transpose_regiontranspose_regionTransposeRegionTransposeRegionTransposeRegiontranspose_region reflects a region about a point. The fixed
point is given by ColumnColumnColumnColumncolumncolumn and RowRowRowRowrowrow. The image
P' of a point P is determined by the following requirement:
If P = S, then P' = S, i.e., the point S is the fixed point of
the mapping. If , S is the center point of
a line segment connecting P and P'. Therefore, the following
equations result:
If RowRowRowRowrowrow and ColumnColumnColumnColumncolumncolumn are set to the origin, the
in morphology often used transposition results. Hence
transpose_regiontranspose_regionTransposeRegionTransposeRegionTransposeRegiontranspose_region is often used to reflect (transpose) a
structuring element.