I know this might be a bit of a noob question, but I can't figure out what I'm doing wrong, and the math that I have done should make this work correctly. I am trying to make a perlin noise map that is normal until a specific range, at which point it would decrease to where all the values trend towards zero, creating an island in an ocean. I am currently generating perlin "sample" values, and then dividing them by a factor which stays close to one up to a specific bound, and then increases polynomialy. The problem however, is that the noise stays stuck in the top right corner, and is darker than I would expect. Here is the mathematical function I am using graphed on Desmos where n is the boundary and x is the distance from the center of the map:
And here is the main body code I am using to generate the noise map:
using System.Collections; using System.Collections.Generic; using UnityEngine; public class GenNoise : MonoBehaviour { public int width = 256; public int height = 256; public float scale = 20f; public float offsetX; public float offsetY; public float falloffRange = 100; public float falloffPower = 10; public void RenderNoiseMap() { Renderer renderer = GetComponent<Renderer>(); renderer.sharedMaterial.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 = GenerateColor(x, y); texture.SetPixel(x, y, color); } } texture.Apply(); return texture; } Color GenerateColor(int x, int y) { float xCoord = ((float)x / width * scale) + offsetX; float yCoord = ((float)y / height * scale) + offsetY; float falloffFactor = FalloffFactor(x, y, width, height); float sample = Mathf.PerlinNoise(xCoord, yCoord); sample = sample / falloffFactor; return new Color(sample, sample, sample); } float FalloffFactor(int x, int y, int width, int height) { float falloffFactor = 1; float centerX = (float)width / 2; float centerY = (float)height / 2; float distanceFromCenter = Mathf.Sqrt(Mathf.Pow(2, ((float)x - centerX)) + Mathf.Pow(2, ((float)y - centerY))); falloffFactor = Mathf.Pow(2, (Mathf.Pow(falloffPower, (distanceFromCenter / falloffRange)) + 1)); return falloffFactor; } } And Here is the code that I am using to generate the image in the editor:
using UnityEngine; using UnityEditor; [CustomEditor(typeof(GenNoise))] public class NewBehaviourScript : Editor { public override void OnInspectorGUI() { DrawDefaultInspector(); GenNoise script = (GenNoise)target; if (GUILayout.Button("Generate")) { script.RenderNoiseMap(); } } } Here is a picture of the result: 
