在Unity中使用贝塞尔曲线

最新推荐文章于 2020-05-15 15:46:10 发布

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最新推荐文章于 2020-05-15 15:46:10 发布

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分类专栏： Unity 文章标签： Unity3D 贝塞尔曲线

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本文介绍了一个简单的Bezier曲线类实现，该类使用Unity引擎并提供基于四个控制点的Bezier曲线生成方法。通过设置不同的控制点，可以创建出平滑过渡的曲线路径，并提供了获取指定时间点上曲线位置的功能。

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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;

        }

    }

}

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