Name
hom_mat2d_scale_localT_hom_mat2d_scale_localHomMat2dScaleLocalhom_mat2d_scale_localHomMat2dScaleLocalHomMat2dScaleLocal — Add a scaling to a homogeneous 2D transformation matrix.
hom_mat2d_scale_localhom_mat2d_scale_localHomMat2dScaleLocalhom_mat2d_scale_localHomMat2dScaleLocalHomMat2dScaleLocal adds a scaling by the scale factors SxSxSxSxSxsx
and SySySySySysy to the homogeneous 2D transformation matrix HomMat2DHomMat2DHomMat2DHomMat2DHomMat2DhomMat2D
and returns the resulting matrix in HomMat2DScaleHomMat2DScaleHomMat2DScaleHomMat2DScaleHomMat2DScalehomMat2DScale. The scaling is
described by a 2×2 scaling matrix
S. In contrast to hom_mat2d_scalehom_mat2d_scaleHomMat2dScalehom_mat2d_scaleHomMat2dScaleHomMat2dScale, it is
performed relative to the local coordinate system, i.e., the coordinate
system described by HomMat2DHomMat2DHomMat2DHomMat2DHomMat2DhomMat2D; 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 HomMat2DScaleHomMat2DScaleHomMat2DScaleHomMat2DScaleHomMat2DScalehomMat2DScale.
It should be noted that homogeneous transformation matrices refer to
a general right-handed mathematical coordinate system. If a
homogeneous transformation matrix is used to transform images,
regions, XLD contours, or any other data that has been extracted
from images, the row coordinates of the transformation must be
passed in the x coordinates, while the column coordinates must be
passed in the y coordinates. Consequently, the order of passing row
and column coordinates follows the usual order
(RowRowRowRowRowrow,ColumnColumnColumnColumnColumncolumn). This convention is essential to
obtain a right-handed coordinate system for the transformation of
iconic data, and consequently to ensure in particular that rotations
are performed in the correct mathematical direction.
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, tc, rd, re, tf]. However, it is also
possible to process full 3×3 matrices, which represent
a projective 2D transformation.
- Multithreading type: reentrant (runs in parallel with non-exclusive operators).
- Multithreading scope: global (may be called from any thread).
- Processed without parallelization.
Input transformation matrix.
SxSxSxSxSxsx (input_control) number → HTupleHTupleHTupleVARIANTHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong) (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, 16
Restriction: Sx != 0
SySySySySysy (input_control) number → HTupleHTupleHTupleVARIANTHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong) (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, 16
Restriction: Sy != 0
Output transformation matrix.
hom_mat2d_scale_localhom_mat2d_scale_localHomMat2dScaleLocalhom_mat2d_scale_localHomMat2dScaleLocalHomMat2dScaleLocal returns 2 (H_MSG_TRUE) if both scale factors are not
0. If necessary, an exception is raised.
hom_mat2d_identityhom_mat2d_identityHomMat2dIdentityhom_mat2d_identityHomMat2dIdentityHomMat2dIdentity,
hom_mat2d_translate_localhom_mat2d_translate_localHomMat2dTranslateLocalhom_mat2d_translate_localHomMat2dTranslateLocalHomMat2dTranslateLocal,
hom_mat2d_scale_localhom_mat2d_scale_localHomMat2dScaleLocalhom_mat2d_scale_localHomMat2dScaleLocalHomMat2dScaleLocal,
hom_mat2d_rotate_localhom_mat2d_rotate_localHomMat2dRotateLocalhom_mat2d_rotate_localHomMat2dRotateLocalHomMat2dRotateLocal,
hom_mat2d_slant_localhom_mat2d_slant_localHomMat2dSlantLocalhom_mat2d_slant_localHomMat2dSlantLocalHomMat2dSlantLocal,
hom_mat2d_reflect_localhom_mat2d_reflect_localHomMat2dReflectLocalhom_mat2d_reflect_localHomMat2dReflectLocalHomMat2dReflectLocal
hom_mat2d_translate_localhom_mat2d_translate_localHomMat2dTranslateLocalhom_mat2d_translate_localHomMat2dTranslateLocalHomMat2dTranslateLocal,
hom_mat2d_scale_localhom_mat2d_scale_localHomMat2dScaleLocalhom_mat2d_scale_localHomMat2dScaleLocalHomMat2dScaleLocal,
hom_mat2d_rotate_localhom_mat2d_rotate_localHomMat2dRotateLocalhom_mat2d_rotate_localHomMat2dRotateLocalHomMat2dRotateLocal,
hom_mat2d_slant_localhom_mat2d_slant_localHomMat2dSlantLocalhom_mat2d_slant_localHomMat2dSlantLocalHomMat2dSlantLocal,
hom_mat2d_reflect_localhom_mat2d_reflect_localHomMat2dReflectLocalhom_mat2d_reflect_localHomMat2dReflectLocalHomMat2dReflectLocal
hom_mat2d_scalehom_mat2d_scaleHomMat2dScalehom_mat2d_scaleHomMat2dScaleHomMat2dScale
Foundation