gis:centroid-of

gis:centroid-of VectorFeature

Reports a single Vertex representing the centroid (center of gravity) of the given feature. For point datasets, the centroid is defined as the average location of all points in the feature. For line datasets, the centroid is defined as the average of the locations of the midpoints of all line segments in the feature, weighted by segment length. For polygon datasets, the centroid is defined as the weighted sum of the centroids of a decomposition of the area into (possibly overlapping) triangles. See this FAQ for more details on the polygon centroid algorithm.