public static ModelVisual3D CreatePlane(double size, Material material)
{
ModelVisual3D plane = new ModelVisual3D();
plane.Content = ShapeGenerator.CreateQuad(new Point3D(size, 0, -size),
new Point3D(-size, 0, -size),
new Point3D(-size, 0, size),
new Point3D(size, 0, size),
material);
return(plane);
}
/// <summary>
/// Initialize a new instance of the <see cref="BezierPatch"/> class.
/// </summary>
/// <param name="controlPoints">A 4x4 array containing the control points.</param>
public BezierPatch(Vector3D[,] controlPoints)
{
double[,] bezierMat = new double[4, 4];
double step = 0.01;
int size = 100;
Point3D[,] latticeVerts = new Point3D[size + 1, size + 1];
double u = 0;
double v = 0;
for (int width = 0; width <= size; ++width)
{
v = 0;
for (int height = 0; height <= size; ++height)
{
// Calculate our matrix given our interpolation.
bezierMat[0, 0] = B0(u) * B0(v);
bezierMat[0, 1] = B0(u) * B1(v);
bezierMat[0, 2] = B0(u) * B2(v);
bezierMat[0, 3] = B0(u) * B3(v);
bezierMat[1, 0] = B1(u) * B0(v);
bezierMat[1, 1] = B1(u) * B1(v);
bezierMat[1, 2] = B1(u) * B2(v);
bezierMat[1, 3] = B1(u) * B3(v);
bezierMat[2, 0] = B2(u) * B0(v);
bezierMat[2, 1] = B2(u) * B1(v);
bezierMat[2, 2] = B2(u) * B2(v);
bezierMat[2, 3] = B2(u) * B3(v);
bezierMat[3, 0] = B3(u) * B0(v);
bezierMat[3, 1] = B3(u) * B1(v);
bezierMat[3, 2] = B3(u) * B2(v);
bezierMat[3, 3] = B3(u) * B3(v);
Point3D result = new Point3D();
// Generate the resulting point used in the final mesh.
for (int i = 0; i < 4; ++i)
{
for (int j = 0; j < 4; ++j)
{
result += bezierMat[i, j] * controlPoints[i, j];
}
}
latticeVerts[width, height] = result;
v += step;
}
u += step;
}
// Generate the actual mesh from the lattice structure.
Model3DGroup bezierPatch = new Model3DGroup();
Material material = ShapeGenerator.GetSimpleMaterial(Color.FromArgb(255, 255, 0, 0));
for (int col = 0; col < size; ++col)
{
for (int row = 0; row < size; ++row)
{
Model3DGroup quad = ShapeGenerator.CreateQuad(
latticeVerts[row, col],
latticeVerts[row + 1, col],
latticeVerts[row + 1, col + 1],
latticeVerts[row, col + 1],
material);
bezierPatch.Children.Add(quad);
}
}
Model = new ModelVisual3D();
Model.Content = bezierPatch;
}