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Question by Lost_Syndicate · Jun 14, 2018 at 01:34 AM · c#perlin noiseseamless

How to make Perlin Noise Seemless on a sphere?

So, i have made a script to generate perlinnoise, randomly. But what i need is for it to be able to loop on a sphere, and not go small at the top. Here is the script: using UnityEngine; using System.Collections;

 public class Planet : MonoBehaviour
 {
     public int width = 256;
     public int height = 256;
 
     public float scale = 20f;
 
     public float offsetX = 100f;
     public float offsetY = 100f;
 
     private void Start()
     {
         offsetX = Random.Range(0f, 10000f);
         offsetY = Random.Range(0f, 10000f);
     }
 
     void Update()
     {
         Renderer renderer = GetComponent<Renderer>();
         renderer.material.mainTexture = GenerateTexture();
     }
 
     Texture2D GenerateTexture()
     {
         Texture2D texture = new Texture2D(width, height);
 
         for (int x = 0; x < width; x++)
         {
             for (int y = 0; y < height; y++)
             {
                 Color color = CalculateColor(x, y);
                 texture.SetPixel(x, y, color);
             }
         }
         
         texture.Apply();
         return texture;
     }
 
     Color CalculateColor(int x, int y)
     {
         float xCoord = (float)x / width * scale + offsetX;
         float yCoord = (float)y / height * scale + offsetY;
         
         float sample = Mathf.PerlinNoise(xCoord, yCoord);
         return new Color(sample, sample, sample);
     }
 }

Problem is, i dont know how to approach this.

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Best Answer

Answer by Remy_Unity · Jun 14, 2018 at 01:27 PM

If you don't want any seams and warping on your sphere texture, you will need to generate the texture from a 3D perlin noise.

The Sphere is mapped in a longitude/latitude way, so you can deduce the 3D coordinates from the UV (or 2d coords) and some trigonometry :

  • y = sin( UVy * pi - pi/2 )

  • x = cos( UVx 2 pi ) cos( UVy pi - pi/2 )

  • z = sin( UVx 2 pi ) cos( UVy pi - pi/2 )

    x, y and z are now values in the range [-1;1]. You need to remap them to [0;1] by doing : value = value * 0.5 + 0.5.

    Now you can get a 3D perlin noise value by chaining 2 2D perlin noise :

    float sample = Mathf.PerlinNoise( Mathf.PerlinNoise(x, y),z);



I haven't tried, but this should work.

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