Unity使用贝塞尔曲线

Unity使用贝塞尔曲线，网络上已经有很多帖子了，我这里主要就是转载下，多谢。

 

贝塞尔曲线计算脚本：通过GetPointAtTime（）获取数据

using UnityEngine;
using System.Collections;

[System.Serializable]
public class Bezier : System.Object

{

	public Vector3 p0;

	public Vector3 p1;

	public Vector3 p2;

	public Vector3 p3;

	public float ti = 0f;

	private Vector3 b0 = Vector3.zero;

	private Vector3 b1 = Vector3.zero;

	private Vector3 b2 = Vector3.zero;

	private Vector3 b3 = Vector3.zero;

	private float Ax;

	private float Ay;

	private float Az;

	private float Bx;

	private float By;

	private float Bz;

	private float Cx;

	private float Cy;

	private float Cz;

	// Init function v0 = 1st point, v1 = handle of the 1st point , v2 = handle of the 2nd point, v3 = 2nd point

	// handle1 = v0 + v1

	// handle2 = v3 + v2

	public Bezier( Vector3 v0, Vector3 v1, Vector3 v2, Vector3 v3 )

	{

		this.p0 = v0;

		this.p1 = v1;

		this.p2 = v2;

		this.p3 = v3;

	}

	// 0.0 >= t <= 1.0

	public Vector3 GetPointAtTime( float t )

	{

		this.CheckConstant();

		float t2 = t * t;

		float t3 = t * t * t;

		float x = this.Ax * t3 + this.Bx * t2 + this.Cx * t + p0.x;

		float y = this.Ay * t3 + this.By * t2 + this.Cy * t + p0.y;

		float z = this.Az * t3 + this.Bz * t2 + this.Cz * t + p0.z;

		return new Vector3( x, y, z );

	}

	private void SetConstant()

	{

		this.Cx = 3f * ( ( this.p0.x + this.p1.x ) - this.p0.x );

		this.Bx = 3f * ( ( this.p3.x + this.p2.x ) - ( this.p0.x + this.p1.x ) ) - this.Cx;

		this.Ax = this.p3.x - this.p0.x - this.Cx - this.Bx;

		this.Cy = 3f * ( ( this.p0.y + this.p1.y ) - this.p0.y );

		this.By = 3f * ( ( this.p3.y + this.p2.y ) - ( this.p0.y + this.p1.y ) ) - this.Cy;

		this.Ay = this.p3.y - this.p0.y - this.Cy - this.By;

		this.Cz = 3f * ( ( this.p0.z + this.p1.z ) - this.p0.z );

		this.Bz = 3f * ( ( this.p3.z + this.p2.z ) - ( this.p0.z + this.p1.z ) ) - this.Cz;

		this.Az = this.p3.z - this.p0.z - this.Cz - this.Bz;

	}

	// Check if p0, p1, p2 or p3 have changed

	private void CheckConstant()

	{

		if( this.p0 != this.b0 || this.p1 != this.b1 || this.p2 != this.b2 || this.p3 != this.b3 )

		{

			this.SetConstant();

			this.b0 = this.p0;

			this.b1 = this.p1;

			this.b2 = this.p2;

			this.b3 = this.p3;

		}

	}

}

初始化贝塞尔曲线，得到曲线每一点的坐标数据

using UnityEngine;
public class MyBezier : MonoBehaviour

{
	//????????
    public Bezier myBezier;
	//?????	
	public GameObject Yellowline;
	//?????????
	private LineRenderer YellowlineRenderer;
    //????????????????	
	public float hSliderValue0;
	public float hSliderValue1;

    void Start()
    {
    	//??????
		YellowlineRenderer = Yellowline.GetComponent<LineRenderer>();
		//???????????????100?????
		YellowlineRenderer.SetVertexCount(100);
    }
	void OnGUI()
	{
		//????? -5.0 - 5.0???????
		hSliderValue0 = GUI.HorizontalSlider(new Rect(25, 25, 100, 30), hSliderValue0, -5.0F, 5.0F);
		hSliderValue1 = GUI.HorizontalSlider(new Rect(25, 70, 100, 30), hSliderValue1, -5.0F, 5.0F);
	}

    void Update()
    {
    	//??????????????????????????
        myBezier = new Bezier( new Vector3( -5f, 0f, 0f ),  new Vector3( hSliderValue1, hSliderValue0 , 0f ),  new Vector3( 0, 0, 0f ), new Vector3( 5f, 0f, 0f ) );

		//??100?????????????
		for(int i =1; i <= 100; i++)
		{
			//??????? 0 - 1 ??????????
			//????????i * 0.01 ????????
			Vector3 vec = myBezier.GetPointAtTime( (float)(i *0.01) );
			//????????? ??????????
			YellowlineRenderer.SetPosition(i -1,vec);
		}
    

【参考】：http://www.xuanyusong.com/archives/1548

【工程下载】：http://pan.baidu.com/s/1bnD5uhx