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Returns the Haussdorf fractal dimension of an object represented by a binary image.

Returns the Haussdorf fractal dimension D of an object represented by the binary image I. Nonzero pixels belong to an object and 0 pixels constitute the background.Algorithm:1 - Pad the image with

Generates randomly rough fractal surfaces with different fractal (Hurst) parameters

large-scale topography of mountains, terrains or landscapes. The code is based on simulating the surface topography/roughness by means of fractals. It uses the Fourier concept (specifically the power spectral

Fast Box-Counting Fractal Dimension calculation

This code is another implementation of the Box-Counting Fractal Dimension calculation from the original implementation by Alceu Costa

Creation of fractal curves, surfaces, & volumetric density as well as techniques to measure 1D, 2D, and 3D fractal dimension and fractalness

Midpoint Displacement Method (original algorithm for 3D and 2D)Fractal Zooming of images Infinite Fractal Zooming of Fractal SurfacesSpectral Synthesis of 1D, 2D, and 3D fractalsMeasure Fractal

Bearable algorithm which provides a Sierpinski Fractal Triangle image.

This function provides a bearable algorithm for generating a fractal image, in particular, the Sierpinski Triangle. The function opens a new figure and plots the result for a given number of

Two of the major fractal dimension measures: Higuchi and Katz

In the file I offer the source code of:* Higuchi Fractal Dimension (HFD)* Katz Fractal Dimension (KFD)The source code is properly commented in English.Any comment or suggestion is

This function calculate fractal dimension of a fractal surface by fourier transform.

FDSURFFT computes fractal dimension (slope) of surface image im and draw rose plots of slope and intercept.

Generating a pixel- by pixel fractal dimension image using box counting algorithm

The fractal dimension (FD) image is generated by considering each pixel in the original CT image as a single fractal dimension estimated from its 7x7 neighbours. The FD generated image remarkably

Generating fractals through IFS & Chaos Game. Julia sets & Mandelbrot set.

Program for generating fractals through Iterated Function System (IFS) and Chaos Game. This program has also the possibility to read IFS from file. Moreover it draws Julia Sets and Mandelbrot Set.The

VARINDX calculates the variation index and fractal dimension of a financial time series.

. VINDX is the variation index of the data. FRACDIM is the fractal dimension of the data. V_SIGMA is the variation with interval size sigma. SIGMA is the actual interval size. Units of sigma is index

Function generates Mandelbrot set and Julia set fractal.

Simple MATLAB functions that generates Mandelbrot set and Julia set fractal quickly. There are 24 different types of Julia set with different color maps. Running the code will show as well as save

The MATLAB implementation of diamond-square algorithm to create fractal landscapes.

This is a small MATLAB function to generate a fractal landscape by using diamon-square algorithm. The algorithm is actually very old but I learned it on the Paul Martz's "Generating Random Fractal

Please run this demo file to generate three different types of surfaces (1) Fracal surface (2) Sinusoidal surface (3) Random surface

papers:% [1]Y. Chen and H. Yang, Numerical simulation and pattern characterization of% nonlinear spatiotemporal dynamics on fractal surfaces for the whole-heart modeling% applications, European Physical

FRactal code

Version 1.0.0.0

by Dhanesh A

fractal dimensioning

code for fractal dimensioning

Newton fractal

Version 1.3.0.0

by Ankur Pawar

Function for generating Newton fractal.

Very simple function that can generate 12 different type of Newton fractal. newtonFractalRGB.m can generate RGB images.

The whole Chaos in a single program.

Fractal ExplorerGUI-based program for exploring and studying the most common form of fractals, chaotic systems and fractional dimension systems. An overview of the features with a small introductory

Matlab Fractals

Version 1.0.0

by Ave

Quick and dirty MatLab function for Julia and Mandelbrot Sets

apps work quite well for people who just want to play with fractals.

Access the OpenGL rendering pipeline directly from matlab

153653](https://user-images.githubusercontent.com/93832337/145102580-b2fb868e-75fd-4325-886f-e94005ad60fd.png)### Fractal Viewer Example![Screenshot 2021-12-07

3D fractal moutain construction algorithm with step by step display.

3D fractal moutain construction algorithm with step by step display.

Program files from MATLAB Guide, Third Edition

Companion Software

Companion Software

Generating curves in a fractal way

Program for generating curves (Bezier, Chaikin) in a fractal way. Moreover program can draw every shape described with help of Bezier or Chaikins curves. To run this program just type "curves" and

a 3d fractal kleinian sphere using 8 "letters"

This small function is used for generation and visualisation of fractal trees

% This function allow you to bild fractal trees% by using modified algorithms based on the so-called Kantor`s array% and method of inverse trace% These methods allow you to economise time and

This is a set of functions to analyse the geometry of particle aggregates in black and white binary images.

area vs. perimeter plots for fractal particle aggregates. Note, the perimeter is determined by expanding the clusters by 1 pixel in every direction, not by the default MATLAB routine.conn_finder.m - this

A novel and powerful metaheuristic algorithm that you can always rely on it

This code is the presentation of a new algorithm with new insight into solving optimization problems based on diffusion property turned up in fractals. This algorithm is able to achieve a solution

it is proposed an efficient approach for compression microarray images. It is utilized a hybrid wave

Generating a fractal dimension image using box counting algorithm

The program transforms an input image using the differential box counting algorithm to a fractal dimension (FD) image, i.e. each pixel has its own FD. Then the user can select any region of interest

Toolbox containing files and app from Numerical Computing with MATLAB

Run the function, keep on zooming in, and enjoy the view.

