Geometry
s.See: Description
Class | Description |
---|---|
EdgeEndBuilder | |
EdgeEndBundle |
A collection of
EdgeEnd s which obey the following invariant:
They originate at the same node and have the same direction. |
EdgeEndBundleStar |
An ordered list of
EdgeEndBundle s around a RelateNode . |
RelateComputer |
Computes the topological relationship between two Geometries.
|
RelateNode |
Represents a node in the topological graph used to compute spatial relationships.
|
RelateNodeFactory | |
RelateNodeGraph |
Implements the simple graph of Nodes and EdgeEnd which is all that is
required to determine topological relationships between Geometries.
|
RelateOp |
Implements the SFS relate() generalized spatial predicate on two
Geometry s. |
Geometry
s.
The relate
algorithm computes the IntersectionMatrix
describing the
relationship of two Geometry
s. The algorithm for computing relate
uses the intersection operations supported by topology graphs. Although the relate
result depends on the resultant graph formed by the computed intersections, there is
no need to explicitly compute the entire graph.
It is sufficient to compute the local structure of the graph
at each intersection node.
The algorithm to compute relate
has the following steps:
IntersectionMatrix
from the labels on the nodes and edges.
Geometry
which
do not contain any intersections with the other input Geometry
. The
topological relationship of these components to the other input Geometry
must be computed in order to determine the complete labeling of the component. This can
be done by testing whether the component lies in the interior or exterior of the other
Geometry
. If the other Geometry
is 1-dimensional, the isolated
component must lie in the exterior (since otherwise it would have an intersection with an
edge of the Geometry
). If the other Geometry
is 2-dimensional,
a Point-In-Polygon test can be used to determine whether the isolated component is in the
interior or exterior.
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