Centroid

Overview

Centroid is the geometric center of a spatial feature, often used to represent the location of polygons or other complex shapes in GIS analysis. The centroid provides a single point that represents the average position of all points making up a shape.

Key Concepts

Geometric centroid is the mathematical center of mass of a shape (may fall outside the shape for concave polygons). Point on surface is a point guaranteed to be inside the polygon boundary. Representative point is a practical location within a feature for labeling or analysis. Weighted centroid incorporates attribute values to shift the center point.

Calculation

For a polygon with vertices:

  • X-centroid = average of all vertex X coordinates
  • Y-centroid = average of all vertex Y coordinates

Use Cases

  • Labeling polygon features on maps
  • Calculating distances between polygon features
  • Point-based analysis of area features
  • Spatial joins between polygons and points

Appendix

Created: 2025-12-13 | Modified: 2025-12-13

See Also