesh.remove_duplicated_faces(pymesh_r)
pymesh_r, info = pymesh.collapse_short_edges(pymesh_r)
pymesh_r, info = pymesh.remove_duplicated_vertices(pymesh_r)
pymesh_r, info = pymesh.remove_isolated_vertices(pymesh_r)
off_name = "Py.Clean." + obj_a.name
mesh_r = export_mesh(context, pymesh_r, off_name)
add_to_scene(context, mesh_r)
return {'FINISHED'}
def fix_mesh(mesh, detail=5e-3):
# "normal": 5e-3
# "high": 2.5e-3
# "low": 2e-2
# "vlow": 2.5e-2
bbox_min, bbox_max = mesh.bbox
diag_len = np.linalg.norm(bbox_max - bbox_min)
if detail is None:
detail = 5e-3
target_len = diag_len * detail
print("Target resolution: {} mm".format(target_len))
count = 0
mesh, __ = pymesh.remove_degenerated_triangles(mesh, 100)
mesh, __ = pymesh.split_long_edges(mesh, target_len)
num_vertices = mesh.num_vertices
while True:
mesh, __ = pymesh.collapse_short_edges(mesh, 1e-4)
mesh, __ = pymesh.collapse_short_edges(mesh,
target_len,
preserve_feature=True)
mesh, __ = pymesh.remove_isolated_vertices(mesh)
mesh, __ = pymesh.remove_duplicated_vertices(mesh, tol=1e-4)
mesh, __ = pymesh.remove_duplicated_faces(mesh)
mesh, __ = pymesh.remove_degenerated_triangles(mesh)
mesh, __ = pymesh.remove_isolated_vertices(mesh)
mesh, __ = pymesh.remove_obtuse_triangles(mesh, 150.0, 100)
if mesh.num_vertices == num_vertices:
break
num_vertices = mesh.num_vertices
print("fix #v: {}".format(num_vertices))
count += 1
if count > 10:
break
mesh = pymesh.resolve_self_intersection(mesh)
mesh, __ = pymesh.remove_duplicated_faces(mesh)
mesh = pymesh.compute_outer_hull(mesh)
mesh, __ = pymesh.remove_duplicated_faces(mesh)
mesh, __ = pymesh.remove_obtuse_triangles(mesh, 179.0, 5)
mesh, __ = pymesh.remove_isolated_vertices(mesh)
return mesh
def merge(mesh_list):
resulting_vertices = []
resulting_faces = []
count_vertices = 0
# Add all the faces and all the vertices from the next patch to the resulting mesh
for mesh in mesh_list:
for vertice in mesh.vertices:
resulting_vertices.append(vertice)
for face in mesh.faces:
resulting_faces.append(np.add(face, count_vertices))
count_vertices += mesh.num_vertices
merged_mesh = pymesh.form_mesh(np.array(resulting_vertices),
np.array(resulting_faces))
resulting_mesh, _ = pymesh.remove_duplicated_vertices(merged_mesh)
return resulting_mesh
def extract_texture_boundary(self):
if self.boundary_color is None:
color = color_table["black"]
elif self.boundary_color == "random":
color = ColorMap("RdYlBu").get_color(
random.choice([0.1, 0.3, 0.5, 0.7, 0.9]))
else:
assert (self.boundary_color in color_table)
color = color_table[self.boundary_color]
vertices = self.mesh.vertices
faces = self.mesh.faces
uv = self.texture_coordinates
num_faces, vertex_per_face = faces.shape
assert (len(uv) == num_faces * vertex_per_face)
uv_faces = np.arange(len(uv), dtype=int).reshape((-1, vertex_per_face))
mesh = pymesh.form_mesh(uv, uv_faces)
mesh, info = pymesh.remove_duplicated_vertices(mesh)
index_map = info["index_map"]
input_vertex_index = faces.ravel()
output_vertex_index = np.ones(mesh.num_vertices, dtype=int) * -1
output_vertex_index[index_map] = input_vertex_index
assert (np.all(output_vertex_index >= 0))
radius = self.boundary_radius / self.scale
bd_edges = output_vertex_index[mesh.boundary_edges]
for e in bd_edges:
v0 = vertices[e[0]]
v1 = vertices[e[1]]
assert (np.all(np.isfinite(v0)))
assert (np.all(np.isfinite(v1)))
if numpy.linalg.norm(v0 - v1) <= radius:
continue
cylinder = Cylinder(v0, v1, radius)
cylinder.color = color
self.primitives.append(cylinder)
bd_vertices = np.unique(bd_edges.ravel())
for v in bd_vertices:
ball = Sphere(vertices[v, :], radius)
ball.color = color
self.primitives.append(ball)
def load_mesh(path):
mesh = pymesh.load_mesh(path)
pymesh.remove_duplicated_vertices(mesh, tol=1e-12, importance=None)
return mesh
def main():
args = parse_args()
mesh = pymesh.load_mesh(args.input_mesh)
if not mesh.has_attribute("corner_texture"):
raise RuntimeError("Mesh contains no uv!")
