_id
stringlengths
2
7
title
stringlengths
1
88
partition
stringclasses
3 values
text
stringlengths
75
19.8k
language
stringclasses
1 value
meta_information
dict
q23100
Trimesh.vertex_neighbors
train
def vertex_neighbors(self): """ The vertex neighbors of each vertex of the mesh, determined from the cached vertex_adjacency_graph, if already existent. Returns ---------- vertex_neighbors : (len(self.vertices),) int Represents immediate neighbors of each verte...
python
{ "resource": "" }
q23101
Trimesh.is_winding_consistent
train
def is_winding_consistent(self): """ Does the mesh have consistent winding or not. A mesh with consistent winding has each shared edge going in an opposite direction from the other in the pair. Returns -------- consistent : bool Is winding is consistent...
python
{ "resource": "" }
q23102
Trimesh.is_watertight
train
def is_watertight(self): """ Check if a mesh is watertight by making sure every edge is included in two faces. Returns ---------- is_watertight : bool Is mesh watertight or not """ if self.is_empty: return False watertight, w...
python
{ "resource": "" }
q23103
Trimesh.is_volume
train
def is_volume(self): """ Check if a mesh has all the properties required to represent a valid volume, rather than just a surface. These properties include being watertight, having consistent winding and outward facing normals. Returns --------- valid : b...
python
{ "resource": "" }
q23104
Trimesh.is_convex
train
def is_convex(self): """ Check if a mesh is convex or not. Returns ---------- is_convex: bool Is mesh convex or not """ if self.is_empty: return False is_convex = bool(convex.is_convex(self)) return is_convex
python
{ "resource": "" }
q23105
Trimesh.kdtree
train
def kdtree(self): """ Return a scipy.spatial.cKDTree of the vertices of the mesh. Not cached as this lead to observed memory issues and segfaults. Returns --------- tree : scipy.spatial.cKDTree Contains mesh.vertices """ from scipy.spatial impo...
python
{ "resource": "" }
q23106
Trimesh.facets_area
train
def facets_area(self): """ Return an array containing the area of each facet. Returns --------- area : (len(self.facets),) float Total area of each facet (group of faces) """ # avoid thrashing the cache inside a loop area_faces = self.area_faces...
python
{ "resource": "" }
q23107
Trimesh.facets_normal
train
def facets_normal(self): """ Return the normal of each facet Returns --------- normals: (len(self.facets), 3) float A unit normal vector for each facet """ if len(self.facets) == 0: return np.array([]) area_faces = self.area_faces ...
python
{ "resource": "" }
q23108
Trimesh.facets_boundary
train
def facets_boundary(self): """ Return the edges which represent the boundary of each facet Returns --------- edges_boundary : sequence of (n, 2) int Indices of self.vertices """ # make each row correspond to a single face edges = self.edges_sort...
python
{ "resource": "" }
q23109
Trimesh.facets_on_hull
train
def facets_on_hull(self): """ Find which facets of the mesh are on the convex hull. Returns --------- on_hull : (len(mesh.facets),) bool is A facet on the meshes convex hull or not """ # facets plane, origin and normal normals = self.facets_norm...
python
{ "resource": "" }
q23110
Trimesh.fix_normals
train
def fix_normals(self, multibody=None): """ Find and fix problems with self.face_normals and self.faces winding direction. For face normals ensure that vectors are consistently pointed outwards, and that self.faces is wound in the correct direction for all connected compo...
python
{ "resource": "" }
q23111
Trimesh.subdivide
train
def subdivide(self, face_index=None): """ Subdivide a mesh, with each subdivided face replaced with four smaller faces. Parameters ---------- face_index: (m,) int or None If None all faces of mesh will be subdivided If (m,) int array of indices: only ...
python
{ "resource": "" }
q23112
Trimesh.smoothed
train
def smoothed(self, angle=.4): """ Return a version of the current mesh which will render nicely, without changing source mesh. Parameters ------------- angle : float Angle in radians, face pairs with angles smaller than this value will appear smoothed...
