public Krige(DenseMatrix xx, DenseMatrix yy, Powvargram vg)
{
// Initializer
x = xx;
vgram = vg;
n = xx.RowCount;
d = xx.ColumnCount;
dstar = new DenseMatrix(n + 1, 1);
vstar = new DenseMatrix(n + 1, 1);
v = new DenseMatrix(n + 1, n + 1);
y = new DenseMatrix(n + 1, n);
// Building matrix V,Y
for (int i = 0; i < n; i++)
{
y[i, 0] = yy[i, 0];
for (int j = i; j < n; j++)
{
double vvv = vgram.GetV((x.Row(i) - x.Row(j)).Norm(2));
v[i, j] = vvv;
v[j, i] = vvv;
}
v[i, n] = 1.0;
v[n, i] = 1.0;
}
v[n, n] = 0.0;
y[n, 0] = 0.0;
vi = v.Inverse();
yvi = vi.Transpose() * y;
}
protected override void SolveInstance(IGH_DataAccess DA)
{
// INPUT
List<Point3d> pt0 = new List<Point3d>();
List<Point3d> pt1 = new List<Point3d>();
double beta = 0;
DA.GetDataList(0, pt0);
DA.GetDataList(1, pt1);
DA.GetData(2, ref beta);
if (pt0 == null) return;
if (pt0.Count < 3) return;
if (pt1 == null) return;
if (pt1.Count < 1) return;
List<Point3d> interpPts = new List<Point3d>();
var x = new DenseMatrix(pt0.Count, 2);
var y = new DenseMatrix(pt0.Count, 1);
for (int i = 0; i < pt0.Count; i++)
{
x[i, 0] = pt0[i].X;
x[i, 1] = pt0[i].Y;
y[i, 0] = pt0[i].Z;
}
var vgram = new Powvargram(x, y, beta);
var krige = new Krige(x, y, vgram);
foreach (Point3d pt in pt1)
{
DenseVector xstar = new DenseVector(new double[] { pt.X, pt.Y });
interpPts.Add(new Point3d(pt.X, pt.Y, krige.interp(xstar)));
}
// OUTPUT
DA.SetDataList(0, interpPts);
}
