平滑曲线连接多个点

贝塞尔曲线

参考资料：

 using System.Collections; using System.Collections.Generic; using UnityEngine;  //https://en.wikipedia.org/wiki/Centripetal_Catmull%E2%80%93Rom_spline public class SmoothCurveHandler : MonoBehaviour {     [SerializeField] LineRenderer lineRender;      [SerializeField] List<Transform> posList;      const int countBetween2Point = 20;      Vector3[] curvePoints;      void Start()     {         curvePoints = new Vector3[countBetween2Point * (posList.Count - 1) + 1];          lineRender.positionCount = curvePoints.Length;     }            void Update()     {         CalculateCurve();         lineRender.SetPositions(curvePoints);     }      //-----------------------      Vector3 firstPos, curPos, nextPos, lastPos;     void CalculateCurve()     {         //依次计算相邻两点间曲线         //由四个点确定一条曲线（当前相邻两点p1,p2，以及前后各一点p0,p3）         for (int i = 0; i < posList.Count - 1; i++)         {             //特殊位置增加虚拟点             //如果p1点是第一个点，不存在p0点，由p1,p2确定一条直线，在向量(p2p1)方向确定虚拟点p0             if (i == 0)                 firstPos = posList[i].position * 2 - posList[i + 1].position;             else                 firstPos = posList[i - 1].position;             //中间点             curPos = posList[i].position;             nextPos = posList[i + 1].position;             //特殊位置增加虚拟点，同上             if (i == posList.Count - 2)                 lastPos = posList[i + 1].position * 2 - posList[i].position;             else                 lastPos = posList[i + 2].position;              CatmulRom(firstPos, curPos, nextPos, lastPos, ref curvePoints, countBetween2Point * i);         }         //加入最后一个点位         curvePoints[curvePoints.Length - 1] = posList[posList.Count - 1].position;     }      //平滑过渡两点间曲线（p1,p2为端点，p0,p3是控制点）     void CatmulRom(Vector2 p0, Vector2 p1, Vector2 p2, Vector2 p3, ref Vector3[] points, int startIndex)     {         //计算Catmull-Rom样条曲线         float t0 = 0;         float t1 = GetT(t0, p0, p1);         float t2 = GetT(t1, p1, p2);         float t3 = GetT(t2, p2, p3);          float t;         for (int i = 0; i < countBetween2Point; i++)         {             t = t1 + (t2 - t1) / countBetween2Point * i;              Vector2 A1 = (t1 - t) / (t1 - t0) * p0 + (t - t0) / (t1 - t0) * p1;             Vector2 A2 = (t2 - t) / (t2 - t1) * p1 + (t - t1) / (t2 - t1) * p2;             Vector2 A3 = (t3 - t) / (t3 - t2) * p2 + (t - t2) / (t3 - t2) * p3;              Vector2 B1 = (t2 - t) / (t2 - t0) * A1 + (t - t0) / (t2 - t0) * A2;             Vector2 B2 = (t3 - t) / (t3 - t1) * A2 + (t - t1) / (t3 - t1) * A3;              Vector2 C = (t2 - t) / (t2 - t1) * B1 + (t - t1) / (t2 - t1) * B2;              points[startIndex + i] = C;         }     }      float GetT(float t, Vector2 p0, Vector2 p1)     {         return t + Mathf.Pow(Mathf.Pow((p1.x - p0.x), 2) + Mathf.Pow((p1.y - p0.y), 2), 0.5f);     }  }

文章来源: https://blog.csdn.net/qq_39108767/article/details/97164821