python
{ "resource": "" }
q23113
Trimesh.section
train
def section(self, plane_normal, plane_origin): """ Returns a 3D cross section of the current mesh and a plane defined by origin and normal. Parameters --------- plane_normal: (3) vector for plane normal Normal vector of section p...
python
{ "resource": "" }
q23114
Trimesh.section_multiplane
train
def section_multiplane(self, plane_origin, plane_normal, heights): """ Return multiple parallel cross sections of the current mesh in 2D. Parameters --------- plane_normal: (3) vector for pl...
python
{ "resource": "" }
q23115
Trimesh.slice_plane
train
def slice_plane(self, plane_origin, plane_normal, **kwargs): """ Returns another mesh that is the current mesh sliced by the plane defined by origin and normal. Parameters --------- plane_normal: (3) vector for ...
python
{ "resource": "" }
q23116
Trimesh.sample
train
def sample(self, count, return_index=False): """ Return random samples distributed normally across the surface of the mesh Parameters --------- count : int Number of points to sample return_index : bool If True will also return the index of wh...
python
{ "resource": "" }
q23117
Trimesh.remove_unreferenced_vertices
train
def remove_unreferenced_vertices(self): """ Remove all vertices in the current mesh which are not referenced by a face. """ referenced = np.zeros(len(self.vertices), dtype=np.bool) referenced[self.faces] = True inverse = np.zeros(len(self.vertices), dtype=np.int6...
python
{ "resource": "" }
q23118
Trimesh.unmerge_vertices
train
def unmerge_vertices(self): """ Removes all face references so that every face contains three unique vertex indices and no faces are adjacent. """ # new faces are incrementing so every vertex is unique faces = np.arange(len(self.faces) * 3, dtype...
python
{ "resource": "" }
q23119
Trimesh.apply_obb
train
def apply_obb(self): """ Apply the oriented bounding box transform to the current mesh. This will result in a mesh with an AABB centered at the origin and the same dimensions as the OBB. Returns ---------- matrix : (4, 4) float Transformation matrix th...
python
{ "resource": "" }
q23120
Trimesh.apply_transform
train
def apply_transform(self, matrix): """ Transform mesh by a homogenous transformation matrix. Does the bookkeeping to avoid recomputing things so this function should be used rather than directly modifying self.vertices if possible. Parameters ---------- ...
python
{ "resource": "" }
q23121
Trimesh.voxelized
train
def voxelized(self, pitch, **kwargs): """ Return a Voxel object representing the current mesh discretized into voxels at the specified pitch Parameters ---------- pitch : float The edge length of a single voxel Returns ---------- voxeli...
python
{ "resource": "" }
q23122
Trimesh.outline
train
def outline(self, face_ids=None, **kwargs): """ Given a list of face indexes find the outline of those faces and return it as a Path3D. The outline is defined here as every edge which is only included by a single triangle. Note that this implies a non-watertight mesh as...
python
{ "resource": "" }
q23123
Trimesh.area_faces
train
def area_faces(self): """ The area of each face in the mesh. Returns --------- area_faces : (n,) float Area of each face """ area_faces = triangles.area(crosses=self.triangles_cross, sum=False) return area_fac...
python
{ "resource": "" }
q23124
Trimesh.mass_properties
train
def mass_properties(self): """ Returns the mass properties of the current mesh. Assumes uniform density, and result is probably garbage if mesh isn't watertight. Returns ---------- properties : dict With keys: 'volume' : in global units^...
python
{ "resource": "" }
q23125
Trimesh.invert
train
def invert(self): """ Invert the mesh in- place by reversing the winding of every face and negating normals without dumping the cache. Alters --------- self.faces : columns reversed self.face_normals : negated if defined self.vertex_normals : n...
python
{ "resource": "" }
q23126
Trimesh.submesh
train
def submesh(self, faces_sequence, **kwargs): """ Return a subset of the mesh. Parameters ---------- faces_sequence : sequence (m,) int Face indices of mesh only_watertight : bool Only return submeshes which are watertight append : bool ...
