Edited by Bezier curve

using System.Collections;
using System.Collections.Generic;
using UnityEngine;
using DG.Tweening;


//[ExecuteInEditMode]
public class PathManager : MonoBehaviour
{
    public GameObject rootPoint;
    public Transform trans;
    public LineRenderer lineRenderer;
    private static PathManager Instance;
    // Use this for initialization
    public static PathManager GetInstance()
    {
        return Instance;
    }

    public BezierPathModel BezierPath;

    private void Awake()
    {
        Instance = this;
      
    }

    void Start()
    {
        if (!lineRenderer)
        {
            lineRenderer = gameObject.AddComponent<LineRenderer>();
        }
        else {
            lineRenderer = gameObject.GetComponent<LineRenderer>();
        }
        InitPath();
        DrawCurve(BezierPath.PathTrans);

        //trans.DOPath(BezierPath.PathTrans,10);
      //  trans.DOPath(BezierPath.PathTrans, 15, PathType.Linear, PathMode.Full3D);
       // rootPoint.DOPath(BezierPath.PathTrans, 15, PathType.Linear, PathMode.Full3D);
    }

    public void Update()
    {
       
    }

    void DrawCurve(List<Vector3> pos)
    {
        lineRenderer.positionCount = pos.Count;
        for (int i = 0; i < pos.Count; i++)
        {
            //   float t = i / (float)pos.Count;
            // int nodeIndex = 0;
           // Debug.Log("i"+i);
            Pixel = Vector3 POS [I];
             // lineRenderer.positionCount = I; 
            lineRenderer.SetPosition (I, Pixel); 
        } 
    } 

    public  void InitPath () 
    { 
        BezierPath.PathTrans = the Calculate (BezierPath.ControlTrans, BezierPath.segmentNum); 

    } 

    public List <Vector3> the Calculate (List <the Transform> POSS, int Precision) 
    { 

        // dimension coordinate data (two-dimensional coordinates, three-dimensional coordinates ...) shaft 
        int dimersion = 2 ; 

        // Bezier control points (order ) 
        int Number = poss.Count; 

        //Control points is not less than 2, at least two-dimensional coordinate system 
        IF (Number < 2 || dimersion < 2 )
             return  null ; 

        List <Vector3> Result = new new List <Vector3> (); 

        // calculate Pascal's triangle 
        int [] = mi The new new  int [Number]; 
        mi The [ 0 ] = mi The [ . 1 ] = . 1 ;
         for ( int I = . 3 ; I <= Number; I ++ ) 
        { 

            int [] T = new new  int [I - . 1 ];
            for (int j = 0; j < t.Length; j++)
            {
                t[j] = mi[j];
            }

            mi[0] = mi[i - 1] = 1;
            for (int j = 0; j < i - 2; j++)
            {
                mi[j + 1] = t[j] + t[j + 1];
            }
        }

        //计算坐标点
        for (int i = 0; i < precision; i++)
        {
            float t = (float)i / precision;
            Vector3 temp_ = new Vector3(0, 0, 0);
            for (int k = 0; k < number; k++)
            {
                temp_.x += Mathf.Pow(1 - t, number - k - 1) * poss[k].position.x * Mathf.Pow(t, k) * mi[k];
                temp_.y += Mathf.Pow(1 - t, number - k - 1) * poss[k].position.y * Mathf.Pow(t, k) * mi[k];
                temp_.z += Mathf.Pow(1 - t, number - k - 1) * poss[k].position.z * Mathf.Pow(t, k) * mi[k];
            }

            result.Add(temp_);
        }
        return result;
    }

    public List<Vector3> ReturnPath(int id)
    {
        return BezierPath.PathTrans;
    }
}

[System.Serializable]
public class BezierPathModel
{
    public List<Transform> ControlTrans;
    public int segmentNum;
    public List<Vector3> PathTrans;

}