mesh.add_attribute("face_area")
uv = mesh.get_attribute("corner_texture").reshape((-1, 2))
if len(uv) == 0:
raise RuntimeError("Invalid uv size.")
faces = np.arange(mesh.num_faces * mesh.vertex_per_face).reshape(
(-1, mesh.vertex_per_face))
uv_mesh = pymesh.form_mesh(uv, faces)
uv_mesh.add_attribute("face_area")
ori_area = mesh.get_face_attribute("face_area")
uv_area = uv_mesh.get_face_attribute("face_area")
area_ratio = np.divide(uv_area, ori_area)
uv_mesh.add_attribute("area_ratio")
uv_mesh.set_attribute("area_ratio", area_ratio)
mesh.add_attribute("area_ratio")
mesh.set_attribute("area_ratio", area_ratio)
mesh.add_attribute("u")
mesh.set_attribute("u", uv[:, 0])
if (args.separate):
uv_mesh, info = pymesh.remove_duplicated_vertices(uv_mesh)
comps = pymesh.separate_mesh(uv_mesh)
segments = []
uv = uv.reshape((-1, 6), order="C")
vertices = mesh.vertices
combined_uv = []
for comp in comps:
ori_vertex_indices = comp.get_attribute(
"ori_vertex_index").ravel()
ori_elem_indices = comp.get_attribute(
"ori_elem_index").ravel().astype(int)
segment = pymesh.submesh(mesh, ori_elem_indices, 0)
ori_face_indices = segment.get_attribute(
"ori_face_index").ravel().astype(int)
ori_uv = uv[ori_face_indices]
combined_uv.append(ori_uv)
segment.add_attribute("corner_texture")
segment.set_attribute("corner_texture", ori_uv.ravel())
segments.append(segment)
combined_uv = np.vstack(combined_uv)
mesh = pymesh.merge_meshes(segments)
mesh.add_attribute("corner_texture")
mesh.set_attribute("corner_texture", combined_uv.ravel(order="C"))
elif args.cut:
uv_mesh, info = pymesh.remove_duplicated_vertices(uv_mesh)
index_map = info["index_map"]
vertices = mesh.vertices
faces = mesh.faces
vertices = vertices[faces.ravel(order="C")]
new_vertices = np.zeros((uv_mesh.num_vertices, 3))
new_vertices[index_map] = vertices
mesh = pymesh.form_mesh(new_vertices, uv_mesh.faces)
mesh.add_attribute("corner_texture")
mesh.set_attribute("corner_texture", uv)
if args.save_uv:
pymesh.save_mesh(args.output_mesh, uv_mesh, *uv_mesh.attribute_names)
else:
pymesh.save_mesh(args.output_mesh, mesh, *mesh.attribute_names)
def fix_meshes(mesh, detail="normal"):
"""
A pipeline to optimise and fix mesh based on pymesh Mesh object.