python
{ "resource": "" }
q23127
Trimesh.export
train
def export(self, file_obj=None, file_type=None, **kwargs): """ Export the current mesh to a file object. If file_obj is a filename, file will be written there. Supported formats are stl, off, ply, collada, json, dict, glb, dict64, msgpack. Parameters --------- ...
python
{ "resource": "" }
q23128
Trimesh.intersection
train
def intersection(self, other, engine=None): """ Boolean intersection between this mesh and n other meshes Parameters --------- other : trimesh.Trimesh, or list of trimesh.Trimesh objects Meshes to calculate intersections with Returns --------- ...
python
{ "resource": "" }
q23129
Trimesh.contains
train
def contains(self, points): """ Given a set of points, determine whether or not they are inside the mesh. This raises an error if called on a non- watertight mesh. Parameters --------- points : (n, 3) float Points in cartesian space Returns ---...
python
{ "resource": "" }
q23130
Trimesh.face_adjacency_tree
train
def face_adjacency_tree(self): """ An R-tree of face adjacencies. Returns -------- tree: rtree.index Where each edge in self.face_adjacency has a rectangular cell """ # the (n,6) interleaved bounding box for every line segment segment_...
python
{ "resource": "" }
q23131
Trimesh.copy
train
def copy(self): """ Safely get a copy of the current mesh. Copied objects will have emptied caches to avoid memory issues and so may be slow on initial operations until caches are regenerated. Current object will *not* have its cache cleared. Returns --...
python
{ "resource": "" }
q23132
Trimesh.eval_cached
train
def eval_cached(self, statement, *args): """ Evaluate a statement and cache the result before returning. Statements are evaluated inside the Trimesh object, and Parameters ----------- statement : str Statement of valid python code *args : list ...
python
{ "resource": "" }
q23133
fix_winding
train
def fix_winding(mesh): """ Traverse and change mesh faces in-place to make sure winding is correct, with edges on adjacent faces in opposite directions. Parameters ------------- mesh: Trimesh object Alters ------------- mesh.face: will reverse columns of certain faces """ ...
python
{ "resource": "" }
q23134
fix_inversion
train
def fix_inversion(mesh, multibody=False): """ Check to see if a mesh has normals pointing "out." Parameters ------------- mesh: Trimesh object multibody: bool, if True will try to fix normals on every body Alters ------------- mesh.face: may reverse faces """ if multib...
python
{ "resource": "" }
q23135
fix_normals
train
def fix_normals(mesh, multibody=False): """ Fix the winding and direction of a mesh face and face normals in-place. Really only meaningful on watertight meshes, but will orient all faces and winding in a uniform way for non-watertight face patches as well. Parameters ------------- ...
python
{ "resource": "" }
q23136
broken_faces
train
def broken_faces(mesh, color=None): """ Return the index of faces in the mesh which break the watertight status of the mesh. Parameters -------------- mesh: Trimesh object color: (4,) uint8, will set broken faces to this color None, will not alter mesh colors Returns ...
python
{ "resource": "" }
q23137
mesh_multiplane
train
def mesh_multiplane(mesh, plane_origin, plane_normal, heights): """ A utility function for slicing a mesh by multiple parallel planes, which caches the dot product operation. Parameters ------------- mesh : trimesh.Trimesh Geom...
python
{ "resource": "" }
q23138
plane_lines
train
def plane_lines(plane_origin, plane_normal, endpoints, line_segments=True): """ Calculate plane-line intersections Parameters --------- plane_origin : (3,) float Point on plane plane_normal : (3,) float Plane normal vector endp...
python
{ "resource": "" }
q23139
planes_lines
train
def planes_lines(plane_origins, plane_normals, line_origins, line_directions): """ Given one line per plane, find the intersection points. Parameters ----------- plane_origins : (n,3) float Point on each plane plane_normals : (n,3) floa...
