如何将 perlin 噪声统一应用于线渲染器？

Question

我正在尝试将 perlin 噪声应用于统一 2d 中的线渲染器，这是我的代码：

public class Ground : MonoBehaviour
{
    private static bool seedGenerated;
    public static float Seed;
    public LineRenderer LineR;
    public EdgeCollider2D col;
    private Vector2[] points;
    public int lengthOfLineRenderer;
    public float scale = 20f;
    public float OffsetX = 0;
    public float OffsetY = 0f;
    // Start is called before the first frame update
    void Start()
    {
        if(!seedGenerated)
        {
            Seed = Random.Range(0f,9999f);
            seedGenerated = true;
        }
        OffsetX = Seed + transform.position.x;
        points = new Vector2[lengthOfLineRenderer * 10 + 1];
        LineR.positionCount = lengthOfLineRenderer * 10 + 1;

        for (float i = 0f; i < lengthOfLineRenderer; i += 0.1f)
        {
            LineR.SetPosition((int)Mathf.Round(i * 10), new Vector3(i,CalculateHeight(i),0.0f));
            //points[(int)Mathf.Round(i*10)] = new Vector2(i,CalculateHeight(i));
        }
        LineR.SetPosition(100,new Vector3(10f,CalculateHeight(10f),0));
        points[100] = new Vector2(10f,CalculateHeight(101));
        col.points = points;
    }

    // Update is called once per frame
    void Update()
    {

    }
    float CalculateHeight(float x)
    {
        float width = lengthOfLineRenderer * 10;
        float xCoord = x / width * scale + OffsetX;
        return Mathf.PerlinNoise(xCoord,OffsetY);
    }
}

位置应用正确，变量lengthOfLineRenderer等于 10，因为我希望线的比例为 10，一切正常，但是当我在OffsetX中生成另一条偏移量为 10 的线时，它们似乎大部分时间都没有正确对齐，是我的代码中的问题还是柏林噪声方法中的问题？

Answer 1

让我们做一些简单的数学运算。 根据您的描述，我们有：

lengthOfLineRenderer = 10
scale = 10
width = lengthOfLineRenderer * 10
      = 100

第一行的最后一点是：

xCoord = 10f / width * scale + OffsetX
       = 10f / 100 * 10 + OffsetX
       = 1 + OffsetX

第二行的第一个点（在 OffsetX 中有 10 个不同的偏移量）是：

xCoord = 0f / width * scale + OffsetX + 10
       = OffsetX + 10

显然1 + OffsetX != OffsetX + 10 ，所以要使它们相等，您需要scale = 100 。

Answer 2

这是我修复了一些东西的新代码：

    private static bool seedGenerated;
    public static float Seed;
    public LineRenderer LineR;
    public EdgeCollider2D col;
    private Vector2[] points;
    public int lengthOfLineRenderer;
    public float scale;
    public float OffsetX = 0;
    public float OffsetY = 0f;
    public float frequency;
    // Start is called before the first frame update
    void Start()
    {
        if(!seedGenerated)
        {
            Seed = Random.Range(0,9999);
            seedGenerated = true;
        }
        OffsetX = Seed + transform.position.x;
        points = new Vector2[lengthOfLineRenderer * 10+1 ];
        LineR.positionCount = lengthOfLineRenderer * 10+1 ;

        for (float i = 0f; i < lengthOfLineRenderer+0.1f; i += 0.1f)
        {
            LineR.SetPosition((int)Mathf.Round(i * 10), new Vector3(i,CalculateHeight(i) * frequency,0.0f));
            points[(int)Mathf.Round(i*10)] = new Vector2(i,CalculateHeight(i) * frequency);
        }
        col.points = points;
    }

    // Update is called once per frame
    void Update()
    {

    }
    float CalculateHeight(float x)
    {
        float width = lengthOfLineRenderer * 10;
        float xCoord = x / width * scale + OffsetX;
        return Mathf.PerlinNoise(xCoord,OffsetY);
    }