closest_simplex

iskra.geometry.distances.closest_simplex(x: Tensor, simplices: Tensor) → tuple[Tensor, Tensor, Tensor][SOURCE]

Finds the closest simplex to a set of points.

Thin dispatcher to one of iskra.closest_edge, iskra.closest_triangle. See documentation of these functions for more information. Bs3 is the shape that results from broadcasting Bs1 and Bs2.

Parameters:

• x (Tensor[Float, [Bs1, Dim]]) – Set of points.

• simplices (Tensor[Float, [Bs2, S, Dim]]) – Set of simplices.

Returns:

• ​ (Tensor[Float, [Bs3, Dim]]) – Closest projection of x onto the set of simplices.

• ​​ (Tensor[Float, [Bs3]]) – Distance of x to the closest projection.

• ​​​ (Tensor[Float, [Bs3]]) – Index of the simplex that was projected on.