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Intersection property

The intersection property means that tested feature lies inside an inner region of an argument feature only partially but not completely. This property cannot be satisfied together with the inclusion property. Besides, features are not considered as intersecting if the argument feature lies completely within the tested feature.

In other words, two area (or image, or text) features are considered as intersecting if they have some common part of its areas but each of the features also has regions not coinciding with the other feature.

The Note

It should be noted that such interpretation of intersection does not fully agree with usual interpretation of this term in mathematics (where inclusion is considered to be a special case of intersection), and with the property Intersection Area described above which has a non-zero value in the case of feature inclusion too.

On the figure 35-11 the number of intersection of tested feature T with argument features equals 2 (there are intersections with A1 and A2, no intersections with A3 and A4).

Figure 35-11. Intersection property for area features

Figure 35-11. Intersection property for area features

Two line features are considered to be intersecting if they have at least one common point, i.e. their polylines intersect each other in common sense of the word or they coincide fully or partially, at least in some segment.

A point feature is considered to be intersecting with a line one if its base point lies on the polyline of the line feature.

Two point features are considered to be intersecting if their base points coincide.

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