triangle_barycentric_coordinates

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

Computes the barycentric coordinates of points on triangles.

Parameters:

• x (Tensor[Float, [Bs, Dim]]) – Batched points of dimension Dim, with Dim being either 2 or 3.

• triangles (Tensor[Float, [Bs, 3, Dim]]) – Batched triangle corners.

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

Returns:

• ​ (Tensor[Float, [Bs, 3]]) – Barycentric coordinates.

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