1. A box is created around the mesh.
2. A target length is found based on diagonal of the mesh box.
3. You can choose between 3 level of details, normal details settings seems to be a good compromise between
final mesh size and sufficient number of vertices. It highly depends on your final goal.
4. Remove degenerated triangles aka collinear triangles composed of 3 aligned points. The number of iterations is 5
and should remove all degenerated triangles
5. Remove isolated vertices, not connected to any faces or edges
6. Remove self intersection edges and faces which is not realistic
7. Remove duplicated faces
8. The removing of duplicated faces can leave some vertices alone, we will removed them
9. The calculation of outer hull volume is useful to be sure that the mesh is still ok
10. Remove obtuse triangles > 179 who is not realistic and increase computation time
11. We will remove potential duplicated faces again
12. And duplicated vertices again
13. Finally we will look if the mesh is broken or not. If yes we will try lower settings, if the lowest settings
broke the mesh we will return the initial mesh. If not, we will return the optimised mesh.
:param mesh: Pymesh Mesh object to optimise
:param detail: string 'high', 'normal' or 'low' ('normal' as default), or float/int
Settings to choose the targeting minimum length of edges
:return: Pymesh Mesh object
An optimised mesh or not depending on detail settings and mesh quality
"""
meshCopy = mesh
# copy/pasta of pymesh script fix_mesh from qnzhou, see pymesh on GitHub
bbox_min, bbox_max = mesh.bbox
diag_len = np.linalg.norm(bbox_max - bbox_min)
if detail == "normal":
target_len = diag_len * 5e-3
elif detail == "high":
target_len = diag_len * 2.5e-3
elif detail == "low":
target_len = diag_len * 1e-2
elif detail is float or detail is int and detail > 0:
target_len = diag_len * detail
else:
print(
'Details settings is invalid, must be "low", "normal", "high" or positive int or float'
)
quit()
count = 0
mesh, __ = pymesh.remove_degenerated_triangles(mesh, 5)
mesh, __ = pymesh.split_long_edges(mesh, target_len)
num_vertices = mesh.num_vertices
while True:
mesh, __ = pymesh.collapse_short_edges(mesh,
target_len,
preserve_feature=True)
mesh, info = pymesh.remove_obtuse_triangles(mesh, 179.0, 5)
if mesh.num_vertices == num_vertices:
break
num_vertices = mesh.num_vertices
count += 1
if count > 10:
break
mesh, __ = pymesh.remove_duplicated_vertices(mesh)
mesh, __ = pymesh.remove_isolated_vertices(mesh)
mesh = pymesh.resolve_self_intersection(mesh)
mesh, __ = pymesh.remove_duplicated_faces(mesh)
mesh, __ = pymesh.remove_duplicated_vertices(mesh)
mesh = pymesh.compute_outer_hull(mesh)
mesh, __ = pymesh.remove_obtuse_triangles(mesh, 179.0, 5)
mesh, __ = pymesh.remove_duplicated_faces(mesh)
mesh, __ = pymesh.remove_isolated_vertices(mesh)
if is_mesh_broken(mesh, meshCopy) is True:
if detail == "high":
print(
f'The function fix_meshes broke mesh, trying with lower details settings'
)
fix_meshes(meshCopy, detail="normal")
return mesh
if detail == "normal":
print(
f'The function fix_meshes broke mesh, trying with lower details settings'
)
mesh = fix_meshes(meshCopy, detail="low")
