hom_mat3d_scale_localT_hom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocal (Operator)

Name

hom_mat3d_scale_localT_hom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocal — Add a scaling to a homogeneous 3D transformation matrix.

Signature

hom_mat3d_scale_local( : : HomMat3D, Sx, Sy, Sz : HomMat3DScale)

Herror T_hom_mat3d_scale_local(const Htuple HomMat3D, const Htuple Sx, const Htuple Sy, const Htuple Sz, Htuple* HomMat3DScale)

void HomMat3dScaleLocal(const HTuple& HomMat3D, const HTuple& Sx, const HTuple& Sy, const HTuple& Sz, HTuple* HomMat3DScale)

HHomMat3D HHomMat3D::HomMat3dScaleLocal(const HTuple& Sx, const HTuple& Sy, const HTuple& Sz) const

HHomMat3D HHomMat3D::HomMat3dScaleLocal(double Sx, double Sy, double Sz) const

static void HOperatorSet.HomMat3dScaleLocal(HTuple homMat3D, HTuple sx, HTuple sy, HTuple sz, out HTuple homMat3DScale)

HHomMat3D HHomMat3D.HomMat3dScaleLocal(HTuple sx, HTuple sy, HTuple sz)

HHomMat3D HHomMat3D.HomMat3dScaleLocal(double sx, double sy, double sz)

Description

hom_mat3d_scale_localhom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocalHomMat3dScaleLocal adds a scaling by the scale factors SxSxSxSxsx, SySySySysy, and SzSzSzSzsz to the homogeneous 3D transformation matrix HomMat3DHomMat3DHomMat3DHomMat3DhomMat3D and returns the resulting matrix in HomMat3DScaleHomMat3DScaleHomMat3DScaleHomMat3DScalehomMat3DScale. The scaling is described by a 3×3 scaling matrix S. In contrast to hom_mat3d_scalehom_mat3d_scaleHomMat3dScaleHomMat3dScaleHomMat3dScale, it is performed relative to the local coordinate system, i.e., the coordinate system described by HomMat3DHomMat3DHomMat3DHomMat3DhomMat3D; this corresponds to the following chain of transformation matrices:

The fixed point of the transformation is the origin of the local coordinate system, i.e., this point remains unchanged when transformed using HomMat3DScaleHomMat3DScaleHomMat3DScaleHomMat3DScalehomMat3DScale.

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

Parameters

HomMat3DHomMat3DHomMat3DHomMat3DhomMat3D (input_control)  hom_mat3d HHomMat3D, HTupleHTupleHtuple (real) (double) (double) (double)

Input transformation matrix.

SxSxSxSxsx (input_control)  number HTupleHTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)

Scale factor along the x-axis.

Default value: 2

Suggested values: 0.125, 0.25, 0.5, 1, 2, 4, 8, 112

Restriction: Sx != 0

SySySySysy (input_control)  number HTupleHTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)

Scale factor along the y-axis.

Default value: 2

Suggested values: 0.125, 0.25, 0.5, 1, 2, 4, 8, 112

Restriction: Sy != 0

SzSzSzSzsz (input_control)  number HTupleHTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)

Scale factor along the z-axis.

Default value: 2

Suggested values: 0.125, 0.25, 0.5, 1, 2, 4, 8, 112

Restriction: Sz != 0

HomMat3DScaleHomMat3DScaleHomMat3DScaleHomMat3DScalehomMat3DScale (output_control)  hom_mat3d HHomMat3D, HTupleHTupleHtuple (real) (double) (double) (double)

Output transformation matrix.

Result

hom_mat3d_scale_localhom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocalHomMat3dScaleLocal 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_identityHomMat3dIdentityHomMat3dIdentityHomMat3dIdentity, hom_mat3d_translate_localhom_mat3d_translate_localHomMat3dTranslateLocalHomMat3dTranslateLocalHomMat3dTranslateLocal, hom_mat3d_scale_localhom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocalHomMat3dScaleLocal, hom_mat3d_rotate_localhom_mat3d_rotate_localHomMat3dRotateLocalHomMat3dRotateLocalHomMat3dRotateLocal

Possible Successors

hom_mat3d_translate_localhom_mat3d_translate_localHomMat3dTranslateLocalHomMat3dTranslateLocalHomMat3dTranslateLocal, hom_mat3d_scale_localhom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocalHomMat3dScaleLocal, hom_mat3d_rotate_localhom_mat3d_rotate_localHomMat3dRotateLocalHomMat3dRotateLocalHomMat3dRotateLocal

See also

hom_mat3d_inverthom_mat3d_invertHomMat3dInvertHomMat3dInvertHomMat3dInvert, hom_mat3d_identityhom_mat3d_identityHomMat3dIdentityHomMat3dIdentityHomMat3dIdentity, hom_mat3d_scalehom_mat3d_scaleHomMat3dScaleHomMat3dScaleHomMat3dScale, pose_to_hom_mat3dpose_to_hom_mat3dPoseToHomMat3dPoseToHomMat3dPoseToHomMat3d, hom_mat3d_to_posehom_mat3d_to_poseHomMat3dToPoseHomMat3dToPoseHomMat3dToPose, hom_mat3d_composehom_mat3d_composeHomMat3dComposeHomMat3dComposeHomMat3dCompose

Module

Foundation