Unity3d Vector3点

两点直线补间 

/// 

/// 两点之间直线的坐标计算.
/// 
/// The line paht help.
/// 起点.
/// 终点.
/// 从起点到终点每间隔几米划分一个点.
public static List ToLinePahtHelp(Vector3 startPoint, Vector3 endPoint, float per = 0.27f)
{
    List pointList = new List(777);
    Vector3 dir = (endPoint - startPoint).normalized;
    Vector3 currentPoint = Vector3.zero; ;
    float distance = Vector3.Distance(endPoint, startPoint);
    int number = (int)(distance / per);
    for (int i = 1; i < number + 1; i++)
    {
        currentPoint = startPoint + dir * (float)(i * per);
        pointList.Add(currentPoint);
    }
    return pointList;
}

多点之间曲线补间

using System;
using System.Collections.Generic;
using UnityEngine;
using System.Linq;

public class Test_05 : MonoBehaviour
{
    Transform a, b,c,d;
    // Start is called before the first frame update
    void Start()
    {
        a =GameObject.Find("Cube_A").transform;
        b = GameObject.Find("Cube_B").transform;
        c = GameObject.Find("Cube_C").transform;
        d = GameObject.Find("Cube_D").transform;
    }

    // Update is called once per frame
    void Update()
    {
        if (Input.GetKeyDown(KeyCode.Mouse0))
        {

            var pointList = new List(777);
            pointList.Add(a);
            pointList.Add(b);
            DebugDrawPath(CaulaterPath(pointList.Select(x => x.position).ToArray()), Color.red, 10f);

        }
        if (Input.GetKeyDown(KeyCode.Mouse1))
        {
            var pointList = new List(777);
            pointList.Add(a);
            pointList.Add(b);
            pointList.Add(c);
            pointList.Add(d);
            DebugDrawPath(CaulaterPath(pointList.Select(x=>x.position).ToArray()), Color.yellow, 10f);
        }
    }

    /// 

    /// 多点之间曲线补间,计算出这些点曲线间隔
    /// 
    /// 
    /// 
    public static Vector3[] CaulaterPath(Vector3[] path)
    {
        Vector3[] vector3s = PathControlPointGenerator(path);
        int SmoothAmount = path.Length * 20;
        var points = new Vector3[SmoothAmount+1];
        points[0] = Interp(vector3s, 0);
        for (int i = 1; i <= SmoothAmount; i++)
        {
            float pm = (float)i / SmoothAmount;
            Vector3 currPt = Interp(vector3s, pm);
            points[i]=currPt;
        }
        return points;
    }

    /// 

    /// 绘制多点线段
    /// 
    /// 
    /// 
    /// 
    public void DebugDrawPath(Vector3[] path, Color color = default(Color), float duration = 0.1f)
    {
        var length = path.Length;
        for (int i = 0; i < length; i++)
        {
            var curr = path[i];
            //最后一个点
            if (i == length - 1)
            {
                var forwardPos = path[i - 1];
                Debug.DrawLine(curr, forwardPos, color, duration);
            }
            else
            {
                var nextPos = path[i + 1];
                Debug.DrawLine(curr, nextPos, color, duration);
            }
        }
    }


    private static Vector3[] PathControlPointGenerator(Vector3[] path)
    {
        Vector3[] suppliedPath;
        Vector3[] vector3s;
        //create and store path points:
        suppliedPath = path;
        //populate calculate path;
        int offset = 2;
        vector3s = new Vector3[suppliedPath.Length + offset];
        Array.Copy(suppliedPath, 0, vector3s, 1, suppliedPath.Length);
        vector3s[0] = vector3s[1] + (vector3s[1] - vector3s[2]);
        vector3s[vector3s.Length - 1] = vector3s[vector3s.Length - 2] + (vector3s[vector3s.Length - 2] - vector3s[vector3s.Length - 3]);
        //is this a closed, continuous loop? yes? well then so let's make a continuous Catmull-Rom spline!
        if (vector3s[1] == vector3s[vector3s.Length - 2])
        {
            Vector3[] tmpLoopSpline = new Vector3[vector3s.Length];
            Array.Copy(vector3s, tmpLoopSpline, vector3s.Length);
            tmpLoopSpline[0] = tmpLoopSpline[tmpLoopSpline.Length - 3];
            tmpLoopSpline[tmpLoopSpline.Length - 1] = tmpLoopSpline[2];
            vector3s = new Vector3[tmpLoopSpline.Length];
            Array.Copy(tmpLoopSpline, vector3s, tmpLoopSpline.Length);
        }
        return vector3s;
    }

    private static Vector3 Interp(Vector3[] pts, float t)
    {
        int numSections = pts.Length - 3;
        int currPt = Mathf.Min(Mathf.FloorToInt(t * (float)numSections), numSections - 1);
        float u = t * (float)numSections - (float)currPt;
        Vector3 a = pts[currPt];
        Vector3 b = pts[currPt + 1];
        Vector3 c = pts[currPt + 2];
        Vector3 d = pts[currPt + 3];
        return .5f * (
            (-a + 3f * b - 3f * c + d) * (u * u * u)
            + (2f * a - 5f * b + 4f * c - d) * (u * u)
            + (-a + c) * u
            + 2f * b);
    }
}