python
{ "resource": "" }
q23140
slice_mesh_plane
train
def slice_mesh_plane(mesh, plane_normal, plane_origin, **kwargs): """ Slice a mesh with a plane, returning a new mesh that is the portion of the original mesh to the positive normal side of the plane Parameters --------- mesh : Trim...
python
{ "resource": "" }
q23141
create_scene
train
def create_scene(): """ Create a scene with a Fuze bottle, some cubes, and an axis. Returns ---------- scene : trimesh.Scene Object with geometry """ scene = trimesh.Scene() # plane geom = trimesh.creation.box((0.5, 0.5, 0.01)) geom.apply_translation((0, 0, -0.005)) g...
python
{ "resource": "" }
q23142
face_angles_sparse
train
def face_angles_sparse(mesh): """ A sparse matrix representation of the face angles. Returns ---------- sparse: scipy.sparse.coo_matrix with: dtype: float shape: (len(mesh.vertices), len(mesh.faces)) """ matrix = coo_matrix((mesh.face_angles.flatten(), ...
python
{ "resource": "" }
q23143
discrete_gaussian_curvature_measure
train
def discrete_gaussian_curvature_measure(mesh, points, radius): """ Return the discrete gaussian curvature measure of a sphere centered at a point as detailed in 'Restricted Delaunay triangulations and normal cycle', Cohen-Steiner and Morvan. Parameters ---------- points : (n,3) float, list ...
python
{ "resource": "" }
q23144
discrete_mean_curvature_measure
train
def discrete_mean_curvature_measure(mesh, points, radius): """ Return the discrete mean curvature measure of a sphere centered at a point as detailed in 'Restricted Delaunay triangulations and normal cycle', Cohen-Steiner and Morvan. Parameters ---------- points : (n,3) float, list of point...
python
{ "resource": "" }
q23145
line_ball_intersection
train
def line_ball_intersection(start_points, end_points, center, radius): """ Compute the length of the intersection of a line segment with a ball. Parameters ---------- start_points : (n,3) float, list of points in space end_points : (n,3) float, list of points in space center : (3,) f...
python
{ "resource": "" }
q23146
uv_to_color
train
def uv_to_color(uv, image): """ Get the color in a texture image. Parameters ------------- uv : (n, 2) float UV coordinates on texture image image : PIL.Image Texture image Returns ---------- colors : (n, 4) float RGBA color at each of the UV coordinates """ ...
python
{ "resource": "" }
q23147
TextureVisuals.uv
train
def uv(self, values): """ Set the UV coordinates. Parameters -------------- values : (n, 2) float Pixel locations on a texture per- vertex """ if values is None: self._data.clear() else: self._data['uv'] = np.asanyarray(v...
python
{ "resource": "" }
q23148
TextureVisuals.copy
train
def copy(self): """ Return a copy of the current TextureVisuals object. Returns ---------- copied : TextureVisuals Contains the same information in a new object """ uv = self.uv if uv is not None: uv = uv.copy() copied = Text...
python
{ "resource": "" }
q23149
TextureVisuals.to_color
train
def to_color(self): """ Convert textured visuals to a ColorVisuals with vertex color calculated from texture. Returns ----------- vis : trimesh.visuals.ColorVisuals Contains vertex color from texture """ # find the color at each UV coordinate ...
python
{ "resource": "" }
q23150
TextureVisuals.update_vertices
train
def update_vertices(self, mask): """ Apply a mask to remove or duplicate vertex properties. """ if self.uv is not None: self.uv = self.uv[mask]
python
{ "resource": "" }
q23151
load_stl
train
def load_stl(file_obj, file_type=None, **kwargs): """ Load an STL file from a file object. Parameters ---------- file_obj: open file- like object file_type: not used Returns ---------- loaded: kwargs for a Trimesh constructor with keys: vertices: (n,3) float, vert...
