C#获取Bezier曲线拆分点数组

/// <summary>
/// 获取Bezier近似的点数组 Calculate Bezier line segments
/// </summary>
/// <param name="controlPoints">Bezier曲线控制点数组</param>
/// <param name="outputSegmentCount">输出曲线段数量</param>
/// <returns>近似的点数组</returns>
public static Point[] GetBezierApproximation(Point[] controlPoints, int outputSegmentCount)
{
  if (UseLegacyBezier)
    return GetBezierApproximationOld(controlPoints, outputSegmentCount);
  else
    return BezierTools.FlattenTo(controlPoints, .2 / scaledError).ToArray();
}

private static Point[] GetBezierApproximationOld(Point[] controlPoints, int outputSegmentCount)
{
  Point[] points = new Point[outputSegmentCount + 1];
  for (int i = 0; i <= outputSegmentCount; i++)
  {
    double t = (double)i / outputSegmentCount;
    points[i] = GetBezierPoint(t, controlPoints, 0, controlPoints.Length);
  }
  return points;
}

private static Point GetBezierPoint(double t, Point[] controlPoints, int index, int count)
{
  if (count == 1)
    return controlPoints[index];
  var P0 = GetBezierPoint(t, controlPoints, index, count - 1);
  var P1 = GetBezierPoint(t, controlPoints, index + 1, count - 1);
  double x = (1 - t) * P0.X + t * P1.X;

  return new Point(x, (1 - t) * P0.Y + t * P1.Y);
}