public double[] ParameterAt(double u, double v)
{
// u
int n = GetUCount() - 1;
// v
int m = GetVCount() - 1;
Point3d accumulation = new Point3d(0, 0, 0);
for (int i = 0; i <= n; i++)
{
for (int j = 0; j <= m; j++)
{
BasisInfo info1 = new BezierBasisInfo(n, i);
BasisInfo info2 = new BezierBasisInfo(m, j);
Func <double, double> basis1 = GetBasisFunction(info1);
Func <double, double> basis2 = GetBasisFunction(info2);
Point3d pt = this.pointsGrid[i][j];
accumulation += pt * basis1(u) * basis2(v);
}
}
return(new double[] { accumulation.X, accumulation.Y, accumulation.Z });
}
protected override Func <double, double> GetBasisFunction(BasisInfo _info)
{
BezierBasisInfo info = (BezierBasisInfo)_info;
int n = info.N;
int i = info.I;
Func <double, double> func = (t) => MathTool.GetBinomialCoefficient(n, i) * Math.Pow(t, i) * Math.Pow(1 - t, n - i);
return(func);
}
public double[] ParameterAt(double t)
{
int n = points.Length - 1;
Point3d result = new Point3d(0, 0, 0);
for (int i = 0; i <= n; i++)
{
Point3d pt = points[i];
BasisInfo info = new BezierBasisInfo(n, i);
Func <double, double> basis = this.GetBasisFunction(info);
double val = basis(t);
result += val * pt;
}
return(new double[] { result.X, result.Y, result.Z });
}
