symm_difference_closed_contours_xld — Compute the symmetric difference of closed contours.
symm_difference_closed_contours_xld calculates the
symmetric difference of the regions enclosed by the contours
Contours2. The boundaries of this symmetric
difference are returned in
If the individual input contours are not closed, they are closed automatically by connecting their start and end points.
Internally, first, the regions enclosed by each set of contours
Contours2, respectively) are determined as
described below. Then, the symmetric difference of these two regions is
In the following, the two sets of input contours are referred to as
boundary sets. A boundary set consists of an arbitrary number of
boundaries (the individual contours of
Contours2, respectively). Each boundary may be convex or concave and
self-intersecting. Internal holes may be formed by the nesting of boundaries.
The region enclosed by such a boundary set is defined by the so-called Even-Odd-Rule. Thus, it consists of all points with the following property: The line constructed by connecting the point with another reference point that lies outside of the region has an odd number of intersections with boundaries.
More descriptive, this means that a boundary defines a hole in the region enclosed by another boundary if it lies completely inside that region. Similarly, the overlapping area of two separate boundaries of one boundary set is taken as a "hole", i.e., it does not belong to the region enclosed by the two boundaries. Note that the region enclosed by a boundary does not depend on the orientation of the boundary.
A self-intersecting boundary may be split at the intersection point or it is reordered such that it touches itself at the intersection point. The resulting boundaries are treated as separate boundaries.
The resulting boundaries
ContoursDifference are automatically
classified into boundaries that enclose regions and boundaries that enclose
holes. This information is stored in the global contour attribute
For further information about global contour attributes see
Note that subsequent points whose row and column coordinates differ by less than 1e-06 pixels are considered as one point.
Contours enclosing the first region.
Contours enclosing the second region.
Contours enclosing the symmetric difference.
symm_difference_closed_contours_xld returns TRUE if all parameters
are correct. If necessary, an exception is raised.