python
{ "resource": "" }
q23152
load_stl_binary
train
def load_stl_binary(file_obj): """ Load a binary STL file from a file object. Parameters ---------- file_obj: open file- like object Returns ---------- loaded: kwargs for a Trimesh constructor with keys: vertices: (n,3) float, vertices faces: (m,3...
python
{ "resource": "" }
q23153
load_stl_ascii
train
def load_stl_ascii(file_obj): """ Load an ASCII STL file from a file object. Parameters ---------- file_obj: open file- like object Returns ---------- loaded: kwargs for a Trimesh constructor with keys: vertices: (n,3) float, vertices faces: (m,3)...
python
{ "resource": "" }
q23154
export_stl
train
def export_stl(mesh): """ Convert a Trimesh object into a binary STL file. Parameters --------- mesh: Trimesh object Returns --------- export: bytes, representing mesh in binary STL form """ header = np.zeros(1, dtype=_stl_dtype_header) header['face_count'] = len(mesh.faces...
python
{ "resource": "" }
q23155
export_stl_ascii
train
def export_stl_ascii(mesh): """ Convert a Trimesh object into an ASCII STL file. Parameters --------- mesh : trimesh.Trimesh Returns --------- export : str Mesh represented as an ASCII STL file """ # move all the data that's going into the STL file into one array b...
python
{ "resource": "" }
q23156
vertex_graph
train
def vertex_graph(entities): """ Given a set of entity objects generate a networkx.Graph that represents their vertex nodes. Parameters -------------- entities : list Objects with 'closed' and 'nodes' attributes Returns ------------- graph : networkx.Graph Graph where...
python
{ "resource": "" }
q23157
vertex_to_entity_path
train
def vertex_to_entity_path(vertex_path, graph, entities, vertices=None): """ Convert a path of vertex indices to a path of entity indices. Parameters ---------- vertex_path : (n,) int Ordered list of vertex indices...
python
{ "resource": "" }
q23158
closed_paths
train
def closed_paths(entities, vertices): """ Paths are lists of entity indices. We first generate vertex paths using graph cycle algorithms, and then convert them to entity paths. This will also change the ordering of entity.points in place so a path may be traversed without having to reverse the ...
python
{ "resource": "" }
q23159
discretize_path
train
def discretize_path(entities, vertices, path, scale=1.0): """ Turn a list of entity indices into a path of connected points. Parameters ----------- entities : (j,) entity objects Objects like 'Line', 'Arc', etc. vertices: (n, dimension) float Vertex points in space. path : (m...
python
{ "resource": "" }
q23160
split
train
def split(self): """ Split a Path2D into multiple Path2D objects where each one has exactly one root curve. Parameters -------------- self : trimesh.path.Path2D Input geometry Returns ------------- split : list of trimesh.path.Path2D Original geometry as separate paths ...
python
{ "resource": "" }
q23161
ray_triangle_id
train
def ray_triangle_id(triangles, ray_origins, ray_directions, triangles_normal=None, tree=None, multiple_hits=True): """ Find the intersections between a group of triangles and rays Parameters ------------...
python
{ "resource": "" }
q23162
ray_triangle_candidates
train
def ray_triangle_candidates(ray_origins, ray_directions, tree): """ Do broad- phase search for triangles that the rays may intersect. Does this by creating a bounding box for the ray as it passes through the volume occupied by the tree Pa...
python
{ "resource": "" }
q23163
ray_bounds
train
def ray_bounds(ray_origins, ray_directions, bounds, buffer_dist=1e-5): """ Given a set of rays and a bounding box for the volume of interest where the rays will be passing through, find the bounding boxes of the rays as they pass through the volume. Para...
python
{ "resource": "" }
q23164
RayMeshIntersector.intersects_id
train
def intersects_id(self, ray_origins, ray_directions, return_locations=False, multiple_hits=True, **kwargs): """ Find the intersections between the current mesh and a list of rays. Param...