return mesh
if detail == "low":
print(
f'The function fix_meshes broke mesh, no lower settings can be applied, no fix was done'
)
return meshCopy
else:
return mesh
def symmetrize(verts, faces, eps=1e-3):
"""
verts: N,3 (x,y,z) tensor
faces: F,3 (0,1,2) tensor
Modifies mesh to make it symmetric about y-z plane
- Cut mesh into half
- Copy left half into right half
- merge, remove duplicate vertices
"""
# Snap vertices close to centre to centre
verts_centre_mask = (verts[:,0].abs() < eps)
verts[verts_centre_mask, 0] = 0
# import pymesh
pmesh = pymesh.form_mesh(verts.numpy(), faces.numpy())
pymesh.save_mesh(f'csm_mesh/debug/1.obj', pmesh)
# Categorize vertices into left (-1), centre(0), right(1)
verts_side = torch.sign(verts[:,0])
# Categorize faces into left (-1), centre(0), right(1)
face_verts_side = torch.index_select(verts_side, 0, faces.view(-1))
face_verts_side = face_verts_side.contiguous().view(faces.shape[0], 3)
face_left_mask = (face_verts_side[:,0]==-1) & (face_verts_side[:,1]==-1) & (face_verts_side[:,2]==-1)
face_right_mask = (face_verts_side[:,0]==1) & (face_verts_side[:,1]==1) & (face_verts_side[:,2]==1)
face_intesects_yz = (~face_left_mask) & (~face_right_mask)
# Split intersecting faces
new_verts = []
new_faces = []
for f in face_intesects_yz.nonzero().squeeze(1):
i0, i1, i2 = faces[f]
if verts_side[i0]==verts_side[i1]:
i0, i1, i2 = i2, i0, i1
elif verts_side[i2]==verts_side[i1]:
i0, i1, i2 = i0, i1, i2
elif verts_side[i0]==verts_side[i2]:
i0, i1, i2 = i1, i0, i2
elif verts_side[i0]==-1:
i0, i1, i2 = i0, i1, i2
elif verts_side[i1]==-1:
i0, i1, i2 = i1, i0, i2
elif verts_side[i2]==-1:
i0, i1, i2 = i2, i0, i1
else:
import ipdb; ipdb.set_trace()
# yz axis intersects i0->i1 & i0->i2
assert(verts_side[i0] != verts_side[i1])
assert(verts_side[i0] != verts_side[i2])
v0 = verts[i0]
v1 = verts[i1]
v2 = verts[i2]
v_n1 = (v0 * v1[0] - v1 * v0[0])/(v1[0] - v0[0])
v_n2 = (v0 * v2[0] - v2 * v0[0])/(v2[0] - v0[0])
i_n1 = verts.shape[0] + len(new_verts)
i_n2 = verts.shape[0] + len(new_verts) + 1
new_verts.append(v_n1)
new_verts.append(v_n2)
new_faces.append((i0, i_n1, i_n2))
new_faces.append((i1, i_n1, i_n2))
new_faces.append((i1, i2, i_n2))
new_verts = torch.stack(new_verts, dim=0)
new_faces = torch.tensor(new_faces, dtype=faces.dtype, device=faces.device)
verts = torch.cat([verts, new_verts], dim=0)
faces = torch.index_select(faces, 0, (~face_intesects_yz).nonzero().squeeze(1))
faces = torch.cat([faces, new_faces], dim=0)
# import pymesh
pmesh = pymesh.form_mesh(verts.numpy(), faces.numpy())
pymesh.save_mesh(f'csm_mesh/debug/2.obj', pmesh)
# Merge vertices that are very close together
vertex_mapping = []
verts_new = []
for v_id in range(verts.shape[0]):
if v_id==0:
vertex_mapping.append(0)
verts_new.append(verts[0])
continue
min_d, min_idx = (verts[0:v_id] - verts[v_id]).norm(dim=-1).min(dim=0)
if min_d < eps:
vertex_mapping.append(vertex_mapping[min_idx])
else:
vertex_mapping.append(len(verts_new))
verts_new.append(verts[v_id])
assert(len(vertex_mapping)==verts.shape[0])
vertex_mapping = torch.tensor(vertex_mapping, dtype=faces.dtype, device=faces.device)
verts = torch.stack(verts_new, dim=0)
