affine_trans_point_2d T_affine_trans_point_2d AffineTransPoint2d AffineTransPoint2d affine_trans_point_2d (Operator)
Name
affine_trans_point_2d T_affine_trans_point_2d AffineTransPoint2d AffineTransPoint2d affine_trans_point_2d
— Apply an arbitrary affine 2D transformation to points.
Signature
Herror T_affine_trans_point_2d (const Htuple HomMat2D , const Htuple Px , const Htuple Py , Htuple* Qx , Htuple* Qy )
void AffineTransPoint2d (const HTuple& HomMat2D , const HTuple& Px , const HTuple& Py , HTuple* Qx , HTuple* Qy )
HTuple HHomMat2D ::AffineTransPoint2d (const HTuple& Px , const HTuple& Py , HTuple* Qy ) const
double HHomMat2D ::AffineTransPoint2d (double Px , double Py , double* Qy ) const
def affine_trans_point_2d (hom_mat_2d : Sequence[float], px : MaybeSequence[Union[float, int]], py : MaybeSequence[Union[float, int]]) -> Tuple[Sequence[float], Sequence[float]]
def affine_trans_point_2d_s (hom_mat_2d : Sequence[float], px : MaybeSequence[Union[float, int]], py : MaybeSequence[Union[float, int]]) -> Tuple[float, float]
Description
affine_trans_point_2d affine_trans_point_2d AffineTransPoint2d AffineTransPoint2d AffineTransPoint2d affine_trans_point_2d
applies an arbitrary affine 2D transformation,
i.e., scaling, rotation, translation, and slant (skewing), to the input
points (Px Px Px Px px px
,Py Py Py Py py py
) and returns the resulting points in
(Qx Qx Qx Qx qx qx
,Qy Qy Qy Qy qy qy
). The affine transformation is described by the
homogeneous transformation matrix given in HomMat2D HomMat2D HomMat2D HomMat2D homMat2D hom_mat_2d
. This
corresponds to the following equation (input and output points as
homogeneous vectors):
If the points to transform are specified in standard image coordinates, their
row coordinates must be passed in Px Px Px Px px px
and their column
coordinates in Py Py Py Py py py
. This is necessary to obtain a right-handed
coordinate system for the image. In particular, this assures that rotations
are performed in the correct direction. Note that the (x,y) order of the
matrices quite naturally corresponds to the usual (row,column) order for
coordinates in the image.
The transformation matrix can be created using the operators
hom_mat2d_identity hom_mat2d_identity HomMat2dIdentity HomMat2dIdentity HomMat2dIdentity hom_mat2d_identity
, hom_mat2d_rotate hom_mat2d_rotate HomMat2dRotate HomMat2dRotate HomMat2dRotate hom_mat2d_rotate
,
hom_mat2d_translate hom_mat2d_translate HomMat2dTranslate HomMat2dTranslate HomMat2dTranslate hom_mat2d_translate
, etc., or can be the result of operators like
vector_angle_to_rigid vector_angle_to_rigid VectorAngleToRigid VectorAngleToRigid VectorAngleToRigid vector_angle_to_rigid
.
For example, if HomMat2D HomMat2D HomMat2D HomMat2D homMat2D hom_mat_2d
corresponds to a rigid transformation,
i.e., if it consists of a rotation and a translation, the
points are transformed as follows:
Execution Information
Multithreading type: reentrant (runs in parallel with non-exclusive operators).
Multithreading scope: global (may be called from any thread).
Automatically parallelized on internal data level.
Parameters
HomMat2D HomMat2D HomMat2D HomMat2D homMat2D hom_mat_2d
(input_control) hom_mat2d →
HHomMat2D , HTuple Sequence[float] HTuple Htuple (real) (double ) (double ) (double )
Input transformation matrix.
Px Px Px Px px px
(input_control) point.x(-array) →
HTuple MaybeSequence[Union[float, int]] HTuple Htuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)
Input point(s) (x or row coordinate).
Default value: 64
Suggested values: 0, 16, 32, 64, 128, 256, 512, 1024
Py Py Py Py py py
(input_control) point.y(-array) →
HTuple MaybeSequence[Union[float, int]] HTuple Htuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong)
Input point(s) (y or column coordinate).
