/// <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;
}
public MainWindow()
{
InitializeComponent();
MaterialGroup material = new MaterialGroup();
material.Children.Add(ShapeGenerator.GetSimpleMaterial(Colors.LightGreen));
// Create Bezier patch.
Vector3D[,] controlPoints = new Vector3D[, ]
{
{ new Vector3D(0, 0, 0), new Vector3D(10, 0, 0), new Vector3D(20, 0, 0), new Vector3D(30, 0, 0) },
{ new Vector3D(0, 0, 10), new Vector3D(10, 0, 10), new Vector3D(20, 0, 10), new Vector3D(30, 0, 10) },
{ new Vector3D(0, 0, 20), new Vector3D(10, 0, 20), new Vector3D(20, 0, 20), new Vector3D(30, 0, 20) },
{ new Vector3D(0, 0, 30), new Vector3D(10, 0, 30), new Vector3D(20, 0, 30), new Vector3D(30, 0, 30) },
};
// Add the control points to the model.
for (int i = 0; i < 4; ++i)
{
for (int j = 0; j < 4; ++j)
{
Transform3DGroup transformGroup = new Transform3DGroup();
ModelVisual3D sphere = ShapeGenerator.GenerateUnitSphere(30, 30, material);
transformGroup.Children.Add(new ScaleTransform3D(0.2, 0.2, 0.2));
transformGroup.Children.Add(new TranslateTransform3D(controlPoints[i, j].X, controlPoints[i, j].Y, controlPoints[i, j].Z));
sphere.Transform = transformGroup;
mainViewport.Children.Add(sphere);
}
}
BezierPatch patch = new BezierPatch(controlPoints);
mainViewport.Children.Add(patch.Model);
// Create Bezier patch.
Vector3D[,] controlPoints1 = new Vector3D[, ]
{
{ new Vector3D(0, 0, 30), new Vector3D(10, 0, 30), new Vector3D(20, 0, 30), new Vector3D(30, 0, 30) },
{ new Vector3D(0, 0, 40), new Vector3D(10, 0, 40), new Vector3D(20, 0, 40), new Vector3D(30, 0, 40) },
{ new Vector3D(0, 0, 50), new Vector3D(10, 0, 50), new Vector3D(20, 0, 50), new Vector3D(30, 0, 50) },
{ new Vector3D(0, 0, 60), new Vector3D(10, 0, 60), new Vector3D(20, 0, 60), new Vector3D(30, 0, 60) },
};
// Add the control points to the model.
for (int i = 0; i < 4; ++i)
{
for (int j = 0; j < 4; ++j)
{
Transform3DGroup transformGroup = new Transform3DGroup();
ModelVisual3D sphere = ShapeGenerator.GenerateUnitSphere(30, 30, material);
transformGroup.Children.Add(new ScaleTransform3D(0.2, 0.2, 0.2));
transformGroup.Children.Add(new TranslateTransform3D(controlPoints1[i, j].X, controlPoints1[i, j].Y, controlPoints1[i, j].Z));
sphere.Transform = transformGroup;
mainViewport.Children.Add(sphere);
}
}
BezierPatch patch1 = new BezierPatch(controlPoints1);
mainViewport.Children.Add(patch1.Model);
// Create ground.
ModelVisual3D ground = ShapeGenerator.CreatePlane(50, ShapeGenerator.GetSimpleMaterial(Colors.LightGray));
ground.Transform = new TranslateTransform3D(0, -50, 0);
mainViewport.Children.Add(ground);
// Defines the camera used to view the 3D object. In order to view the 3D object,
// the camera must be positioned and pointed such that the object is within view
// of the camera.
PerspectiveCamera myPCamera = new PerspectiveCamera();
// Define camera's horizontal field of view in degrees.
myPCamera.FieldOfView = 60;
// Asign the camera to the viewport
mainViewport.Camera = myPCamera;
MouseDown += MouseDownHandler;
MouseMove += MouseMoveEventHandler;
MouseWheel += MouseWheelHandler;
UpdateCameraVectors();
}
