Operator Reference

HALCON Operator Reference / Transformations / 3D Transformations

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hom_mat3d_scaleT_hom_mat3d_scaleHomMat3dScaleHomMat3dScalehom_mat3d_scale (Operator)

hom_mat3d_scaleT_hom_mat3d_scaleHomMat3dScaleHomMat3dScalehom_mat3d_scale — Add a scaling to a homogeneous 3D transformation matrix.

Signature

hom_mat3d_scale( : : HomMat3D, Sx, Sy, Sz, Px, Py, Pz : HomMat3DScale)

Herror T_hom_mat3d_scale(const Htuple HomMat3D, const Htuple Sx, const Htuple Sy, const Htuple Sz, const Htuple Px, const Htuple Py, const Htuple Pz, Htuple* HomMat3DScale)

void HomMat3dScale(const HTuple& HomMat3D, const HTuple& Sx, const HTuple& Sy, const HTuple& Sz, const HTuple& Px, const HTuple& Py, const HTuple& Pz, HTuple* HomMat3DScale)

HHomMat3D HHomMat3D::HomMat3dScale(const HTuple& Sx, const HTuple& Sy, const HTuple& Sz, const HTuple& Px, const HTuple& Py, const HTuple& Pz) const

HHomMat3D HHomMat3D::HomMat3dScale(double Sx, double Sy, double Sz, double Px, double Py, double Pz) const

static void HOperatorSet.HomMat3dScale(HTuple homMat3D, HTuple sx, HTuple sy, HTuple sz, HTuple px, HTuple py, HTuple pz, out HTuple homMat3DScale)

HHomMat3D HHomMat3D.HomMat3dScale(HTuple sx, HTuple sy, HTuple sz, HTuple px, HTuple py, HTuple pz)

HHomMat3D HHomMat3D.HomMat3dScale(double sx, double sy, double sz, double px, double py, double pz)

def hom_mat3d_scale(hom_mat_3d: Sequence[float], sx: Union[float, int], sy: Union[float, int], sz: Union[float, int], px: Union[float, int], py: Union[float, int], pz: Union[float, int]) -> Sequence[float]

Description

hom_mat3d_scalehom_mat3d_scaleHomMat3dScaleHomMat3dScalehom_mat3d_scale adds a scaling by the scale factors SxSxSxsxsx, SySySysysy, and SzSzSzszsz to the homogeneous 3D transformation matrix HomMat3DHomMat3DHomMat3DhomMat3Dhom_mat_3d and returns the resulting matrix in HomMat3DScaleHomMat3DScaleHomMat3DScalehomMat3DScalehom_mat_3dscale. The scaling is described by a 3×3 scaling matrix S. It is performed relative to the global (i.e., fixed) coordinate system; this corresponds to the following chain of transformation matrices:

The point (PxPxPxpxpx,PyPyPypypy,PzPzPzpzpz) is the fixed point of the transformation, i.e., this point remains unchanged when transformed using HomMat3DScaleHomMat3DScaleHomMat3DScalehomMat3DScalehom_mat_3dscale. To obtain this behavior, first a translation is added to the input transformation matrix that moves the fixed point onto the origin of the global coordinate system. Then, the scaling is added, and finally a translation that moves the fixed point back to its original position. This corresponds to the following chain of transformations:

To perform the transformation in the local coordinate system, i.e., the one described by HomMat3DHomMat3DHomMat3DhomMat3Dhom_mat_3d, use hom_mat3d_scale_localhom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocalhom_mat3d_scale_local.

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

HomMat3DHomMat3DHomMat3DhomMat3Dhom_mat_3d (input_control)  hom_mat3d → HHomMat3D, HTupleSequence[float]HTupleHtuple (real) (double) (double) (double)

Input transformation matrix.

SxSxSxsxsx (input_control)  number → HTupleUnion[float, int]HTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)

Scale factor along the x-axis.

Default: 2

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

Restriction: Sx != 0

SySySysysy (input_control)  number → HTupleUnion[float, int]HTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)

Scale factor along the y-axis.

Default: 2

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

Restriction: Sy != 0

SzSzSzszsz (input_control)  number → HTupleUnion[float, int]HTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)

Scale factor along the z-axis.

Default: 2

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

Restriction: Sz != 0

PxPxPxpxpx (input_control)  point3d.x → HTupleUnion[float, int]HTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)

Fixed point of the transformation (x coordinate).

Default: 0

Suggested values: 0, 16, 32, 64, 128, 256, 512, 1024

PyPyPypypy (input_control)  point3d.y → HTupleUnion[float, int]HTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)

Fixed point of the transformation (y coordinate).

Default: 0

Suggested values: 0, 16, 32, 64, 128, 256, 512, 1024

PzPzPzpzpz (input_control)  point3d.z → HTupleUnion[float, int]HTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)

Fixed point of the transformation (z coordinate).

Default: 0

Suggested values: 0, 16, 32, 64, 128, 256, 512, 1024

HomMat3DScaleHomMat3DScaleHomMat3DScalehomMat3DScalehom_mat_3dscale (output_control)  hom_mat3d → HHomMat3D, HTupleSequence[float]HTupleHtuple (real) (double) (double) (double)

Output transformation matrix.

Result

hom_mat3d_scalehom_mat3d_scaleHomMat3dScaleHomMat3dScalehom_mat3d_scale 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_identityHomMat3dIdentityHomMat3dIdentityhom_mat3d_identity, hom_mat3d_translatehom_mat3d_translateHomMat3dTranslateHomMat3dTranslatehom_mat3d_translate, hom_mat3d_scalehom_mat3d_scaleHomMat3dScaleHomMat3dScalehom_mat3d_scale, hom_mat3d_rotatehom_mat3d_rotateHomMat3dRotateHomMat3dRotatehom_mat3d_rotate

Possible Successors

hom_mat3d_translatehom_mat3d_translateHomMat3dTranslateHomMat3dTranslatehom_mat3d_translate, hom_mat3d_scalehom_mat3d_scaleHomMat3dScaleHomMat3dScalehom_mat3d_scale, hom_mat3d_rotatehom_mat3d_rotateHomMat3dRotateHomMat3dRotatehom_mat3d_rotate

See also

hom_mat3d_inverthom_mat3d_invertHomMat3dInvertHomMat3dInverthom_mat3d_invert, hom_mat3d_identityhom_mat3d_identityHomMat3dIdentityHomMat3dIdentityhom_mat3d_identity, hom_mat3d_scale_localhom_mat3d_scale_localHomMat3dScaleLocalHomMat3dScaleLocalhom_mat3d_scale_local, pose_to_hom_mat3dpose_to_hom_mat3dPoseToHomMat3dPoseToHomMat3dpose_to_hom_mat3d, hom_mat3d_to_posehom_mat3d_to_poseHomMat3dToPoseHomMat3dToPosehom_mat3d_to_pose, hom_mat3d_composehom_mat3d_composeHomMat3dComposeHomMat3dComposehom_mat3d_compose

Module

Foundation

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