/// <summary>
/// Calculate the tributary area of each vertex in this mesh,
/// calculated by summing an even distribution of the area of
/// each face to which each vertex belongs.
/// Returns an array of area values, one for each vertex in this
/// mesh, in order.
/// </summary>
/// <returns></returns>
public double[] VertexTributaryAreas()
{
double[] result = new double[Vertices.Count];
Vertices.AssignVertexIndices(0);
foreach (MeshFace face in Faces)
{
double area = face.CalculateArea() / face.Count;
foreach (Vertex v in face)
{
if (v.Number >= 0 && v.Number < result.Length)
{
result[v.Number] += area;
}
}
}
return(result);
}