python
{ "resource": "" }
q23165
RayMeshIntersector.intersects_any
train
def intersects_any(self, ray_origins, ray_directions, **kwargs): """ Find out if each ray hit any triangle on the mesh. Parameters ------------ ray_origins: (m,3) float, ray origin points ray_direc...
python
{ "resource": "" }
q23166
dict_to_path
train
def dict_to_path(as_dict): """ Turn a pure dict into a dict containing entity objects that can be sent directly to a Path constructor. Parameters ----------- as_dict : dict Has keys: 'vertices', 'entities' Returns ------------ kwargs : dict Has keys: 'vertices', 'entiti...
python
{ "resource": "" }
q23167
lines_to_path
train
def lines_to_path(lines): """ Turn line segments into a Path2D or Path3D object. Parameters ------------ lines : (n, 2, dimension) or (n, dimension) float Line segments or connected polyline curve in 2D or 3D Returns ----------- kwargs : dict kwargs for Path constructor ...
python
{ "resource": "" }
q23168
polygon_to_path
train
def polygon_to_path(polygon): """ Load shapely Polygon objects into a trimesh.path.Path2D object Parameters ------------- polygon : shapely.geometry.Polygon Input geometry Returns ------------- kwargs : dict Keyword arguments for Path2D constructor """ # start with ...
python
{ "resource": "" }
q23169
linestrings_to_path
train
def linestrings_to_path(multi): """ Load shapely LineString objects into a trimesh.path.Path2D object Parameters ------------- multi : shapely.geometry.LineString or MultiLineString Input 2D geometry Returns ------------- kwargs : dict Keyword arguments for Path2D construct...
python
{ "resource": "" }
q23170
faces_to_path
train
def faces_to_path(mesh, face_ids=None, **kwargs): """ Given a mesh and face indices find the outline edges and turn them into a Path3D. Parameters --------- mesh : trimesh.Trimesh Triangulated surface in 3D face_ids : (n,) int Indexes referencing mesh.faces Returns ----...
python
{ "resource": "" }
q23171
edges_to_path
train
def edges_to_path(edges, vertices, **kwargs): """ Given an edge list of indices and associated vertices representing lines, generate kwargs for a Path object. Parameters ----------- edges : (n, 2) int Vertex indices of line segments vertices : (m, d...
python
{ "resource": "" }
q23172
point_plane_distance
train
def point_plane_distance(points, plane_normal, plane_origin=[0.0, 0.0, 0.0]): """ The minimum perpendicular distance of a point to a plane. Parameters ----------- points: (n, 3) float, points in space plane_normal: (3,) float, normal vecto...
python
{ "resource": "" }
q23173
major_axis
train
def major_axis(points): """ Returns an approximate vector representing the major axis of points Parameters ------------- points: (n, dimension) float, points in space Returns ------------- axis: (dimension,) float, vector along approximate major axis """ U, S, V = np.linalg.svd...
python
{ "resource": "" }
q23174
plane_fit
train
def plane_fit(points): """ Given a set of points, find an origin and normal using SVD. Parameters --------- points : (n,3) float Points in 3D space Returns --------- C : (3,) float Point on the plane N : (3,) float Normal vector of plane """ # make s...
python
{ "resource": "" }
q23175
tsp
train
def tsp(points, start=0): """ Find an ordering of points where each is visited and the next point is the closest in euclidean distance, and if there are multiple points with equal distance go to an arbitrary one. Assumes every point is visitable from every other point, i.e. the travelling s...
python
{ "resource": "" }
q23176
PointCloud.copy
train
def copy(self): """ Safely get a copy of the current point cloud. Copied objects will have emptied caches to avoid memory issues and so may be slow on initial operations until caches are regenerated. Current object will *not* have its cache cleared. Returns ...
python
{ "resource": "" }
q23177
PointCloud.apply_transform
train
def apply_transform(self, transform): """ Apply a homogenous transformation to the PointCloud object in- place. Parameters -------------- transform : (4, 4) float Homogenous transformation to apply to PointCloud """ self.vertices = transformatio...
