Check that each polygon centroid is within a distance tolerance to a LineString. An example use case for such a rule could be for a routing network that defines the snap tolerance in meters from a room centroid to the nearest routing networkline. This line must be located within a certain distance; otherwise, no route can be generated, for example. The following screenshot shows the use of some dummy polygons and LineStrings, indicating the centroids that fall within our set tolerance of 20000 m in red. These are polygons that are spread far apart from Venice to Vienna:
Note
If you're up for some algorithm reading material, this is a nice read by Paul Bourke at http://paulbourke.net/geometry/pointlineplane/.