Default value: 64
Suggested values: 0, 16, 32, 64, 128, 256, 512, 1024
Qx Qx Qx Qx qx qx
(output_control) point.x(-array) →
HTuple Sequence[float] HTuple Htuple (real) (double ) (double ) (double )
Output point(s) (x or row coordinate).
Qy Qy Qy Qy qy qy
(output_control) point.y(-array) →
HTuple Sequence[float] HTuple Htuple (real) (double ) (double ) (double )
Output point(s) (y or column coordinate).
Result
If the matrix HomMat2D HomMat2D HomMat2D HomMat2D homMat2D hom_mat_2d
represents an affine transformation
(i.e., not a projective transformation),
affine_trans_point_2d affine_trans_point_2d AffineTransPoint2d AffineTransPoint2d AffineTransPoint2d affine_trans_point_2d
returns TRUE. Otherwise, an exception
is raised.
Possible Predecessors
hom_mat2d_translate hom_mat2d_translate HomMat2dTranslate HomMat2dTranslate HomMat2dTranslate hom_mat2d_translate
,
hom_mat2d_translate_local hom_mat2d_translate_local HomMat2dTranslateLocal HomMat2dTranslateLocal HomMat2dTranslateLocal hom_mat2d_translate_local
,
hom_mat2d_scale hom_mat2d_scale HomMat2dScale HomMat2dScale HomMat2dScale hom_mat2d_scale
,
hom_mat2d_scale_local hom_mat2d_scale_local HomMat2dScaleLocal HomMat2dScaleLocal HomMat2dScaleLocal hom_mat2d_scale_local
,
hom_mat2d_rotate hom_mat2d_rotate HomMat2dRotate HomMat2dRotate HomMat2dRotate hom_mat2d_rotate
,
hom_mat2d_rotate_local hom_mat2d_rotate_local HomMat2dRotateLocal HomMat2dRotateLocal HomMat2dRotateLocal hom_mat2d_rotate_local
,
hom_mat2d_slant hom_mat2d_slant HomMat2dSlant HomMat2dSlant HomMat2dSlant hom_mat2d_slant
,
hom_mat2d_slant_local hom_mat2d_slant_local HomMat2dSlantLocal HomMat2dSlantLocal HomMat2dSlantLocal hom_mat2d_slant_local
,
hom_mat2d_reflect hom_mat2d_reflect HomMat2dReflect HomMat2dReflect HomMat2dReflect hom_mat2d_reflect
,
hom_mat2d_reflect_local hom_mat2d_reflect_local HomMat2dReflectLocal HomMat2dReflectLocal HomMat2dReflectLocal hom_mat2d_reflect_local
Possible Successors
hom_mat2d_translate hom_mat2d_translate HomMat2dTranslate HomMat2dTranslate HomMat2dTranslate hom_mat2d_translate
,
hom_mat2d_translate_local hom_mat2d_translate_local HomMat2dTranslateLocal HomMat2dTranslateLocal HomMat2dTranslateLocal hom_mat2d_translate_local
,
hom_mat2d_scale hom_mat2d_scale HomMat2dScale HomMat2dScale HomMat2dScale hom_mat2d_scale
,
hom_mat2d_scale_local hom_mat2d_scale_local HomMat2dScaleLocal HomMat2dScaleLocal HomMat2dScaleLocal hom_mat2d_scale_local
,
hom_mat2d_rotate hom_mat2d_rotate HomMat2dRotate HomMat2dRotate HomMat2dRotate hom_mat2d_rotate
,
hom_mat2d_rotate_local hom_mat2d_rotate_local HomMat2dRotateLocal HomMat2dRotateLocal HomMat2dRotateLocal hom_mat2d_rotate_local
,
hom_mat2d_slant hom_mat2d_slant HomMat2dSlant HomMat2dSlant HomMat2dSlant hom_mat2d_slant
,
hom_mat2d_slant_local hom_mat2d_slant_local HomMat2dSlantLocal HomMat2dSlantLocal HomMat2dSlantLocal hom_mat2d_slant_local
,
hom_mat2d_reflect hom_mat2d_reflect HomMat2dReflect HomMat2dReflect HomMat2dReflect hom_mat2d_reflect
,
hom_mat2d_reflect_local hom_mat2d_reflect_local HomMat2dReflectLocal HomMat2dReflectLocal HomMat2dReflectLocal hom_mat2d_reflect_local
Module
Foundation