Name
hom_mat2d_rotate_localT_hom_mat2d_rotate_localHomMat2dRotateLocalhom_mat2d_rotate_localHomMat2dRotateLocalHomMat2dRotateLocal — Add a rotation to a homogeneous 2D transformation matrix.
hom_mat2d_rotate_localhom_mat2d_rotate_localHomMat2dRotateLocalhom_mat2d_rotate_localHomMat2dRotateLocalHomMat2dRotateLocal adds a rotation by the angle PhiPhiPhiPhiPhiphi to
the homogeneous 2D transformation matrix HomMat2DHomMat2DHomMat2DHomMat2DHomMat2DhomMat2D and returns the
resulting matrix in HomMat2DRotateHomMat2DRotateHomMat2DRotateHomMat2DRotateHomMat2DRotatehomMat2DRotate. The rotation is described by a
2×2 rotation matrix R. In
contrast to hom_mat2d_rotatehom_mat2d_rotateHomMat2dRotatehom_mat2d_rotateHomMat2dRotateHomMat2dRotate, 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:
The fixed point of the transformation is the origin of the local
coordinate system, i.e., this point remains unchanged when
transformed using HomMat2DRotateHomMat2DRotateHomMat2DRotateHomMat2DRotateHomMat2DRotatehomMat2DRotate.
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.
PhiPhiPhiPhiPhiphi (input_control) angle.rad → HTupleHTupleHTupleVARIANTHtuple (real / integer) (double / int / long) (double / Hlong) (double / Hlong) (double / Hlong) (double / Hlong)
Rotation angle.
Default value: 0.78
Suggested values: 0.1, 0.2, 0.3, 0.4, 0.78, 1.57, 3.14
Typical range of values: 0
≤
Phi
Phi
Phi
Phi
Phi
phi
≤
6.28318530718
Output transformation matrix.
If the parameters are valid, the operator
hom_mat2d_rotate_localhom_mat2d_rotate_localHomMat2dRotateLocalhom_mat2d_rotate_localHomMat2dRotateLocalHomMat2dRotateLocal returns
2 (H_MSG_TRUE). If necessary, an exception is raised.
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
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
hom_mat2d_rotatehom_mat2d_rotateHomMat2dRotatehom_mat2d_rotateHomMat2dRotateHomMat2dRotate
Foundation