tetrahedron_barycentric_coordinates

iskra.geometry.barycentric.tetrahedron_barycentric_coordinates(x: Tensor, tets: Tensor, eps: float = 1e-12) → tuple[Tensor, Tensor][SOURCE]

Computes the barycentric coordinates of points in tetrahedra.

Parameters:

• x (Tensor[Float, [Bs, 3]]) – Batched points in 3 dimensions.

• tets (Tensor[Float, [Bs, 4, 3]]) – Batched tetrahedra corners.

• eps (float) – Numerical epsilon to use when dividing by the volume of a tetrahedron.

Returns:

• ​ (Tensor[Float, [Bs, 4]]) – Barycentric coordinates.

• ​​ (Tensor[Bool, [Bs]]) – Boolean indicating whether the barycentric weights were valid, i.e. whether the tetrahedron was non-degenerate.