/// <summary>
/// Returns the closest point on the polyline to the given point.
/// </summary>
/// <param name="p">A point</param>
/// <returns>A point which is the closest to the given point but still on the line.</returns>
public Point3D ClosestPointTo(Point3D p)
{
var minError = double.MaxValue;
var closest = default(Point3D);
for (var i = 0; i < this.VertexCount - 1; i++)
{
var segment = new LineSegment3D(this.points[i], this.points[i + 1]);
var projected = segment.ClosestPointTo(p);
var error = p.DistanceTo(projected);
if (error < minError)
{
minError = error;
closest = projected;
}
}
return(closest);
}
/// <summary>
/// Create a circle from the midpoint between two points, in a direction along a specified axis
/// </summary>
/// <param name="p1">First point on the circumference of the circle</param>
/// <param name="p2">Second point on the circumference of the circle</param>
/// <param name="axis">Direction of the plane in which the circle lies</param>
public Circle3D(Point3D p1, Point3D p2, UnitVector3D axis)
{
this.CenterPoint = Point3D.MidPoint(p1, p2);
this.Axis = axis;
this.Radius = p1.DistanceTo(CenterPoint);
}