faces = vertex_mapping[faces]
# Remove degenerate faces
faces_degenerate = (faces[:,0]==faces[:,1]) | (faces[:,0]==faces[:,2]) | (faces[:,2]==faces[:,1])
faces = torch.index_select(faces, 0, (~faces_degenerate).nonzero().squeeze(1))
# import pymesh
pmesh = pymesh.form_mesh(verts.numpy(), faces.numpy())
pymesh.save_mesh(f'csm_mesh/debug/3.obj', pmesh)
# Delete faces that lie on right side (verts_side==1)
verts_centre_mask = (verts[:,0].abs() < eps)
verts[verts_centre_mask, 0] = 0
verts_side = torch.sign(verts[:,0])
face_verts_side = torch.index_select(verts_side, 0, faces.view(-1))
face_verts_side = face_verts_side.contiguous().view(faces.shape[0], 3)
face_right_mask = (face_verts_side[:,0]==1) | (face_verts_side[:,1]==1) | (face_verts_side[:,2]==1)
faces = torch.index_select(faces, 0, (~face_right_mask).nonzero().squeeze(1))
# import pymesh
pmesh = pymesh.form_mesh(verts.numpy(), faces.numpy())
pymesh.save_mesh(f'csm_mesh/debug/4.obj', pmesh)
# Flip mesh, merge
faces_flip = faces + verts.shape[0]
faces = torch.cat([faces, faces_flip], dim=0)
verts_flip = verts * torch.tensor([-1,1,1], dtype=verts.dtype, device=verts.device)
vertex_mapping_flip = torch.arange(verts.shape[0], dtype=faces.dtype, device=faces.device)
vertex_mapping_flip[~verts_centre_mask] += verts.shape[0]
vertex_mapping = torch.arange(verts.shape[0], dtype=faces.dtype, device=faces.device)
vertex_mapping = torch.cat([vertex_mapping, vertex_mapping_flip], dim=0)
verts = torch.cat([verts, verts_flip], dim=0)
faces = vertex_mapping[faces]
# import pymesh
pmesh = pymesh.form_mesh(verts.numpy(), faces.numpy())
pymesh.save_mesh(f'csm_mesh/debug/5.obj', pmesh)
pymesh.save_mesh(f'csm_mesh/debug/5.8.obj', pmesh)
numv = pmesh.num_vertices
while True:
pmesh, __ = pymesh.collapse_short_edges(pmesh, rel_threshold=0.4)
verts = torch.as_tensor(pmesh.vertices, dtype=verts.dtype, device=verts.device)
faces = torch.as_tensor(pmesh.faces, dtype=faces.dtype, device=faces.device)
verts_centre_mask = (verts[:,0].abs() < 1e-3)
verts[verts_centre_mask, 0] = 0
pmesh = pymesh.form_mesh(verts.numpy(), faces.numpy())
pmesh, __ = pymesh.remove_isolated_vertices(pmesh)
pmesh, __ = pymesh.remove_duplicated_vertices(pmesh, tol=eps)
pmesh, __ = pymesh.remove_duplicated_faces(pmesh)
pmesh, __ = pymesh.remove_degenerated_triangles(pmesh)
pmesh, __ = pymesh.remove_isolated_vertices(pmesh)
# pmesh, __ = pymesh.remove_obtuse_triangles(pmesh, 120.0, 100)
pmesh, __ = pymesh.collapse_short_edges(pmesh, 1e-2)
pmesh, __ = pymesh.remove_duplicated_vertices(pmesh, tol=eps)
if pmesh.num_vertices==numv:
break
numv = pmesh.num_vertices
pymesh.save_mesh(f'csm_mesh/debug/5.9.obj', pmesh)
verts = torch.as_tensor(pmesh.vertices, dtype=verts.dtype, device=verts.device)
faces = torch.as_tensor(pmesh.faces, dtype=faces.dtype, device=faces.device)
# Remove unused vertices
vertices_used = torch.unique(faces.view(-1))
vertex_mapping = torch.zeros((verts.shape[0], ), dtype=faces.dtype, device=faces.device)
vertex_mapping[vertices_used] = torch.arange(vertices_used.shape[0], dtype=faces.dtype, device=faces.device)
faces = vertex_mapping[faces]
verts = verts[vertices_used]
