﻿ConvexHull2d Class
Computes the 2d convex hull of a planar point set.

Namespace:  ceometric.ComputationalGeometry
Assembly:  ceometric.ComputationalGeometry (in ceometric.ComputationalGeometry.dll) Version: 2.4.0.0 (2.4.0.0)

# Syntax

C#
`public class ConvexHull2d`
Visual Basic (Declaration)
`Public Class ConvexHull2d`
Visual C++
`public ref class ConvexHull2d`

# Remarks

The convex hull of a set P of n points is a convex polytope whose vertices are points in P. This is, all points of a set of points lie within the convex hull or on its boundary. A 2d convex hull is the convex hull of the projection of the point set onto the XY-plane. This class computes the 2d convex hull of n points in O(n * log(n)) time. Exact arithmetic provides ultimate robustness. Collinear boundary edges are not merged.

# Examples

CopyC#
```// instantiate a 2d convex hull
ConvexHull2d hull2d = new ConvexHull2d();
// assign the points for which to find the hull
hull2d.InitialPoints = SamplePoints.RandomInRectangle(10000, 1, 1);
// compute the hull
hull2d.ComputeHull();
// output some interesting properties
Console.WriteLine("Number of vertices: " + hull2d.Vertices.Count);
Console.WriteLine("Area of hull      : " + hull2d.AreaXY);
// Visualize the hull
Scene sc = new Scene();
sc.Add(hull2d.InitialPoints, "Points", 1); // Add the initial points on a red layer "Points"
sc.Add(hull2d.Edges, "Hull", 2);           // Add the hull edges on a yellow layer "Hull"
sc.WriteDxf(@"c:\hull2d.dxf");```

# Inheritance Hierarchy

System..::.Object
ceometric.ComputationalGeometry..::.ConvexHull2d