tfg.geometry.representation.mesh.sampler.triangle_area

Computes triangle areas.

tfg.geometry.representation.mesh.sampler.triangle_area(
    vertex0: type_alias.TensorLike,
    vertex1: type_alias.TensorLike,
    vertex2: type_alias.TensorLike,
    name: str = 'triangle_area'
) -> type_alias.TensorLike

Computed triangle area = 0.5 * | e1 x e2 | where e1 and e2 are edges of triangle.

In the following, A1 to An are optional batch dimensions, which must be broadcast compatible.

In the following, A1 to An are optional batch dimensions.

vertex0 A tensor of shape [A1, ..., An, 3], where the last dimension represents the first vertex of a triangle.
vertex1 A tensor of shape [A1, ..., An, 3], where the last dimension represents the second vertex of a triangle.
vertex2 A tensor of shape [A1, ..., An, 3], where the last dimension represents the third vertex of a triangle.
name A name for this op. Defaults to "triangle_area".

A tensor of shape [A1, ..., An, 1], where the last dimension represents the triangle areas.