hom_mat2d_reflect_localT_hom_mat2d_reflect_localHomMat2dReflectLocalHomMat2dReflectLocalhom_mat2d_reflect_local (算子)

名称

hom_mat2d_reflect_localT_hom_mat2d_reflect_localHomMat2dReflectLocalHomMat2dReflectLocalhom_mat2d_reflect_local — 将反射添加到齐次二维变换矩阵中。

签名

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)

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

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)

def hom_mat2d_reflect_local(hom_mat_2d: Sequence[float], px: Union[float, int], py: Union[float, int]) -> Sequence[float]

描述

hom_mat2d_reflect_localhom_mat2d_reflect_localHomMat2dReflectLocalHomMat2dReflectLocalHomMat2dReflectLocalhom_mat2d_reflect_local adds a reflection about the axis given by the two points (0,0) and (PxPxPxPxpxpx,PyPyPyPypypy) to the homogeneous 2D transformation matrix HomMat2DHomMat2DHomMat2DHomMat2DhomMat2Dhom_mat_2d and returns the resulting matrix in HomMat2DReflectHomMat2DReflectHomMat2DReflectHomMat2DReflecthomMat2DReflecthom_mat_2dreflect. The reflection is described by a 2×2 reflection matrix M. In contrast to hom_mat2d_reflecthom_mat2d_reflectHomMat2dReflectHomMat2dReflectHomMat2dReflecthom_mat2d_reflect, it is performed relative to the local coordinate system, i.e., the coordinate system described by HomMat2DHomMat2DHomMat2DHomMat2DhomMat2Dhom_mat_2d; this corresponds to the following chain of transformation matrices:

where v = (-PyPyPyPypypy,PxPxPxPxpxpx)^T 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 HomMat2DReflectHomMat2DReflectHomMat2DReflectHomMat2DReflecthomMat2DReflecthom_mat_2dreflect

注意

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.

执行信息

参数

HomMat2DHomMat2DHomMat2DHomMat2DhomMat2Dhom_mat_2d (输入控制)  hom_mat2d HHomMat2D, HTupleSequence[float]HTupleHtuple (real) (double) (double) (double)

输入变换矩阵。

PxPxPxPxpxpx (输入控制)  point.x HTupleUnion[float, int]HTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)

Point that defines the axis (x coordinate).

默认值: 16

建议值: 0, 16, 32, 64, 128, 256, 512, 1024

PyPyPyPypypy (输入控制)  point.y HTupleUnion[float, int]HTupleHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)

Point that defines the axis (y coordinate).

默认值: 32

建议值: 0, 16, 32, 64, 128, 256, 512, 1024

HomMat2DReflectHomMat2DReflectHomMat2DReflectHomMat2DReflecthomMat2DReflecthom_mat_2dreflect (输出控制)  hom_mat2d HHomMat2D, HTupleSequence[float]HTupleHtuple (real) (double) (double) (double)

Output transformation matrix.

结果

hom_mat2d_reflect_localhom_mat2d_reflect_localHomMat2dReflectLocalHomMat2dReflectLocalHomMat2dReflectLocalhom_mat2d_reflect_local returns 2 ( H_MSG_TRUE) if the point (PxPxPxPxpxpx,PyPyPyPypypy) is not (0,0)。如有必要,则抛出异常。

可能的前趋

hom_mat2d_identityhom_mat2d_identityHomMat2dIdentityHomMat2dIdentityHomMat2dIdentityhom_mat2d_identity, hom_mat2d_translate_localhom_mat2d_translate_localHomMat2dTranslateLocalHomMat2dTranslateLocalHomMat2dTranslateLocalhom_mat2d_translate_local, hom_mat2d_scale_localhom_mat2d_scale_localHomMat2dScaleLocalHomMat2dScaleLocalHomMat2dScaleLocalhom_mat2d_scale_local, hom_mat2d_rotate_localhom_mat2d_rotate_localHomMat2dRotateLocalHomMat2dRotateLocalHomMat2dRotateLocalhom_mat2d_rotate_local, hom_mat2d_slant_localhom_mat2d_slant_localHomMat2dSlantLocalHomMat2dSlantLocalHomMat2dSlantLocalhom_mat2d_slant_local, hom_mat2d_reflect_localhom_mat2d_reflect_localHomMat2dReflectLocalHomMat2dReflectLocalHomMat2dReflectLocalhom_mat2d_reflect_local

可能的后继

hom_mat2d_translate_localhom_mat2d_translate_localHomMat2dTranslateLocalHomMat2dTranslateLocalHomMat2dTranslateLocalhom_mat2d_translate_local, hom_mat2d_scale_localhom_mat2d_scale_localHomMat2dScaleLocalHomMat2dScaleLocalHomMat2dScaleLocalhom_mat2d_scale_local, hom_mat2d_rotate_localhom_mat2d_rotate_localHomMat2dRotateLocalHomMat2dRotateLocalHomMat2dRotateLocalhom_mat2d_rotate_local, hom_mat2d_slant_localhom_mat2d_slant_localHomMat2dSlantLocalHomMat2dSlantLocalHomMat2dSlantLocalhom_mat2d_slant_local, hom_mat2d_reflect_localhom_mat2d_reflect_localHomMat2dReflectLocalHomMat2dReflectLocalHomMat2dReflectLocalhom_mat2d_reflect_local

另见

hom_mat2d_reflecthom_mat2d_reflectHomMat2dReflectHomMat2dReflectHomMat2dReflecthom_mat2d_reflect

模块

基础