/// <summary>
/// Creates a square flat surface on the XY Plane.
/// </summary>
/// <param name="xDimension">Dimension interval on the X direction.</param>
/// <param name="yDimension">Dimension interval on the Y direction.</param>
/// <param name="xCount">Number of points on the X direction.</param>
/// <param name="yCount">Number of points on the Y direction.</param>
/// <returns>Flat nurbs surface.</returns>
public static NurbsSurface CreateFlatSurface(
Interval xDimension,
Interval yDimension,
int xCount,
int yCount)
{
var m = new Matrix <Point4d>(xCount, yCount);
for (var i = 0; i < xCount; i++)
{
for (var j = 0; j < yCount; j++)
{
m[i, j] = new Point4d(
xDimension.RemapFromUnit(( double )i / xCount),
yDimension.RemapFromUnit(( double )j / yCount),
0,
1);
}
}
var degreeU = xCount <= 3 ? xCount - 1 : 3;
var degreeV = yCount <= 3 ? yCount - 1 : 3;
return(new NurbsSurface(m, degreeU, degreeV));
}
/// <summary>
/// Initializes a new instance of the <see cref="Point3d"/> class from a 4-dimensional point by dividing the cartesian coordinates by the weight.
/// </summary>
/// <param name="point">4d point to convert.</param>
/// <returns><see cref="Point3d"/>.</returns>
public Point3d(Point4d point)
: this(point.X / point.Weight, point.Y / point.Weight, point.Z / point.Weight)
{
}