hom_mat3d_rotate_localT_hom_mat3d_rotate_localHomMat3dRotateLocalHomMat3dRotateLocalhom_mat3d_rotate_local (Operator)

Name

hom_mat3d_rotate_localT_hom_mat3d_rotate_localHomMat3dRotateLocalHomMat3dRotateLocalhom_mat3d_rotate_local — Add a rotation to a homogeneous 3D transformation matrix.

Signature

Description

hom_mat3d_rotate_localhom_mat3d_rotate_localHomMat3dRotateLocalHomMat3dRotateLocalHomMat3dRotateLocalhom_mat3d_rotate_local adds a rotation by the angle PhiPhiPhiPhiphiphi around the axis passed in the parameter AxisAxisAxisAxisaxisaxis to the homogeneous 3D transformation matrix HomMat3DHomMat3DHomMat3DHomMat3DhomMat3Dhom_mat_3d and returns the resulting matrix in HomMat3DRotateHomMat3DRotateHomMat3DRotateHomMat3DRotatehomMat3DRotatehom_mat_3drotate. 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_rotatehom_mat3d_rotateHomMat3dRotateHomMat3dRotateHomMat3dRotatehom_mat3d_rotate, it is performed relative to the local coordinate system, i.e., the coordinate system described by HomMat3DHomMat3DHomMat3DHomMat3DhomMat3Dhom_mat_3d; this corresponds to the following chain of transformation matrices:

AxisAxisAxisAxisaxisaxis = 'x'"x""x""x""x""x":

AxisAxisAxisAxisaxisaxis = 'y'"y""y""y""y""y":

AxisAxisAxisAxisaxisaxis = 'z'"z""z""z""z""z":

AxisAxisAxisAxisaxisaxis = [x,y,z]:

The fixed point of the transformation is the origin of the local coordinate system, i.e., this point remains unchanged when transformed using HomMat3DRotateHomMat3DRotateHomMat3DRotateHomMat3DRotatehomMat3DRotatehom_mat_3drotate.

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

Result

If the parameters are valid, the operator hom_mat3d_rotate_localhom_mat3d_rotate_localHomMat3dRotateLocalHomMat3dRotateLocalHomMat3dRotateLocalhom_mat3d_rotate_local returns TRUE. If necessary, an exception is raised.

Possible Predecessors

hom_mat3d_identityhom_mat3d_identityHomMat3dIdentityHomMat3dIdentityHomMat3dIdentityhom_mat3d_identity, hom_mat3d_translate_localhom_mat3d_translate_localHomMat3dTranslateLocalHomMat3dTranslateLocalHomMat3dTranslateLocalhom_mat3d_translate_local, hom_mat3d_scale_localhom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocalHomMat3dScaleLocalhom_mat3d_scale_local, hom_mat3d_rotate_localhom_mat3d_rotate_localHomMat3dRotateLocalHomMat3dRotateLocalHomMat3dRotateLocalhom_mat3d_rotate_local

Possible Successors

hom_mat3d_translate_localhom_mat3d_translate_localHomMat3dTranslateLocalHomMat3dTranslateLocalHomMat3dTranslateLocalhom_mat3d_translate_local, hom_mat3d_scale_localhom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocalHomMat3dScaleLocalhom_mat3d_scale_local, hom_mat3d_rotate_localhom_mat3d_rotate_localHomMat3dRotateLocalHomMat3dRotateLocalHomMat3dRotateLocalhom_mat3d_rotate_local

See also

hom_mat3d_inverthom_mat3d_invertHomMat3dInvertHomMat3dInvertHomMat3dInverthom_mat3d_invert, hom_mat3d_identityhom_mat3d_identityHomMat3dIdentityHomMat3dIdentityHomMat3dIdentityhom_mat3d_identity, hom_mat3d_rotatehom_mat3d_rotateHomMat3dRotateHomMat3dRotateHomMat3dRotatehom_mat3d_rotate, pose_to_hom_mat3dpose_to_hom_mat3dPoseToHomMat3dPoseToHomMat3dPoseToHomMat3dpose_to_hom_mat3d, hom_mat3d_to_posehom_mat3d_to_poseHomMat3dToPoseHomMat3dToPoseHomMat3dToPosehom_mat3d_to_pose, hom_mat3d_composehom_mat3d_composeHomMat3dComposeHomMat3dComposeHomMat3dComposehom_mat3d_compose

Module

Foundation