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File:Distance Estimation.png

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Original file (1,920 × 1,080 pixels, file size: 123 KB, MIME type: image/png)

Summary

Description
English: Mandelbrot Set rendered with interior distance estimation
Date
Source

Own work

Shader "Fractals/Coloring Techniques/Interior Distance"
{
	Properties
	{
		_MainTex ("Texture", 2D) = "white" {}

		_Iter ("Iterations", Range(0, 2500)) = 100
		
		_Zoom ("Zoom", Range (0.1, 1000)) = .65
		_Position ("Offset", Vector) = (0.4, 0, 0, 0)

		_Epsilon ("Epsilon", Range (.001, 1)) = 0.1
		_Dividend ("Dividend", Range(50, 7500)) = 2000

		_Interior ("Interior", Color) = (1, 1, 1, 1)
		_Edge ("Edge", Color) = (0, 0, 0, 0)
	}	
	SubShader
	{
		// No culling or depth
		Cull Off ZWrite Off ZTest Always

		Pass
		{
			CGPROGRAM

			#pragma vertex vert
			#pragma fragment frag
			
			#include "UnityCG.cginc"
			#include "Complex.cginc"
			#include "FractalOperations.cginc"

			struct appdata
			{
				float4 vertex : POSITION;
				float2 uv : TEXCOORD0;
			};

			struct v2f
			{
				float2 uv : TEXCOORD0;
				float4 vertex : SV_POSITION;
			};

			sampler2D _MainTex;

			int _Iter;

			fixed _Zoom;
			float2 _Position;

			float _Dividend;
			fixed _Epsilon;

			fixed4 _Interior;
			fixed4 _Edge;

			v2f vert (appdata v)
			{
				v2f o;
				o.vertex = UnityObjectToClipPos(v.vertex);
				o.uv = v.uv;
				return o;
			}

			fixed4 frag (v2f i) : SV_Target
			{
				float x0 = (ClampScaleX(i.uv) + _Position.x) / _Zoom;
				float y0 = (ClampScaleY(i.uv) + _Position.y) / _Zoom;			

				float2 z = float2(x0, y0);
				float2 d = float2(1, 1);
				float2 c = float2(x0, y0);

				int iteration = 0;

				while (IsBounded(z, 4) && iteration < _Iter)
				{	

					if (cabs(d) < _Epsilon)
					{
						float4 color;

						float percent = CalcPercent(1, _Iter, iteration);

						return lerp(_Interior, _Edge*255, percent/_Dividend);
					}

					d = 2 * cmul(d, z);	

					z = cmul(z, z);
					z += c;					

					iteration++;
				}
				
				return float4(0, 0, 0, 0);
			}		    
			ENDCG
		}
	}
	CustomEditor "FractalEditor"
}
Author JPBotelho

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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depicts

27 January 2018

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Date/TimeThumbnailDimensionsUserComment
current21:15, 27 January 2018Thumbnail for version as of 21:15, 27 January 20181,920 × 1,080 (123 KB)JPBotelhoUser created page with UploadWizard

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