SFTA Texture Extractor by Alceu Costa

Implementation of the SFTA algorithm for texture feature extraction. (image descriptors, image processing, computer vision)

findBorders( I )

hausDim( I )

otsurec(I, ttotal)

Dynamical Systems with Applications using MATLAB by Stephen Lynch

Companion Software. (chaos, nonlinear, mathematics)

Program_5c(~)

Programs_17a

Programs_17b

make_koch.m by ben

This function plots the Koch curve for n iterations (mathematics, fractals, koch curve)

make_koch(N)

Automatic Terrain Generation by Tucker McClure

A set a tools for generating artificial terrain and other rough phenomena mapped over a 2D surface. (terrain, landscape, mapping)

Demonstration of Algorithmic Terrain Generation

generate_brownian_mesh(n, zm)

generate_brownian_tri(n, nm, r0, el, rr)

A GPU Mandelbrot Set by Ben Tordoff

Explore the Mandelbrot Set using MATLAB and a GPU. (gpu, fractal, graphics)

A GPU Mandelbrot Set

compilePTX()

jet2(m)

GPU Julia Set Explorer by Ben Tordoff

Explore the Julia Set of the Mandelbrot Set using MATLAB and a capable GPU. (gpu, fractal, graphics)

GPU Julia Set Explorer

juliaSetExplorer(z0)

Mandelbrot set, animated zoom by Maxim Vedenyov

output: avi or gif (mandelbrot set, zoom, fractal)

hf=figure1

mandelbrot.m

mandelbrot2.m

Mandelbrot set, vectorized, simple by Maxim Vedenyov

done with meshgrid function and complex numbers (fractal, mandelbrot, set)

mandelbrot.m

mandelbrot set by Sai Wing Man

Plots the mandelbrot set (fractal, fractals, chaos)

mandelbrot14(any)

Sliding Window Gen and usage with Higuchi Fractal Dimension (windowed HFD) by SUMANTH

SWG() is a multipurpose, segment generation tool based on input, window size, overlap size (higuchi, fractal, dimension)

HFD_LCALC( data,varargin)

SWG( data,W,O )

test.m

Simple Higuchi Fractal Dimension Implementation by SUMANTH

Calculate HFD method1 uses HFDCALC() which in turn uses split() method2 uses HFD_LCALC() (fractal, higuchi)

HFDCALC( data,varargin )

HFD_LCALC( data,varargin)

split(data,k )

Detrended Fluctuation Analysis by Guan Wenye

Detrended Fluctuation Analysis,fractal analysis (dear guan, detrended fluctuation..., order)

[D,Alpha1]=DFA_main(DATA)

output1=DFA(DATA,win_length,order)

Fractal curves by Jonas Lundgren

A collection of m-files to generate fractal curves in the complex plane. (mathematics, fractal, curve)

arrowhead(n)

dragon(n)

flowsnake(n)

sierpinski triangle by tim briet

fractal sierpinski (fractal, sierpinski)

sierpinski(height)

Julia by Andrew French

Become a cyber explorer and use Julia to navigate the Fractal world! (fractal, mandlebrot, julia sets)

C=make_colour_matrix(A,cmap,NaN_colour)

[width,height,xwidth,xc,yc,N,funcstr,...

julia(varargin)

Interactive fractal viewer for the Mandelbrot and Julia sets by Christopher

Mandelbrot and Julia set viewer with C subfunction with up to 1E10x zoom with pan enabled. (fractal, mandelbrot, mex)

main(varargin)

Windows Communication Foundation and Builder NE Type Safe APIs by Peter Webb

Code for the "Art of MATLAB" post - how to build web services with Builder NE. (wcf, windows communication..., type safe)

snowflake(n, width, height)

Fractal generation m-script suite by Artur Bernat

3 m-scripts are some extensions of the famous Sierpinsky Triangle. (fractals generation, fractal, random walk)

[M,VX,VY,VZ]=fern3D(szx,szy,szz,magnif,iter,nop);

[M,im_final]=fracthexagon(szx,szy,magnif,iter,nop,opts,dof,...

[M,im_final]=fractpentagram(szx,szy,magnif,iter,nop,opts,do...

Hausdorff (Box-Counting) Fractal Dimension by Alceu Costa

Returns the Haussdorf fractal dimension of an object represented by a binary image. (image processing, computer vision, fractal)

hausDim( I )

Wavelets and fractals: where the 2 techniques meet by Alexey Borovoy

In this submission a unique position of Haar wavelet in image processing is revealed. (haar, wavelet, fractal)

compare(N)

hwdt(x)

Multifractal Model of Asset Returns (MMAR) by Christian Wengert

Simulates a Multifractal Model of Asset Return using a multiplicative lognormal cascade (multifractal, mmar, fractal)

ffGn(N, Hinput, sigma, mu)

lognormal_cascade(b, k, v, ln_lambda, ln_theta)

mmar(b, k, H, ln_mu, ln_sigma)

Deploying Multiple Shared Libraries by Peter Webb

Example code for "Deploying Multiple Shared Libraries" post in the "Art of MATLAB" blog. (mandelbrot, fractal, libraries)

m=mandelbrot(width, iterations)

showimage(im)

Julia set boundary approximation with mouse control by Christopher

Displays the Julia set boundary approximation using inverse iteration. Mouse controllable. (julia, fractal, gui)

julia(varargin)

Quadratic Koch by Matthew Taliaferro

Plots and returns the coordinates of a quadratic Koch fractal. (fractal, koch, quadratic koch)

kochq(iter)

Fractal Stock Price Generator by Michael

This script file generates a fractal stock price graph. (economics, finance, stock)

fractal_stock_price.m

Mandelbrot fractal with (almost) infinite zoom by T.

