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Generic Fractal Generator

version (2.91 KB) by Yavor Kamer
Generates a multi/monofractal point distribution from user supplied or build-in template matrix.


Updated 06 May 2015

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A generic multi/monofractal generator. Uses build-in or user supplied template matrices to recursively generate fractal point distributions. The template matrix should be of size [n,n,1] for 2D fractals and [n,n,n] for 3D fractals. If the matrix elements consist of 0s and 1s the resulting distribution will be a monofractal. If there are elements >1 then the result is a multifractal point distribution. Multifractality is handled by iteratively fracturing masses >1 and then randomly sampling the obtained PDF. The main fracturing function is parallelized with parfor.
Example 1: Generate a regular Merger Sponge fractal
pts_mat = fracGen('Menger3D');

Example 2: Generate a random 3D monofractal with D=1.58, sampled by 1000 points
mat_p1 = [0 1; 0 0];
mat_p1(:,:,2) = [1 0; 1 0];
pts_mat = fracGen(mat_p1,1,1000);

Cite As

Yavor Kamer (2020). Generic Fractal Generator (, MATLAB Central File Exchange. Retrieved .

Comments and Ratings (3)


Yavor Kamer

hi ehsan,
thanks for the rating,
do you have some feedback regarding the code?


fixed a bug in the varargin parsing

MATLAB Release Compatibility
Created with R2011a
Compatible with any release
Platform Compatibility
Windows macOS Linux

Inspired by: randp