For lines, polygons, or three-dimensional features, it is the center of mass (center of gravity) and may fall inside or outside the feature. The center of gravity calculation uses the geometric center model to output the new point feature class. The tool calculates the centroid of multipoint, line, or polygon input using a center of gravity-based algorithm. The algorithms for the specific calculation are proprietary, but there are two basic concepts used. The Feature To Point tool is used to create a new feature class containing points generated from the representative locations of input features. The Feature To Point tool is only available at the Advanced Desktop or ArcInfo, license level. For multipoint, polyline, or polygon feature classes with multiple parts, the centroid is computed using the weighted mean center of all feature parts. For line, polygon, or three-dimensional features, it is the center of mass (or center of gravity) and may fall inside the feature or outside the feature. This method uses the center of gravity of the polygon the geometric center of a feature.
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