pyFM.spectral.projection_utils.project_to_mesh

pyFM.spectral.projection_utils.project_to_mesh(vert_emb, faces, points_emb, vertind, lmax, Deltamin, dmin=None, dmin_params=None)

Project a single point of a pointcloud on a p-dimensional triangle mesh.

Parameters:

• vert_emb ((n1, p) np.ndarray) – Coordinates of the mesh vertices.

• faces ((m1, 3) np.ndarray) – Faces of the mesh defined as indices of vertices.

• points_emb ((n2, p) np.ndarray) – Coordinates of the pointcloud.

• vertind (int) – Index of the vertex to project.

• lmax ((m1,) np.ndarray) – Value of lmax (max edge length for each face).

• Deltamin ((n2,) np.ndarray) – Value of Deltamin (distance to nearest vertex).

• dmin ((m1, n2) np.ndarray, optional) – Values of dmin (distance to the nearest vertex of each face for each vertex). Can be computed on the fly.

• dmin_params (dict, optional) – If dmin is None, stores ‘vert_sqnorms’ a (n1,) array of squared norms of vertex embeddings, and ‘points_sqnorm’ a (n2,) array of squared norms of point embeddings. Helps speed up computation of dmin.

Returns:

• min_faceind (int) – Index of the face on which the vertex is projected.

• min_bary ((3,) np.ndarray) – Barycentric coordinates on the chosen face.