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tfg.geometry.transformation.rotation_matrix_common.is_valid

Determines if a matrix in K-dimensions is a valid rotation matrix.

tfg.geometry.transformation.rotation_matrix_common.is_valid(
    matrix, atol=0.001, name='rotation_matrix_common_is_valid'
)

Determines if a matrix

$$\mathbf{R}$$

is a valid rotation matrix by checking that

$$\mathbf{R}^T\mathbf{R} = \mathbf{I}$$

and

$$\det(\mathbf{R}) = 1$$

.

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".

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