Name
hom_mat2d_reflectT_hom_mat2d_reflectHomMat2dReflecthom_mat2d_reflectHomMat2dReflectHomMat2dReflect — Add a reflection to a homogeneous 2D transformation matrix.
void HomMat2dReflect(const HTuple& HomMat2D, const HTuple& Px, const HTuple& Py, const HTuple& Qx, const HTuple& Qy, HTuple* HomMat2DReflect)
HHomMat2D HHomMat2D::HomMat2dReflect(const HTuple& Px, const HTuple& Py, const HTuple& Qx, const HTuple& Qy) const
HHomMat2D HHomMat2D::HomMat2dReflect(double Px, double Py, double Qx, double Qy) const
static void HOperatorSet.HomMat2dReflect(HTuple homMat2D, HTuple px, HTuple py, HTuple qx, HTuple qy, out HTuple homMat2DReflect)
HHomMat2D HHomMat2D.HomMat2dReflect(HTuple px, HTuple py, HTuple qx, HTuple qy)
HHomMat2D HHomMat2D.HomMat2dReflect(double px, double py, double qx, double qy)
hom_mat2d_reflecthom_mat2d_reflectHomMat2dReflecthom_mat2d_reflectHomMat2dReflectHomMat2dReflect adds a reflection about the axis given by the
two points (PxPxPxPxPxpx,PyPyPyPyPypy) and (QxQxQxQxQxqx,QyQyQyQyQyqy) to the
homogeneous 2D transformation matrix HomMat2DHomMat2DHomMat2DHomMat2DHomMat2DhomMat2D and returns the
resulting matrix in HomMat2DReflectHomMat2DReflectHomMat2DReflectHomMat2DReflectHomMat2DReflecthomMat2DReflect. The reflection is described
by a 2×2 reflection matrix M.
It is performed relative to the global (i.e., fixed) coordinate system;
this corresponds to the following chain of transformation matrices:
The axis (PxPxPxPxPxpx,PyPyPyPyPypy)-(QxQxQxQxQxqx,QyQyQyQyQyqy) is fixed in
the transformation, i.e., the points on the axis remain unchanged when
transformed using HomMat2DReflectHomMat2DReflectHomMat2DReflectHomMat2DReflectHomMat2DReflecthomMat2DReflect. To obtain this behavior, first
a translation is added to the input transformation matrix that moves the
axis onto the origin of the global coordinate system. Then, the reflection
is added, and finally a translation that moves the axis 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_reflect_localhom_mat2d_reflect_localHomMat2dReflectLocalhom_mat2d_reflect_localHomMat2dReflectLocalHomMat2dReflectLocal.
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.
PxPxPxPxPxpx (input_control) point.x → HTupleHTupleHTupleVARIANTHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong) (double / Hlong) (double / Hlong)
First point of the axis (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)
First point of the axis (y coordinate).
Default value: 0
Suggested values: 0, 16, 32, 64, 128, 256, 512, 1024
QxQxQxQxQxqx (input_control) point.x → HTupleHTupleHTupleVARIANTHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong) (double / Hlong) (double / Hlong)
Second point of the axis (x coordinate).
Default value: 16
Suggested values: 0, 16, 32, 64, 128, 256, 512, 1024
QyQyQyQyQyqy (input_control) point.y → HTupleHTupleHTupleVARIANTHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong) (double / Hlong) (double / Hlong)
Second point of the axis (y coordinate).
Default value: 32
Suggested values: 0, 16, 32, 64, 128, 256, 512, 1024
Output transformation matrix.
hom_mat2d_reflecthom_mat2d_reflectHomMat2dReflecthom_mat2d_reflectHomMat2dReflectHomMat2dReflect returns 2 (H_MSG_TRUE) if both points on the axis are not
identical. 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_reflect_localhom_mat2d_reflect_localHomMat2dReflectLocalhom_mat2d_reflect_localHomMat2dReflectLocalHomMat2dReflectLocal
Foundation