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tfg.geometry.transformation.rotation_matrix_2d.is_valid

Determines if a matrix is a valid rotation matrix.

tfg.geometry.transformation.rotation_matrix_2d.is_valid(
    matrix,
    atol=0.001,
    name=None
)

Defined in geometry/transformation/rotation_matrix_2d.py.

Determines if a matrix

\(\mathbf{R}\)
is a valid rotation matrix by checking that
\(\mathbf{R}^T\mathbf{R} = \mathbf{I}\)
and
\(\det(\mathbf{R}) = 1\)
.

Note:

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

Args:

  • matrix: A tensor of shape [A1, ..., An, 2, 2], where the last two dimensions represent a 2d rotation matrix.
  • atol: The absolute tolerance parameter.
  • name: A name for this op that defaults to "rotation_matrix_2d_is_valid".

Returns:

A tensor of type bool and shape [A1, ..., An, 1] where False indicates that the input is not a valid rotation matrix.