Name
hom_mat2d_scaleT_hom_mat2d_scaleHomMat2dScalehom_mat2d_scaleHomMat2dScaleHomMat2dScale — Add a scaling to a homogeneous 2D transformation matrix.
void HomMat2dScale(const HTuple& HomMat2D, const HTuple& Sx, const HTuple& Sy, const HTuple& Px, const HTuple& Py, HTuple* HomMat2DScale)
HHomMat2D HHomMat2D::HomMat2dScale(const HTuple& Sx, const HTuple& Sy, const HTuple& Px, const HTuple& Py) const
HHomMat2D HHomMat2D::HomMat2dScale(double Sx, double Sy, double Px, double Py) const
static void HOperatorSet.HomMat2dScale(HTuple homMat2D, HTuple sx, HTuple sy, HTuple px, HTuple py, out HTuple homMat2DScale)
HHomMat2D HHomMat2D.HomMat2dScale(HTuple sx, HTuple sy, HTuple px, HTuple py)
HHomMat2D HHomMat2D.HomMat2dScale(double sx, double sy, double px, double py)
hom_mat2d_scalehom_mat2d_scaleHomMat2dScalehom_mat2d_scaleHomMat2dScaleHomMat2dScale 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. It is performed relative to the global
(i.e., fixed) coordinate system; this corresponds to the following chain of
transformation matrices:
The point (PxPxPxPxPxpx,PyPyPyPyPypy) is the fixed point of the transformation,
i.e., this point remains unchanged when transformed using
HomMat2DScaleHomMat2DScaleHomMat2DScaleHomMat2DScaleHomMat2DScalehomMat2DScale. 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 HomMat2DHomMat2DHomMat2DHomMat2DHomMat2DhomMat2D, use
hom_mat2d_scale_localhom_mat2d_scale_localHomMat2dScaleLocalhom_mat2d_scale_localHomMat2dScaleLocalHomMat2dScaleLocal.
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
PxPxPxPxPxpx (input_control) point.x → HTupleHTupleHTupleVARIANTHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong) (double / Hlong) (double / Hlong)
Fixed point of the transformation (x coordinate).
Default value: 0
Suggested values: 0, 16, 32, 64, 128, 256, 512, 1024
PyPyPyPyPypy (input_control) point.y → HTupleHTupleHTupleVARIANTHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong) (double / Hlong) (double / Hlong)
Fixed point of the transformation (y coordinate).
Default value: 0
Suggested values: 0, 16, 32, 64, 128, 256, 512, 1024
Output transformation matrix.
hom_mat2d_scalehom_mat2d_scaleHomMat2dScalehom_mat2d_scaleHomMat2dScaleHomMat2dScale 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_translatehom_mat2d_translateHomMat2dTranslatehom_mat2d_translateHomMat2dTranslateHomMat2dTranslate,
hom_mat2d_scalehom_mat2d_scaleHomMat2dScalehom_mat2d_scaleHomMat2dScaleHomMat2dScale,
hom_mat2d_rotatehom_mat2d_rotateHomMat2dRotatehom_mat2d_rotateHomMat2dRotateHomMat2dRotate,
hom_mat2d_slanthom_mat2d_slantHomMat2dSlanthom_mat2d_slantHomMat2dSlantHomMat2dSlant,
hom_mat2d_reflecthom_mat2d_reflectHomMat2dReflecthom_mat2d_reflectHomMat2dReflectHomMat2dReflect
hom_mat2d_translatehom_mat2d_translateHomMat2dTranslatehom_mat2d_translateHomMat2dTranslateHomMat2dTranslate,
hom_mat2d_scalehom_mat2d_scaleHomMat2dScalehom_mat2d_scaleHomMat2dScaleHomMat2dScale,
hom_mat2d_rotatehom_mat2d_rotateHomMat2dRotatehom_mat2d_rotateHomMat2dRotateHomMat2dRotate,
hom_mat2d_slanthom_mat2d_slantHomMat2dSlanthom_mat2d_slantHomMat2dSlantHomMat2dSlant,
hom_mat2d_reflecthom_mat2d_reflectHomMat2dReflecthom_mat2d_reflectHomMat2dReflectHomMat2dReflect
hom_mat2d_scale_localhom_mat2d_scale_localHomMat2dScaleLocalhom_mat2d_scale_localHomMat2dScaleLocalHomMat2dScaleLocal
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