python
{ "resource": "" }
q23178
PointCloud.bounds
train
def bounds(self): """ The axis aligned bounds of the PointCloud Returns ------------ bounds : (2, 3) float Miniumum, Maximum verteex """ return np.array([self.vertices.min(axis=0), self.vertices.max(axis=0)])
python
{ "resource": "" }
q23179
reflection_matrix
train
def reflection_matrix(point, normal): """Return matrix to mirror at plane defined by point and normal vector. >>> v0 = np.random.random(4) - 0.5 >>> v0[3] = 1. >>> v1 = np.random.random(3) - 0.5 >>> R = reflection_matrix(v0, v1) >>> np.allclose(2, np.trace(R)) True >>> np.allclose(v0, n...
python
{ "resource": "" }
q23180
reflection_from_matrix
train
def reflection_from_matrix(matrix): """Return mirror plane point and normal vector from reflection matrix. >>> v0 = np.random.random(3) - 0.5 >>> v1 = np.random.random(3) - 0.5 >>> M0 = reflection_matrix(v0, v1) >>> point, normal = reflection_from_matrix(M0) >>> M1 = reflection_matrix(point, no...
python
{ "resource": "" }
q23181
clip_matrix
train
def clip_matrix(left, right, bottom, top, near, far, perspective=False): """Return matrix to obtain normalized device coordinates from frustum. The frustum bounds are axis-aligned along x (left, right), y (bottom, top) and z (near, far). Normalized device coordinates are in range [-1, 1] if coordinate...
python
{ "resource": "" }
q23182
shear_matrix
train
def shear_matrix(angle, direction, point, normal): """Return matrix to shear by angle along direction vector on shear plane. The shear plane is defined by a point and normal vector. The direction vector must be orthogonal to the plane's normal vector. A point P is transformed by the shear matrix into ...
python
{ "resource": "" }
q23183
shear_from_matrix
train
def shear_from_matrix(matrix): """Return shear angle, direction and plane from shear matrix. >>> angle = np.pi / 2.0 >>> direct = [0.0, 1.0, 0.0] >>> point = [0.0, 0.0, 0.0] >>> normal = np.cross(direct, np.roll(direct,1)) >>> S0 = shear_matrix(angle, direct, point, normal) >>> angle, dir...
python
{ "resource": "" }
q23184
compose_matrix
train
def compose_matrix(scale=None, shear=None, angles=None, translate=None, perspective=None): """Return transformation matrix from sequence of transformations. This is the inverse of the decompose_matrix function. Sequence of transformations: scale : vector of 3 scaling factors ...
python
{ "resource": "" }
q23185
euler_matrix
train
def euler_matrix(ai, aj, ak, axes='sxyz'): """Return homogeneous rotation matrix from Euler angles and axis sequence. ai, aj, ak : Euler's roll, pitch and yaw angles axes : One of 24 axis sequences as string or encoded tuple >>> R = euler_matrix(1, 2, 3, 'syxz') >>> np.allclose(np.sum(R[0]), -1.34...
python
{ "resource": "" }
q23186
euler_from_matrix
train
def euler_from_matrix(matrix, axes='sxyz'): """Return Euler angles from rotation matrix for specified axis sequence. axes : One of 24 axis sequences as string or encoded tuple Note that many Euler angle triplets can describe one matrix. >>> R0 = euler_matrix(1, 2, 3, 'syxz') >>> al, be, ga = eule...
python
{ "resource": "" }
q23187
quaternion_from_euler
train
def quaternion_from_euler(ai, aj, ak, axes='sxyz'): """Return quaternion from Euler angles and axis sequence. ai, aj, ak : Euler's roll, pitch and yaw angles axes : One of 24 axis sequences as string or encoded tuple >>> q = quaternion_from_euler(1, 2, 3, 'ryxz') >>> np.allclose(q, [0.435953, 0.31...
