affine_trans_polygon_xldT_affine_trans_polygon_xldAffineTransPolygonXldAffineTransPolygonXldaffine_trans_polygon_xld (Operator)

Name

affine_trans_polygon_xldT_affine_trans_polygon_xldAffineTransPolygonXldAffineTransPolygonXldaffine_trans_polygon_xld — Apply an arbitrary affine transformation to XLD polygons.

Signature

Description

affine_trans_polygon_xldaffine_trans_polygon_xldAffineTransPolygonXldAffineTransPolygonXldAffineTransPolygonXldaffine_trans_polygon_xld applies an arbitrary affine transformation, i.e., scaling, rotation, translation, and slant (skewing), to the XLD polygons given in PolygonsPolygonsPolygonsPolygonspolygonspolygons and returns the transformed polygons in PolygonsAffineTransPolygonsAffineTransPolygonsAffineTransPolygonsAffineTranspolygonsAffineTranspolygons_affine_trans. The affine transformation is described by the homogeneous transformation matrix given in HomMat2DHomMat2DHomMat2DHomMat2DhomMat2Dhom_mat_2d. This matrix can be created using the operators hom_mat2d_identityhom_mat2d_identityHomMat2dIdentityHomMat2dIdentityHomMat2dIdentityhom_mat2d_identity, hom_mat2d_scalehom_mat2d_scaleHomMat2dScaleHomMat2dScaleHomMat2dScalehom_mat2d_scale, hom_mat2d_rotatehom_mat2d_rotateHomMat2dRotateHomMat2dRotateHomMat2dRotatehom_mat2d_rotate, hom_mat2d_translatehom_mat2d_translateHomMat2dTranslateHomMat2dTranslateHomMat2dTranslatehom_mat2d_translate, etc., or be the result of operators like vector_angle_to_rigidvector_angle_to_rigidVectorAngleToRigidVectorAngleToRigidVectorAngleToRigidvector_angle_to_rigid.

The components of the homogeneous transformation matrix are interpreted as follows: The row coordinate of the image corresponds to x and the column coordinate corresponds to y of the coordinate system in which the transformation matrix was defined. 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.

Attention

The XLD contours that are possibly referenced by PolygonsPolygonsPolygonsPolygonspolygonspolygons are neither transformed nor stored with the output polygons, since this is generally impossible without creating inconsistencies for the attributes of the XLD contours. Hence, operators that access the contours associated with a polygon, e.g., split_contours_xldsplit_contours_xldSplitContoursXldSplitContoursXldSplitContoursXldsplit_contours_xld will not work correctly.

affine_trans_polygon_xldaffine_trans_polygon_xldAffineTransPolygonXldAffineTransPolygonXldAffineTransPolygonXldaffine_trans_polygon_xld does not use the HALCON standard coordinate system (with the origin in the center of the upper left pixel), but instead uses the same coordinate system as in affine_trans_pixelaffine_trans_pixelAffineTransPixelAffineTransPixelAffineTransPixelaffine_trans_pixel, i.e., the origin lies in the upper left corner of the upper left pixel. Therefore, applying affine_trans_polygon_xldaffine_trans_polygon_xldAffineTransPolygonXldAffineTransPolygonXldAffineTransPolygonXldaffine_trans_polygon_xld corresponds to a chain of transformations (see affine_trans_pixelaffine_trans_pixelAffineTransPixelAffineTransPixelAffineTransPixelaffine_trans_pixel), which is applied to each point of the polygon (input and output pixels as homogeneous vectors). As an effect, you might get unexpected results when creating affine transformations based on coordinates that are derived from the polygon, e.g., by operators like area_center_xldarea_center_xldAreaCenterXldAreaCenterXldAreaCenterXldarea_center_xld. For example, if you use this operator to calculate the center of gravity of a rotationally symmetric XLD polygon and then rotate the polygon around this point using hom_mat2d_rotatehom_mat2d_rotateHomMat2dRotateHomMat2dRotateHomMat2dRotatehom_mat2d_rotate, the resulting polygon will not lie on the original one. In such a case, you can compensate this effect by applying the following translations to HomMat2DHomMat2DHomMat2DHomMat2DhomMat2Dhom_mat_2d before using it in affine_trans_polygon_xldaffine_trans_polygon_xldAffineTransPolygonXldAffineTransPolygonXldAffineTransPolygonXldaffine_trans_polygon_xld:

hom_mat2d_translate(HomMat2D, 0.5, 0.5, HomMat2DTmp) hom_mat2d_translate_local(HomMat2DTmp, -0.5, -0.5, HomMat2DAdapted) affine_trans_polygon_xld(Polygons, PolygonsAffineTrans, HomMat2DAdapted)

For an explanation of the different 2D coordinate systems used in HALCON, see the introduction of chapter Transformations / 2D Transformations.

Execution Information

• Multithreading type: reentrant (runs in parallel with non-exclusive operators).
• Multithreading scope: global (may be called from any thread).
• Automatically parallelized on tuple level.

Parameters

Result

If the matrix HomMat2DHomMat2DHomMat2DHomMat2DhomMat2Dhom_mat_2d represents an affine transformation (i.e., not a projective transformation), affine_trans_polygon_xldaffine_trans_polygon_xldAffineTransPolygonXldAffineTransPolygonXldAffineTransPolygonXldaffine_trans_polygon_xld returns TRUE. If the input is empty the behavior can be set via set_system(::'no_object_result',<Result>:)set_system("no_object_result",<Result>)SetSystem("no_object_result",<Result>)SetSystem("no_object_result",<Result>)SetSystem("no_object_result",<Result>)set_system("no_object_result",<Result>). If necessary, an exception is raised.

Possible Predecessors

hom_mat2d_identityhom_mat2d_identityHomMat2dIdentityHomMat2dIdentityHomMat2dIdentityhom_mat2d_identity, hom_mat2d_translatehom_mat2d_translateHomMat2dTranslateHomMat2dTranslateHomMat2dTranslatehom_mat2d_translate, hom_mat2d_rotatehom_mat2d_rotateHomMat2dRotateHomMat2dRotateHomMat2dRotatehom_mat2d_rotate, hom_mat2d_scalehom_mat2d_scaleHomMat2dScaleHomMat2dScaleHomMat2dScalehom_mat2d_scale, hom_mat2d_reflecthom_mat2d_reflectHomMat2dReflectHomMat2dReflectHomMat2dReflecthom_mat2d_reflect

See also

affine_trans_imageaffine_trans_imageAffineTransImageAffineTransImageAffineTransImageaffine_trans_image, affine_trans_regionaffine_trans_regionAffineTransRegionAffineTransRegionAffineTransRegionaffine_trans_region, affine_trans_contour_xldaffine_trans_contour_xldAffineTransContourXldAffineTransContourXldAffineTransContourXldaffine_trans_contour_xld

Module

Foundation