public static Mesh ZFunction(Func <double, double, double> z, UvSampler vertices)
{
SurfaceParametricEquation surface = new SurfaceParametricEquation(
(u, v) => u,
(u, v) => v,
(u, v) => z(u, v)
);
return(Parametric(surface, vertices));
}
public static Mesh Sphere(double radius)
{
SurfaceParametricEquation surface = new SurfaceParametricEquation(
(u, v) => radius * Math.Cos(v) * Math.Cos(u),
(u, v) => radius * Math.Cos(v) * Math.Sin(u),
(u, v) => radius * Math.Sin(v)
);
UvSampler vertices = new UvSampler(new Interval(0, 2 * Math.PI), new Interval(-0.5 * Math.PI, 0.5 * Math.PI), 25, 31);
return(Parametric(surface, vertices, true, true));
}
public Point3D[,] EvaluateSurface(SurfaceParametricEquation surface)
{
var samples = GetSamples();
Point3D[,] points = new Point3D[UCount, VCount];
for (int i = 0; i < UCount; i++)
{
for (int j = 0; j < VCount; j++)
{
var sample = samples[i, j];
double u = sample.X;
double v = sample.Y;
points[i, j] = surface.Evaluate(u, v);
}
}
return(points);
}
public Vector[,] EvaluateSurface(SurfaceParametricEquation surface)
{
var samples = GetSamples();
var points = new Vector[UCount, VCount];
for (var i = 0; i < UCount; i++)
{
for (var j = 0; j < VCount; j++)
{
var sample = samples[i, j];
var u = sample.X;
var v = sample.Y;
points[i, j] = surface.Evaluate(u, v);
}
}
return(points);
}
public static Mesh HorizontalPlane(UvSampler vertices)
{
SurfaceParametricEquation surface = new SurfaceParametricEquation();
return(Parametric(surface, vertices));
}
public static Mesh Parametric(SurfaceParametricEquation surface, UvSampler vertices, bool closed0 = false, bool closed1 = false)
{
MeshBuilder mb = MeshBuilder.ParametricEquation(surface, vertices, closed0, closed1);
return(mb.ToMesh());
}
public static MeshBuilder ParametricEquation(SurfaceParametricEquation surface, UvSampler vertices, bool closed0 = false, bool closed1 = false)
{
var points = vertices.EvaluateSurface(surface);
return(RectGrid(points, closed0, closed1));
}