volume_form_intrinsic#

iskra.geometry.volume.volume_form_intrinsic(edge_lengths: Tensor, face_to_edge: Tensor) → Tensor[SOURCE]#

Computes the generalized volume of simplices from edge lengths alone.

This is a convenience function that checks the number of corners in the simplex and is returns the identity in case of edges, and calls either triangle_areas, or tetrahedron_volumes for triangles and tetrahedra resp.

Parameters:

  • edge_lengths (Tensor[Float, [Edges]]) – Tensor of edge lengths where Edges is the number of edges in the mesh.

  • face_to_edge (Tensor[Float, [S, 1 | 3 | 6]]) – Indexes into edge_lengths. Usually obtained using get_subfaces.

Returns:

​ (Tensor[Float, [S]]) – Simplices generlized volumes.