tfg.geometry.representation.triangle.area

Computes triangle areas.

tfg.geometry.representation.triangle.area(
    v0: type_alias.TensorLike,
    v1: type_alias.TensorLike,
    v2: type_alias.TensorLike,
    name: str = 'triangle_area'
) -> tf.Tensor

Note: Computed triangle area = 0.5 * | e1 x e2 | where e1 and e2 are edges of triangle. A degenerate triangle will return 0 area, whereas the normal for a degenerate triangle is not defined.

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

Args
v0	A tensor of shape [A1, ..., An, 3], where the last dimension represents the first vertex of a triangle.
v1	A tensor of shape [A1, ..., An, 3], where the last dimension represents the second vertex of a triangle.
v2	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".

Returns
A tensor of shape [A1, ..., An, 1], where the last dimension represents a normalized vector.