pyFM.mesh.laplacian.dia_area_mat¶
- pyFM.mesh.laplacian.dia_area_mat(vertices, faces, faces_areas=None)¶
Compute the diagonal matrix of lumped vertex areas for the mesh Laplacian.
Entry i on the diagonal is the area of vertex i, approximated as one third of the sum of the areas of its adjacent triangles.
- Parameters:
vertices ((n, 3) np.ndarray) – Coordinates of the mesh vertices.
faces ((m, 3) np.ndarray) – Vertex indices defining the faces.
faces_areas ((m,) np.ndarray, optional) – Per-face areas. Computed from the mesh if not provided.
- Returns:
A – Sparse diagonal matrix of vertex areas in dia format.
- Return type:
(n, n) scipy.sparse.dia_matrix