# import pymesh
pmesh = pymesh.form_mesh(verts.numpy(), faces.numpy())
pymesh.save_mesh(f'csm_mesh/debug/6.obj', pmesh)
return verts, faces
def mesh(self):
path = self.path()
triangles = []
prev = path[0]
prev_u = None
prev_v = None
first = True
r_step = (self.radius_end - self.radius_start) / len(path)
r = self.radius_start
shift = 0.0
for point in path[1:]:
prev_r = r
r += r_step
# construct an orthonormal basis(u,v) for the plane normal to
# the vector point - prev
norm = point - prev
absnorm = numpy.abs(norm)
mindim = numpy.where(absnorm == numpy.min(absnorm))
if mindim == 0:
u = numpy.array([0, -norm[2], norm[1]])
v = numpy.array([
norm[1] * norm[1] + norm[2] * norm[2], -norm[0] * norm[1],
-norm[0] * norm[2]
])
elif mindim == 1:
u = numpy.array([-norm[2], 0, norm[1]])
v = numpy.array([
-norm[1] * norm[0], norm[0] * norm[0] + norm[2] * norm[2],
-norm[1] * norm[2]
])
else:
u = numpy.array([-norm[1], norm[0], 0])
v = numpy.array([
-norm[2] * norm[0], -norm[2] * norm[1],
norm[0] * norm[0] + norm[1] * norm[1]
])
pass
u = u * (r / numpy.linalg.norm(u))
v = v * (r / numpy.linalg.norm(v))
# make the base of the tube, a disc in the plane defined by
# u,v at point prev
if first:
first = False
prev_u = u
prev_v = v
for i in range(self.fn):
triangles.append(
numpy.array([
prev + prev_u * cos(
(2 * pi * i) / self.fn) + prev_v * sin(
(2 * pi * i) / self.fn), prev,
prev + prev_u * cos(
(2 * pi * (i + 1)) / self.fn) + prev_v * sin(
(2 * pi * (i + 1)) / self.fn)
]))
pass
pass
for i in range(self.fn):
# upward pointing triangle from prev to point
triangles.append(
numpy.array([
prev + prev_u * cos(
(2 * pi * (i + shift)) / self.fn) + prev_v * sin(
(2 * pi * (i + shift)) / self.fn),
prev + prev_u * cos(
(2 * pi *
(i + shift + 1)) / self.fn) + prev_v * sin(
(2 * pi * (i + shift + 1)) / self.fn),
point + u * cos(
(2 * pi * (i + shift + 0.5)) / self.fn) + v * sin(
(2 * pi * (i + shift + 0.5)) / self.fn)
]))
# downward pointing triangles from point to prev
triangles.append(
numpy.array([
prev + prev_u * cos(
(2 * pi * (i + shift)) / self.fn) + prev_v * sin(
(2 * pi * (i + shift)) / self.fn),
point + u * cos(
(2 * pi * (i + shift + 0.5)) / self.fn) + v * sin(
(2 * pi * (i + shift + 0.5)) / self.fn),
point + u * cos(
(2 * pi * (i + shift - 0.5)) / self.fn) + v * sin(
(2 * pi * (i + shift - 0.5)) / self.fn)
]))
pass
prev = point
prev_u = u
prev_v = v
shift = (shift + 0.5) % 1
pass
# Make the top of the tube, a disc in the plane defined by
# prev_u,prev_v at point prev
for i in range(self.fn):
triangles.append(
numpy.array([
prev + prev_u * cos(
(2 * pi * (i - 0.5)) / self.fn) + prev_v * sin(
(2 * pi * (i - 0.5)) / self.fn),
prev + prev_u * cos(
(2 * pi * (i + 0.5)) / self.fn) + prev_v * sin(
(2 * pi * (i + 0.5)) / self.fn), prev
]))
pass
vertices = numpy.zeros((len(triangles) * 3, 3))
faces = numpy.zeros((len(triangles), 3))
for i in range(len(triangles)):
vertices[3 * i] = triangles[i][0]
vertices[3 * i + 1] = triangles[i][1]
vertices[3 * i + 2] = triangles[i][2]
faces[i] = numpy.array([3 * i, 3 * i + 1, 3 * i + 2])
m = pymesh.form_mesh(vertices, faces)
return pymesh.remove_duplicated_vertices(m)[0]
for phrase in ['train', 'test']:
