ClassesClassesClassesClasses | | | | Operators

hom_mat2d_reflect_localT_hom_mat2d_reflect_localHomMat2dReflectLocalhom_mat2d_reflect_localHomMat2dReflectLocalHomMat2dReflectLocal (Operator)

Name

hom_mat2d_reflect_localT_hom_mat2d_reflect_localHomMat2dReflectLocalhom_mat2d_reflect_localHomMat2dReflectLocalHomMat2dReflectLocal — Add a reflection to a homogeneous 2D transformation matrix.

Signature

hom_mat2d_reflect_local( : : HomMat2D, Px, Py : HomMat2DReflect)

Herror T_hom_mat2d_reflect_local(const Htuple HomMat2D, const Htuple Px, const Htuple Py, Htuple* HomMat2DReflect)

Herror hom_mat2d_reflect_local(const HTuple& HomMat2D, const HTuple& Px, const HTuple& Py, HTuple* HomMat2DReflect)

void HomMat2dReflectLocal(const HTuple& HomMat2D, const HTuple& Px, const HTuple& Py, HTuple* HomMat2DReflect)

HHomMat2D HHomMat2D::HomMat2dReflectLocal(const HTuple& Px, const HTuple& Py) const

HHomMat2D HHomMat2D::HomMat2dReflectLocal(double Px, double Py) const

void HOperatorSetX.HomMat2dReflectLocal(
[in] VARIANT HomMat2d, [in] VARIANT Px, [in] VARIANT Py, [out] VARIANT* HomMat2dReflect)

IHHomMat2DX* HHomMat2DX.HomMat2dReflectLocal(
[in] VARIANT Px, [in] VARIANT Py)

static void HOperatorSet.HomMat2dReflectLocal(HTuple homMat2D, HTuple px, HTuple py, out HTuple homMat2DReflect)

HHomMat2D HHomMat2D.HomMat2dReflectLocal(HTuple px, HTuple py)

HHomMat2D HHomMat2D.HomMat2dReflectLocal(double px, double py)

Description

hom_mat2d_reflect_localhom_mat2d_reflect_localHomMat2dReflectLocalhom_mat2d_reflect_localHomMat2dReflectLocalHomMat2dReflectLocal adds a reflection about the axis given by the two points (0,0) and (PxPxPxPxPxpx,PyPyPyPyPypy) 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. In contrast to hom_mat2d_reflecthom_mat2d_reflectHomMat2dReflecthom_mat2d_reflectHomMat2dReflectHomMat2dReflect, 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:

                    / Mxx Mxy 0 \
  HomMat2DReflect = | Mxy Myy 0 | * HomMat2D
                    \ 0   0   1 /

                              2      T
       M = | Mxx Mxy | = I - ---- v*v
           | Mxy Myy |        T
                             v *v

                    T
  where v = (-Py,Px)  is the normal vector to the axis.

The axis (0,0)-(PxPxPxPxPxpx,PyPyPyPyPypy) is fixed in the transformation, i.e., the points on the axis remain unchanged when transformed using HomMat2DReflectHomMat2DReflectHomMat2DReflectHomMat2DReflectHomMat2DReflecthomMat2DReflect.

Attention

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

    / ra rb tc \
    | rd re tf |
    \ 0  0  1  /

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.

Parallelization

Parameters

HomMat2DHomMat2DHomMat2DHomMat2DHomMat2DhomMat2D (input_control)  hom_mat2d HHomMat2D, HTupleHTupleHTupleHHomMat2DX, VARIANTHtuple (real) (double) (double) (double) (double) (double)

Input transformation matrix.

PxPxPxPxPxpx (input_control)  point.x HTupleHTupleHTupleVARIANTHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong) (double / Hlong) (double / Hlong)

Point that defines the axis (x coordinate).

Default value: 16

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)

Point that defines the axis (y coordinate).

Default value: 32

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

HomMat2DReflectHomMat2DReflectHomMat2DReflectHomMat2DReflectHomMat2DReflecthomMat2DReflect (output_control)  hom_mat2d HHomMat2D, HTupleHTupleHTupleHHomMat2DX, VARIANTHtuple (real) (double) (double) (double) (double) (double)

Output transformation matrix.

Result

hom_mat2d_reflect_localhom_mat2d_reflect_localHomMat2dReflectLocalhom_mat2d_reflect_localHomMat2dReflectLocalHomMat2dReflectLocal returns 2 (H_MSG_TRUE) if the point (PxPxPxPxPxpx,PyPyPyPyPypy) is not (0,0). If necessary, an exception is raised.

Possible Predecessors

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

Possible Successors

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

See also

hom_mat2d_reflecthom_mat2d_reflectHomMat2dReflecthom_mat2d_reflectHomMat2dReflectHomMat2dReflect

Module

Foundation


ClassesClassesClassesClasses | | | | Operators