# The simplest algorithm for fractal image generation

Source: Internet
Author: User

This article will provide a complete C-language code that produces a fractal image file, and is extremely simple. I believe this is the simplest algorithm for fractal image generation. Most of the fractal image code is also very short, but a recursive iteration is difficult to understand. This code is understood, and the resulting image can be unexpected.

`#include <iostream>#include<cmath>#include<cstdlib>#defineDIM 1000voidPixel_write (int,int); FILE*FP;intMain () {FP= fopen ("image.ppm","WB"); if(!FP) {        return-1; } fprintf (FP,"p6\n%d%d\n255\n", Dim, dim);  for(intj=0; j<dim;j++)    {         for(intI=0; i<dim;i++) {pixel_write (i,j);    }} fclose (FP); return 0;}voidPixel_write (intIintj) {    StaticUnsignedCharcolor[3]; floatT = j + i*0.001f; memcpy (color,&t,3); Fwrite (color,1,3, FP); //in fact, the more simple way to explode is//fwrite (&t, 1, 3, FP);}`

When the code finishes running, it generates an image file in ppm format:

The simplest fractal figure should be a Cantor (Cantor) three-part set, just to keep the segments in Split. As shown:

The algorithm generates images that are somewhat similar to the Cantor three-part set. Especially its green channel:

By modifying the code, the fractal effect is more pronounced:

`void pixel_write (intint  j) {    staticchar color[3 ];     float t = j/4 + i*0.001f;     3 );     1 3 , FP);}`

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The simplest algorithm for fractal image generation

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