python
{ "resource": "" }
q23188
arcball_constrain_to_axis
train
def arcball_constrain_to_axis(point, axis): """Return sphere point perpendicular to axis.""" v = np.array(point, dtype=np.float64, copy=True) a = np.array(axis, dtype=np.float64, copy=True) v -= a * np.dot(a, v) # on plane n = vector_norm(v) if n > _EPS: if v[2] < 0.0: np.ne...
python
{ "resource": "" }
q23189
arcball_nearest_axis
train
def arcball_nearest_axis(point, axes): """Return axis, which arc is nearest to point.""" point = np.array(point, dtype=np.float64, copy=False) nearest = None mx = -1.0 for axis in axes: t = np.dot(arcball_constrain_to_axis(point, axis), point) if t > mx: nearest = axis ...
python
{ "resource": "" }
q23190
vector_norm
train
def vector_norm(data, axis=None, out=None): """Return length, i.e. Euclidean norm, of ndarray along axis. >>> v = np.random.random(3) >>> n = vector_norm(v) >>> np.allclose(n, np.linalg.norm(v)) True >>> v = np.random.rand(6, 5, 3) >>> n = vector_norm(v, axis=-1) >>> np.allclose(n, np.s...
python
{ "resource": "" }
q23191
is_same_transform
train
def is_same_transform(matrix0, matrix1): """Return True if two matrices perform same transformation. >>> is_same_transform(np.identity(4), np.identity(4)) True >>> is_same_transform(np.identity(4), random_rotation_matrix()) False """ matrix0 = np.array(matrix0, dtype=np.float64, copy=True)...
python
{ "resource": "" }
q23192
is_same_quaternion
train
def is_same_quaternion(q0, q1): """Return True if two quaternions are equal.""" q0 = np.array(q0) q1 = np.array(q1) return np.allclose(q0, q1) or np.allclose(q0, -q1)
python
{ "resource": "" }
q23193
transform_around
train
def transform_around(matrix, point): """ Given a transformation matrix, apply its rotation around a point in space. Parameters ---------- matrix: (4,4) or (3, 3) float, transformation matrix point: (3,) or (2,) float, point in space Returns --------- result: (4,4) transformat...
python
{ "resource": "" }
q23194
planar_matrix
train
def planar_matrix(offset=None, theta=None, point=None): """ 2D homogeonous transformation matrix Parameters ---------- offset : (2,) float XY offset theta : float Rotation around Z in radians point : (2, ) float point to rotate around ...
python
{ "resource": "" }
q23195
planar_matrix_to_3D
train
def planar_matrix_to_3D(matrix_2D): """ Given a 2D homogenous rotation matrix convert it to a 3D rotation matrix that is rotating around the Z axis Parameters ---------- matrix_2D: (3,3) float, homogenous 2D rotation matrix Returns ---------- matrix_3D: (4,4) float, homogenous 3D r...
python
{ "resource": "" }
q23196
transform_points
train
def transform_points(points, matrix, translate=True): """ Returns points, rotated by transformation matrix If points is (n,2), matrix must be (3,3) if points is (n,3), matrix must be (4,4) Parameters ---------- points : (n, d) float Points wh...
python
{ "resource": "" }
q23197
is_rigid
train
def is_rigid(matrix): """ Check to make sure a homogeonous transformation matrix is a rigid body transform. Parameters ----------- matrix: possibly a transformation matrix Returns ----------- check: bool, True if matrix is a valid (4,4) rigid body transform. """ matrix = n...
python
{ "resource": "" }
q23198
Arcball.setaxes
train
def setaxes(self, *axes): """Set axes to constrain rotations.""" if axes is None: self._axes = None else: self._axes = [unit_vector(axis) for axis in axes]
python
{ "resource": "" }
q23199
Arcball.down
train
def down(self, point): """Set initial cursor window coordinates and pick constrain-axis.""" self._vdown = arcball_map_to_sphere(point, self._center, self._radius) self._qdown = self._qpre = self._qnow if self._constrain and self._axes is not None: self._axis = arcball_nearest...
python
{ "resource": "" }