tfg.geometry.transformation.rotation_matrix_common.is_valid
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Determines if a matrix in K-dimensions is a valid rotation matrix.
tfg . geometry . transformation . rotation_matrix_common . is_valid (
matrix : type_alias . TensorLike ,
atol : type_alias . Float = 0.001 ,
name : str = & #x27;rotation_matrix_common_is_valid'
) -> tf . Tensor
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, K, K]
, where the last two
dimensions represent a rotation matrix in K-dimensions.
atol
The absolute tolerance parameter.
name
A name for this op that defaults to "rotation_matrix_common_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.
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Last updated 2022-10-28 UTC.
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