Operator Reference
hom_mat3d_rotate_local (Operator)
hom_mat3d_rotate_local — Add a rotation to a homogeneous 3D transformation matrix.
Signature
hom_mat3d_rotate_local( : : HomMat3D, Phi, Axis : HomMat3DRotate)
Description
hom_mat3d_rotate_local adds a rotation by the angle Phi
around the axis passed in the parameter Axis to the homogeneous 3D
transformation matrix HomMat3D and returns the resulting matrix in
HomMat3DRotate. The axis can be specified by passing the strings
'x', 'y', or 'z', or by passing a vector [x,y,z] as a tuple.
The rotation is described by a 3×3 rotation matrix
R. In contrast to hom_mat3d_rotate, it
is performed relative to the local coordinate system, i.e., the coordinate
system described by HomMat3D; this corresponds to the following
chain of transformation matrices:
Axis = 'x':
Axis = 'y':
Axis = 'z':
The fixed point of the transformation is the origin of the local
coordinate system, i.e., this point remains unchanged when
transformed using HomMat3DRotate.
Attention
Note that homogeneous matrices are stored row-by-row as a tuple; the last row is usually not stored because it is identical for all homogeneous matrices that describe an affine transformation. For example, the homogeneous matrix is stored as the tuple [ra, rb, rc, td, re, rf, rg, th, ri, rj, rk, tl]. However, it is also possible to process full 4×4 matrices, which represent a projective 4D transformation.
Execution Information
- Multithreading type: reentrant (runs in parallel with non-exclusive operators).
- Multithreading scope: global (may be called from any thread).
- Processed without parallelization.
Parameters
HomMat3D (input_control) hom_mat3d → (real)
Input transformation matrix.
Phi (input_control) angle.rad → (real / integer)
Rotation angle.
Default: 0.78
Suggested values: 0.1, 0.2, 0.3, 0.4, 0.78, 1.57, 3.14
Value range:
0
≤
Phi
≤
6.28318530718
Axis (input_control) string(-array) → (string / real / integer)
Axis, to be rotated around.
Default: 'x'
Suggested values: 'x', 'y', 'z'
HomMat3DRotate (output_control) hom_mat3d → (real)
Output transformation matrix.
Result
If the parameters are valid, the operator
hom_mat3d_rotate_local returns
2 (
H_MSG_TRUE)
. If necessary, an exception is raised.
Possible Predecessors
hom_mat3d_identity,
hom_mat3d_translate_local,
hom_mat3d_scale_local,
hom_mat3d_rotate_local
Possible Successors
hom_mat3d_translate_local,
hom_mat3d_scale_local,
hom_mat3d_rotate_local
See also
hom_mat3d_invert,
hom_mat3d_identity,
hom_mat3d_rotate,
pose_to_hom_mat3d,
hom_mat3d_to_pose,
hom_mat3d_compose
Module
Foundation