hom_mat3d_scale_localT_hom_mat3d_scale_localHomMat3dScaleLocalhom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocal (Operator)

Name

hom_mat3d_scale_localT_hom_mat3d_scale_localHomMat3dScaleLocalhom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocal — Add a scaling to a homogeneous 3D transformation matrix.

Signature

Description

hom_mat3d_scale_localhom_mat3d_scale_localHomMat3dScaleLocalhom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocal adds a scaling by the scale factors SxSxSxSxSxsx, SySySySySysy, and SzSzSzSzSzsz to the homogeneous 3D transformation matrix HomMat3DHomMat3DHomMat3DHomMat3DHomMat3DhomMat3D and returns the resulting matrix in HomMat3DScaleHomMat3DScaleHomMat3DScaleHomMat3DScaleHomMat3DScalehomMat3DScale. The scaling is described by a 3×3 scaling matrix S. In contrast to hom_mat3d_scalehom_mat3d_scaleHomMat3dScalehom_mat3d_scaleHomMat3dScaleHomMat3dScale, it is performed relative to the local coordinate system, i.e., the coordinate system described by HomMat3DHomMat3DHomMat3DHomMat3DHomMat3DhomMat3D; this corresponds to the following chain of transformation matrices:

                             /        0 \          / Sx 0  0  \
  HomMat3DScale = HomMat3D * |   S    0 |      S = | 0  Sy 0  |
                             |        0 |          \ 0  0  Sz /
                             \ 0 0 0  1 /

The fixed point of the transformation is the origin of the local coordinate system, i.e., this point remains unchanged when transformed using HomMat3DScaleHomMat3DScaleHomMat3DScaleHomMat3DScaleHomMat3DScalehomMat3DScale.

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

    / ra rb rc td \
    | re rf rg th |
    | ri rj rk tl |
    \ 0  0  0  1  /

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.

Parallelization

• Multithreading type: reentrant (runs in parallel with non-exclusive operators).
• Multithreading scope: global (may be called from any thread).
• Processed without parallelization.

Parameters

Result

hom_mat3d_scale_localhom_mat3d_scale_localHomMat3dScaleLocalhom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocal returns 2 (H_MSG_TRUE) if all three scale factors are not 0. If necessary, an exception is raised.

Possible Predecessors

hom_mat3d_identityhom_mat3d_identityHomMat3dIdentityhom_mat3d_identityHomMat3dIdentityHomMat3dIdentity, hom_mat3d_translate_localhom_mat3d_translate_localHomMat3dTranslateLocalhom_mat3d_translate_localHomMat3dTranslateLocalHomMat3dTranslateLocal, hom_mat3d_scale_localhom_mat3d_scale_localHomMat3dScaleLocalhom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocal, hom_mat3d_rotate_localhom_mat3d_rotate_localHomMat3dRotateLocalhom_mat3d_rotate_localHomMat3dRotateLocalHomMat3dRotateLocal

Possible Successors

hom_mat3d_translate_localhom_mat3d_translate_localHomMat3dTranslateLocalhom_mat3d_translate_localHomMat3dTranslateLocalHomMat3dTranslateLocal, hom_mat3d_scale_localhom_mat3d_scale_localHomMat3dScaleLocalhom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocal, hom_mat3d_rotate_localhom_mat3d_rotate_localHomMat3dRotateLocalhom_mat3d_rotate_localHomMat3dRotateLocalHomMat3dRotateLocal

See also

hom_mat3d_inverthom_mat3d_invertHomMat3dInverthom_mat3d_invertHomMat3dInvertHomMat3dInvert, hom_mat3d_identityhom_mat3d_identityHomMat3dIdentityhom_mat3d_identityHomMat3dIdentityHomMat3dIdentity, hom_mat3d_scalehom_mat3d_scaleHomMat3dScalehom_mat3d_scaleHomMat3dScaleHomMat3dScale, pose_to_hom_mat3dpose_to_hom_mat3dPoseToHomMat3dpose_to_hom_mat3dPoseToHomMat3dPoseToHomMat3d, hom_mat3d_to_posehom_mat3d_to_poseHomMat3dToPosehom_mat3d_to_poseHomMat3dToPoseHomMat3dToPose, hom_mat3d_composehom_mat3d_composeHomMat3dComposehom_mat3d_composeHomMat3dComposeHomMat3dCompose

Module

Foundation