tetrahedron_volumes_intrinsic#

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

Computes the volume of tetrahedra from edge lengths alone.

Implements [https://en.wikipedia.org/wiki/Heron%27s_formula#Volume_of_a_tetrahedron](https://en.wikipedia.org/wiki/Heron%27s_formula#Volume_of_a_tetrahedron).

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, [Tets, 6]]) – Indexes into edge_lengths. Usually obtained using get_subfaces.

Returns:

​ (Tensor[Float, [Tets]]) – Tetrahedra volumes.