hom_mat2d_translateT_hom_mat2d_translatehom_mat2d_translateHomMat2dTranslateHomMat2dTranslate (Operator)

Name

hom_mat2d_translateT_hom_mat2d_translatehom_mat2d_translateHomMat2dTranslateHomMat2dTranslate — Add a translation to a homogeneous 2D transformation matrix.

Signature

hom_mat2d_translate( : : HomMat2D, Tx, Ty : HomMat2DTranslate)

hom_mat2d_translatehom_mat2d_translatehom_mat2d_translateHomMat2dTranslateHomMat2dTranslate adds a translation by the vector t = (TxTxTxTxtx,TyTyTyTyty) to the homogeneous 2D transformation matrix HomMat2DHomMat2DHomMat2DHomMat2DhomMat2D and returns the resulting matrix in HomMat2DTranslateHomMat2DTranslateHomMat2DTranslateHomMat2DTranslatehomMat2DTranslate. The translation is performed relative to the global (i.e., fixed) coordinate system; this corresponds to the following chain of transformation matrices:

                        / 1 0 Tx \
  HomMat2DTranslate  =  | 0 1 Ty | * HomMat2D
                        \ 0 0 1  /

To perform the transformation in the local coordinate system, i.e., the one described by HomMat2DHomMat2DHomMat2DHomMat2DhomMat2D, use hom_mat2d_translate_localhom_mat2d_translate_localhom_mat2d_translate_localHomMat2dTranslateLocalHomMat2dTranslateLocal.

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 (RowRowRowRowrow,ColumnColumnColumnColumncolumn). 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 3x3 matrices, which represent a projective 2D transformation.

Parallelization

Multithreading type: reentrant (runs in parallel with non-exclusive operators).
Multithreading scope: global (may be called from any thread).
Processed without parallelization.

Parameters

HomMat2DHomMat2DHomMat2DHomMat2DhomMat2D (input_control) hom_mat2d-array → (real)

Input transformation matrix.

TxTxTxTxtx (input_control) point.x → (real / integer)

Translation along the x-axis.

Default value: 64

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

TyTyTyTyty (input_control) point.y → (real / integer)

Translation along the y-axis.

Default value: 64

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

HomMat2DTranslateHomMat2DTranslateHomMat2DTranslateHomMat2DTranslatehomMat2DTranslate (output_control) hom_mat2d-array → (real)

Output transformation matrix.

Result

If the parameters are valid, the operator hom_mat2d_translatehom_mat2d_translatehom_mat2d_translateHomMat2dTranslateHomMat2dTranslate returns 2 (H_MSG_TRUE). If necessary, an exception is raised.