Run the function, keep on zooming in, and enjoy the view. (fractal, mandelbrot, zooming)

mandelbrot

Nova Fractal by Ankur Pawar

Nova fractal,Glynn set fractal,other Julia set fractal . (nova fractal, fractal, graphics)

glynnset1.m

glynnset2.m

novafractal.m

Mandelbrot Set by Ambarish Jash

Generating a mandelbrot set (fractal)

mandelbrot()

Attractor by Ankur Pawar

Quadratic attractor,Clifford attractor,Peter De Jong generated using histogram method. (strange attractor, attractor, ifs)

clifford.m

peterdejong2.m

peterdejong4.m

Polynomiography of Newton method for one parameter cubic polynomial by Diyashvir Kreetee Rajiv Babajee

Generation of the polynomiography of the Newton's method for the one parameter cubic polynomial (newton, critical, fractal)

nc2.m

Fractal generator by Jakob Laugesen

Function to generate fractal structures Excellent for educational demonstrations. (fractal, sierpinski, menger)

hs=fractal(N,axiom,gen,cns,scal)

high resolution Mandelbrot set and Julia set ( 2000x2000 pixel ) by Ankur Pawar

Plot Julia set and Mandelbrot set in 2 seconds (julia set, mandelbrot set, fractal)

fractal5.m

juliaset3.m

Burning Ship fractal by Ankur Pawar

Plot burning ship fractal.This fractal is generated with a small change in Mandelbrot set. (fractal, burning ship fractal, ship)

burningship2.m

hilbert3(n) by Ivan Martynov

function [x,y,z] = hilbert3(n) computes 3D coordinates of points in n-th order Hilbert curve. (hilbert, fractal)

hilbert3(n)

Lyapunov Fractal by Ankur Pawar

This script plot Lyapunov fractal. (lyapunov fractal, fractal, lyapunov exponent)

lyapunovfractal2.m

Newton fractal by Ankur Pawar

These scripts generate 7 different Newton fractals. (fractal, newton fractal, 2d graphics)

newtonfractal.m

newtonfractal10.m

newtonfractal11.m

Wind Fern by Bill McKeeman

blowing version of Fractal Fern (gallery, fractal, blowing)

windfern(n, REPS)

2D Apollonian gasket with n identical circles by Guillaume JACQUENOT

Plot a 2D apollonian gasket with n identical circles (apollonian, circles, apollonius)

apollonian_2D(n,level,display_inversion_circle,...

Mandelbrot Set by Dr. Jens Koopmann

Nice and easy zoom to mandelbrot set (fractals, mandelbrot, fractal)

mandel101(varargin)

Mandel126 by Dr. Jens Koopmann

Animated Mandelbrot set (animation, colorcycling, gui)

[x,y,Zvalues]=dummy2(lowerR,higherR,lowerI,higherI,stepsR,M...

color_change(col,my_view,x,y,Zvalues,x_view,y_view,maxIter,...

colorcycling(view,x,y,Zvalues,x_view,y_view,MaxIter,light,a...

Mandel121 by Dr. Jens Koopmann

Cool tool to zoom into the Mandebrot Set. 2/3D images are supported. (fractals, mandelbrot, mathematics)

[x,y,Zvalues]=dummy2(lowerR,higherR,lowerI,higherI,stepsR,M...

color_change(col,my_view,x,y,Zvalues,x_view,y_view,maxIter,...

load_coordinates

Fractal visualisation of genomic sequences by Sam Roberts

Visualise n-mer nucleotide sequences using a fractal visualisation based on a Sierpinski gasket. (pharmaceutical, graphics, biotech)

nmervis(sequence,n,varargin)

nmervisdemo.m

Mandelbrot120 by Dr. Jens Koopmann

Lets you easily zoom into Mandelbrot set (2D/3D) (mathematics, mandelbrot, gui tools)

[x,y,Zvalues]=dummy2(lowerR,higherR,lowerI,higherI,stepsR,s...

color_change(col,my_view,x,y,Zvalues,x_view,y_view,maxIter,...

load_custom_cmap

boxcount by Frederic Moisy

Fractal dimension using the 'box-counting' method for 1D, 2D and 3D sets (fractal, boxcounting, dimension)

Computing a fractal dimension with Matlab: 1D, 2D and 3D Bo...

boxcount(c,varargin)

randcantor(p,n,d,varargin)

2D Apollonian gasket with four identical circles by Guillaume JACQUENOT

Plot a 2D apollonian gasket with 4 identical circles (gallery, apollonian, apollonius)

apollonian_2D_4(n,display_inversion_circle)

Hausdorff Dimension by the box counting method by Paul French

uses box counting method to calculate the degree of roughness of an input image (fractal, hausdorff dimension, box counting method)

Fractal dimension measurement.m

Attractors by Giampiero Campa

Nonlinear systems generating attractors. (attractor, attractors, chaos)

sfunxyz(t,x,u,flag,ax,varargin)

sfunxyzd(t,x,u,flag,ax,varargin)

Contents.m

3D Mandelbrot by Mithun Sridharan

3D visualization of Mandelbrot Fractal (graphics import, graphics export, fractal)

mandels(arg1,arg2)

Dragon Curve (aka Jurassic Park Fractal) by Joseph Kirk

Plots user specified variations of the Dragon Curve (fractals, dragon curve, jurassic park fractal)

DRAGON CURVE (aka JURASSIC PARK FRACTAL)

Fractal generator by Mahdi Heravi

this program generate sirpinski curve with matlab (fractals, sirpinski, fractal)

sir_pin()