hom_mat3d_scale_local
— Add a scaling to a homogeneous 3D transformation matrix.
hom_mat3d_scale_local( : : HomMat3D, Sx, Sy, Sz : HomMat3DScale)
hom_mat3d_scale_local
adds a scaling by the scale factors
Sx
, Sy
, and Sz
to the homogeneous 3D
transformation matrix HomMat3D
and returns the resulting matrix in
HomMat3DScale
. The scaling is described by a 3×3
scaling matrix S. In contrast to
hom_mat3d_scale
, 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:
The fixed point of the transformation is the origin of the local
coordinate system, i.e., this point remains unchanged when
transformed using HomMat3DScale
.
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.
HomMat3D
(input_control) hom_mat3d →
(real)
Input transformation matrix.
Sx
(input_control) number →
(real / integer)
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
Sy
(input_control) number →
(real / integer)
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
Sz
(input_control) number →
(real / integer)
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
HomMat3DScale
(output_control) hom_mat3d →
(real)
Output transformation matrix.
hom_mat3d_scale_local
returns 2 (H_MSG_TRUE) if all three scale
factors are not 0. If necessary, an exception is raised.
hom_mat3d_identity
,
hom_mat3d_translate_local
,
hom_mat3d_scale_local
,
hom_mat3d_rotate_local
hom_mat3d_translate_local
,
hom_mat3d_scale_local
,
hom_mat3d_rotate_local
hom_mat3d_invert
,
hom_mat3d_identity
,
hom_mat3d_scale
,
pose_to_hom_mat3d
,
hom_mat3d_to_pose
,
hom_mat3d_compose
Foundation