两点直线补间

/// <summary>
/// 两点之间直线的坐标计算.
/// </summary>
/// <returns>The line paht help.</returns>
/// <param name="startPoint">起点.</param>
/// <param name="endPoint">终点.</param>
/// <param name="per">从起点到终点每间隔几米划分一个点.</param>
public static List<Vector3> ToLinePahtHelp(Vector3 startPoint, Vector3 endPoint, float per = 0.27f)
{List<Vector3> pointList = new List<Vector3>(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 updatevoid 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 framevoid Update(){if (Input.GetKeyDown(KeyCode.Mouse0)){var pointList = new List<Transform>(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<Transform>(777);pointList.Add(a);pointList.Add(b);pointList.Add(c);pointList.Add(d);DebugDrawPath(CaulaterPath(pointList.Select(x=>x.position).ToArray()), Color.yellow, 10f);}}/// <summary>/// 多点之间曲线补间,计算出这些点曲线间隔/// </summary>/// <param name="path"></param>/// <returns></returns>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;}/// <summary>/// 绘制多点线段/// </summary>/// <param name="path"></param>/// <param name="color"></param>/// <param name="duration"></param>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);}
}

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Unity3d Vector3点

两点直线补间

多点之间曲线补间

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