Smooth path

public sealed class SmoothPathBuilder
{
    private List<Vector2> _controlPoints;
    private List<Vector2> _path;

    private Vector2 _beginPoint;

    public SmoothPathBuilder(Vector2 beginPoint)
    {
        _beginPoint = beginPoint;

        _controlPoints = new List<Vector2>();
        _path = new List<Vector2>();
    }

    public void MoveTo(Vector2 point)
    {
        if (_controlPoints.Count < 4)
        {
            _controlPoints.Add(point);
            return;
        }

        var endPoint = new Vector2(
            (_controlPoints[2].X + point.X) / 2,
            (_controlPoints[2].Y + point.Y) / 2);

        _path.Add(_controlPoints[1]);
        _path.Add(_controlPoints[2]);
        _path.Add(endPoint);

        _controlPoints = new List<Vector2> { endPoint, point };
    }

    public void EndFigure(Vector2 point)
    {
        if (_controlPoints.Count > 1)
        {
            for (int i = 0; i < _controlPoints.Count; i++)
            {
                MoveTo(point);
            }
        }
    }

    public CanvasGeometry ToGeometry(ICanvasResourceCreator resourceCreator)
    {
        var builder = new CanvasPathBuilder(resourceCreator);
        builder.BeginFigure(_beginPoint);

        for (int i = 0; i < _path.Count; i += 3)
        {
            builder.AddCubicBezier(_path[i], _path[i + 1], _path[i + 2]);
        }

        builder.EndFigure(CanvasFigureLoop.Open);

        return CanvasGeometry.CreatePath(builder);
    }
}