Determines if a matrix is a valid rotation matrix.
tfg.geometry.transformation.rotation_matrix_2d.is_valid(
matrix: type_alias.TensorLike,
atol: type_alias.Float = 0.001,
name: str = 'rotation_matrix_2d_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 |
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In the following, A1 to An are optional batch dimensions.
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Args |
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matrix
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A tensor of shape [A1, ..., An, 2, 2], where the last two
dimensions represent a 2d rotation matrix.
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atol
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The absolute tolerance parameter.
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name
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A name for this op that defaults to "rotation_matrix_2d_is_valid".
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Returns |
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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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