using UnityEngine;

using System.Collections.Generic;

using Newtonsoft.Json;

using System.IO;

using UnityEditor;

 

[ExecuteInEditMode]

public class Test : MonoBehaviour

{

    public Transform pTransform, aTransform, bTransform, qTransform;//aTransform, bTransform为控制点

 

    public Transform targetTransform;

 

 

    public float t = 0;

 

    // Use this for initialization

    void Awake ()

    {

 

    }

 

    // Update is called once per frame

    void Update ()

    {

        t = Mathf.Clamp01(t);

 

        Vector3 p = pTransform.position;

        Vector3 a = aTransform.position;

        Vector3 b = bTransform.position;

        Vector3 q = qTransform.position;

 

        targetTransform.position = Interpolation.CalculateBezier(p, a - p,  b - q, q, t);

    }

 

    void OnDrawGizmos()

    //void OnDrawGizmosSelected()

    {

        Vector3 p = pTransform.position;

        Vector3 a = aTransform.position;

        Vector3 b = bTransform.position;

        Vector3 q = qTransform.position;

 

 

        float width = HandleUtility.GetHandleSize(transform.position);

        Handles.DrawBezier(p,

                           q,

                           a - p,

                           b - q,

                           Color.red,

                           null,

                           width);

    }

} 




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public static class Interpolation

{

    public static Vector3 CalculateBezier(Vector3 p0 /*startPosition*/, Vector3 p1/*startTangent*/, Vector3 p2/*endTangent*/, Vector3 p3/*endPosition*/, float t)

    {

        float t2 = t * t;

        float t3 = t2 * t;

        float u = 1.0f - t;

        float u2 = u * u;

        float u3 = u2 * u;

 

        return u3 * p0 + 3 * u2 * t * p1 + 3 * u * t2 * p2 + t3 * p3;

    }

}


     ```

 



![你需要知道的贝塞尔曲线.png](http://upload-images.jianshu.io/upload_images/1239281-4823e6cd40ca6a70.png?imageMogr2/auto-orient/strip%7CimageView2/2/w/1240)
[http://en.wikipedia.org/wiki/B%C3%A9zier_curve