贝塞尔曲线代码

调用类

using UnityEngine;



[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;

        }

    }

}

 

绑定到场景中的脚本，要用line Renderer组件

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>();

        YellowlineRenderer.SetVertexCount(100);

    }

    

    void OnGUI()

    {

        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( hSliderValue1, hSliderValue0, 0f ), new Vector3( 5f, 0f, 0f ) );

        for(int i =1; i <= 100; i++)

        {

            Vector3 vec = myBezier.GetPointAtTime( (float)(i *0.01) );

            YellowlineRenderer.SetPosition(i -1,vec);

        }

    }

}