java.lang.Object
org.apache.commons.math3.geometry.euclidean.twod.hull.AbstractConvexHullGenerator2D
org.apache.commons.math3.geometry.euclidean.twod.hull.MonotoneChain
All Implemented Interfaces:
ConvexHullGenerator2D, ConvexHullGenerator<Euclidean2D,Vector2D>

public class MonotoneChain extends AbstractConvexHullGenerator2D
Implements Andrew's monotone chain method to generate the convex hull of a finite set of points in the two-dimensional euclidean space.

The runtime complexity is O(n log n), with n being the number of input points. If the point set is already sorted (by x-coordinate), the runtime complexity is O(n).

The implementation is not sensitive to collinear points on the hull. The parameter includeCollinearPoints allows to control the behavior with regard to collinear points. If true, all points on the boundary of the hull will be added to the hull vertices, otherwise only the extreme points will be present. By default, collinear points are not added as hull vertices.

The tolerance parameter (default: 1e-10) is used as epsilon criteria to determine identical and collinear points.

Since:
3.3
See Also:
  • Constructor Details

    • MonotoneChain

      public MonotoneChain()
      Create a new MonotoneChain instance.
    • MonotoneChain

      public MonotoneChain(boolean includeCollinearPoints)
      Create a new MonotoneChain instance.
      Parameters:
      includeCollinearPoints - whether collinear points shall be added as hull vertices
    • MonotoneChain

      public MonotoneChain(boolean includeCollinearPoints, double tolerance)
      Create a new MonotoneChain instance.
      Parameters:
      includeCollinearPoints - whether collinear points shall be added as hull vertices
      tolerance - tolerance below which points are considered identical
  • Method Details

    • findHullVertices

      public Collection<Vector2D> findHullVertices(Collection<Vector2D> points)
      Find the convex hull vertices from the set of input points.
      Specified by:
      findHullVertices in class AbstractConvexHullGenerator2D
      Parameters:
      points - the set of input points
      Returns:
      the convex hull vertices in CCW winding
    • updateHull

      private void updateHull(Vector2D point, List<Vector2D> hull)
      Update the partial hull with the current point.
      Parameters:
      point - the current point
      hull - the partial hull