Bezier curves in Unity3D using Casteljau's algorithm

BezierCurve.cs

using System.Collections.Generic;
using UnityEngine;

public class BezierCurve : MonoBehaviour
{
    // Casteljau's algorithm based on the implementation in: "3D Math Primer for Graphics and Game Development"
    public static Vector3 Curve(List<Vector3> points, float t)
    {
        Vector3[] allPoints = points.ToArray();
        int n = allPoints.Length;

        if (n == 0)
        {
            Debug.LogError("No positions specified!");
            return Vector3.zero;
        }
        else if (n < 3)
        {
            Debug.LogError("Not enough positions for a Bezier curve!");
            return Vector3.zero;
        }

        while (n > 1)
        {
            --n;

            // Perform the next round of interpolation, reducing the degree of the curve by one
            for (int i = 0; i < n; ++i)
            {
                allPoints[i] = allPoints[i] * (1.0f - t) + allPoints[i + 1] * t;
            }
        }

        return allPoints[0];
    }
    
    // Example code to visualize the trajectory
    // The "m_curvePoints" variable is a List<Vector3> that holds the curve's control points.
    //
    //  private void OnDrawGizmos()
    //  {
    //      if (m_curvePoints == null)
    //      {
    //          return;
    //      }
    //      else if (m_curvePoints.Count == 0)
    //      {
    //          return;
    //      }
    //
    //      const float delta = 0.01f;
    //      Vector3 previous = m_curvePoints[0];
    //
    //      for (float t = delta; t <= 1.0f; t += delta)
    //      {
    //          Vector3 point = BezierCurve.Curve(m_curvePoints, t);
    //
    //          Gizmos.color = Color.magenta;
    //          Gizmos.DrawLine(previous, point);
    //
    //          previous = point;
    //      }
    //  }
}