type_path = os.path.join(root, type)
phrase_path = os.path.join(type_path, phrase)
if not os.path.exists(type_path):
os.mkdir(os.path.join(new_root, type))
if not os.path.exists(phrase_path):
os.mkdir(phrase)
files = glob.glob(os.path.join(phrase_path, '*.off'))
for file in files:
# load mesh
mesh = pymesh.load_mesh(file)
# clean up
mesh, _ = pymesh.remove_isolated_vertices(mesh)
mesh, _ = pymesh.remove_duplicated_vertices(mesh)
# get elements
vertices = mesh.vertices.copy()
faces = mesh.faces.copy()
# move to center
center = (np.max(vertices, 0) + np.min(vertices, 0)) / 2
vertices -= center
# normalize
max_len = np.max(vertices[:, 0]**2 + vertices[:, 1]**2 +
vertices[:, 2]**2)
vertices /= np.sqrt(max_len)
# get normal vector
def preprocess_mesh(input_mesh, prevent_nonmanifold_edges=True):
r"""Removes duplicated vertices, duplicated faces, zero-area faces, and
optionally faces the insertion of which would cause an edge of the mesh to
become non-manifold. In particular, an iteration is performed over all faces
in the mesh, keeping track of the half-edges in each face, and if a face
contains a half-edge already found in one of the faces previously processed,
it gets removed from the mesh.
Args:
input_mesh (pymesh.Mesh.Mesh): Mesh to preprocess.
prevent_nonmanifold_edges (bool, optional): If True, faces that would
cause an edge to become non-manifold are removed from the mesh (cf.
above). (default: :obj:`True`)
Returns:
output_mesh (pymesh.Mesh.Mesh): Mesh after preprocessing.
"""
halfedges_found = set()
new_faces = np.empty([input_mesh.num_faces, 3])
# Remove duplicated vertices.
input_mesh = pymesh.remove_duplicated_vertices(input_mesh)[0]
# Remove duplicated faces.
input_mesh = pymesh.remove_duplicated_faces(input_mesh)[0]
num_valid_faces = 0
# Compute face areas so that zero-are faces can be removed.
input_mesh.add_attribute("face_area")
face_areas = input_mesh.get_face_attribute("face_area")
assert (len(face_areas) == len(input_mesh.faces))
for face, face_area in zip(input_mesh.faces, face_areas):
# Do not include the face if it does not have three different
# vertices.
if (face[0] == face[1] or face[0] == face[2] or face[1] == face[2]):
continue
# Do not include zero-area faces.
if (face_area == 0):
continue
# Optionally prevent non-manifold edges.
if (prevent_nonmanifold_edges):
new_halfedges_in_face = set()
for idx in range(3):
halfedge = (face[idx], face[(idx + 1) % 3])
if (halfedge[0] != halfedge[1]): # Exclude self-loops.
if (halfedge not in halfedges_found):
# Half-edge not found previously. -> The edge is
# manifold so far.
new_halfedges_in_face.add(halfedge)
if (len(new_halfedges_in_face) == 3):
# Face does not introduce non-manifold edges.
halfedges_found.update(new_halfedges_in_face)
new_faces[num_valid_faces] = face
num_valid_faces += 1
# Here one can compute the face features already.
else:
new_faces[num_valid_faces] = face
num_valid_faces += 1
new_faces = new_faces[:num_valid_faces]
output_mesh = pymesh.form_mesh(input_mesh.vertices, new_faces)
# Not including faces might have caused vertices to become isolated.
output_mesh = pymesh.remove_isolated_vertices(output_mesh)[0]
return output_mesh
