public static Point3D Evaluate(
this IParametricSurface surface,
Parametrisation parametrisation
)
{
return(surface.Evaluate(
parametrisation.U,
parametrisation.V
));
}
public static double DistanceNormMax(
Parametrisation left,
Parametrisation right
)
{
// todo: check boundaries
return(Math.Max(
Math.Abs(left.UnboundedU - right.UnboundedU),
Math.Abs(left.UnboundedV - right.UnboundedV)
));
}
public static Vector3D Derivative(
this IParametricSurface surface,
Parametrisation parametrisation,
DerivativeParameter parameter
)
{
return(surface.Derivative(
parametrisation.U,
parametrisation.V,
parameter
));
}
public static Vector3D Normal(
this IParametricSurface surface,
Parametrisation parametrisation)
{
var du = surface.Derivative(
parametrisation,
DerivativeParameter.U
);
var dv = surface.Derivative(
parametrisation,
DerivativeParameter.V
);
return(Vector3D.CrossProduct(du, dv));
}