Because of today's news, I read a bit on Wikipedia on Mandelbrot fractals. Of course I couldn't resist implementing the code I saw in Matlab. I kept zooming and updating the figure, until I figured

This small function is extension of previous one for 3D case

% This function allow you to build 3D-fractal trees% by using modified algorithms based on the so-called Kantor`s array% and method of inverse trace% These methods allow you to economise time and

Generate UMF 2D random field. Simulate DEMs, clouds, turbulent fields.

Generation of a stocastic 2D multi-fractal random fieldCan be used to simulate DEM, turbulent fields (clouds etc)Include the generation of Levy noise.Based on:Lovejoy - Schertzer "Nonlinear

FDB-SFS

Version 1.0.1

by Sefa Aras

A novel Stochastic Fractal Search Algorithm with Fitness-Distance Balance for Global Numerical Optimization

A novel Stochastic Fractal Search Algorithm with Fitness-Distance Balance for Global Numerical OptimizationPlease click for the article

This Matlab code can compress true color or gray-scale images using Fractal Image Compression

This Matlab code can compress true color or gray-scale images using Fractal Image Compression technique in gray scale. Also, you can use GPU for the acceleration. This code uses fixed S value

boxcount

Version 1.0.0.0

by Frederic Moisy

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

BOXCOUNT Box-Counting of a D-dimensional array (with D=1,2,3).The Box-counting method is useful to determine fractal properties of a1D segment, a 2D image or a 3D array. If C is a fractal set, with

Fractal Illustration

A fractal can be loosely defined as a shape that repeats itself to create larger and seemingly complex designs.

hctsa

Version 1.9.0.0

by Ben Fulcher

Highly comparative time-series analysis

Gets the coordinates of kocks snowflake and creates the poygone in femlab3.0.

A offer a function to compute the Margaos-Sun fractal dimension measure.

I offer a function to compute the Margaos-Sun fractal dimension measure. The original paper is: 'Measuring the Fractal Dimension of Signals: Morphological Covers and Iterative Optimization'.The code

Apps from Experiments with MATLAB

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

fractree.m

Version 1.0.0.0

by Stephen Battey

Draw fractal trees generated from a given angle, distance factor and 'number of branches'.

Script to draw fractal trees generated from a given angle, distance factor and 'number of branches'.'number of branches' - indicates how many child branches are born from each parent branch

RETIMAT

Version 1.0.0

by David Romero

A MATLAB toolbox for retinal image analysis

(GLCM, LBP, fractal dimension...)How to get startedClone the repositoryClick on the green Code buttonSelect Download ZipRun startup.m to add RETIMAT to the MATLAB pathTake a look into the

Fractal Fern

Version 1.0.0.0

by Brian Mearns

Compute and display a pseudo-random collectin of points resembling a fern

run the script M-File as is, and it will compute a set of 10,000 points, which, when plotted as individual points, resemble a fern and a fractal.Each point starts from a random seed, then translates

Companion Software.

Compute wavelet scale spectra from segmented discrete wavelet transform (Screenshot).

The segmentation-based fractal texture analysis is used to classify different image textures.

In this project, a segmentation-based fractal texture analysis is used to classify different image textures.The extraction algorithm consists in decomposing the input image into a set of binary

PI3MFT

Version 1.1

by Nicolas Douillet

Printable Iterative 3D Meshed Fractal Toolbox

Mandelbrot and Julia set viewer with C subfunction with up to 1E10x zoom with pan enabled.

Julia set, use main('FractalType','Julia').The function main also accepts other Parameter-Value pairs. For the list of all properties, see the function header.Future additions include adding a GUI to

alceufc/sfta

Version 1.5.0.0

by Alceu Costa

Implementation of the SFTA algorithm for texture feature extraction.

Extract texture features from an image using the SFTA (Segmentation-based Fractal Texture Analysis) algorithm. To extract features, use the sfta(I, nt) function, where I corresponds to the input

This toolbox offers 40 feature extraction methods (EMAV, EWL, MAV, WL, SSC, ZC, and etc.) for Electromyography (EMG) signals applications.

A function which plots Classical Fractals.

ClassicalFractals.mA function which plots the following Classical Fractals:-[1] Koch Curve.[2] Sierpinski Gasket.[3] Sierpinski Carpet.Tested under MATLAB 5.3.

This code generates a small mound like fractal surface.

This above Fractal code generates a small fractal mound in using the basic trigonometric operations. This involves a basic logic of an exponential surface that modifies the vector along the XY plane

Fractal landscape

easily generate a fractal landscape with this code.

The code is for finding the fractal dimension using the traditional box-counting method.

Its based on the traditional box-counting method for finding the fractal dimension of an image. The code is just for beginners for getting an idea of how the box-counting is done.

Koch.m

Version 1.0.0.0

by Salman Durrani

A function which plots the 'Koch curve' fractal.

A function which plots the 'Koch curve' fractal.Tested under MATLAB 5.3

Quadtree decomposition and Huffman techniques can be applied for achieving high compression ratio

feasible. In such cases Fractal compression of images is an efficient method of compression Fractal image compression can be obtained by dividing the original grey level image into unoverlapped blocks

Interface for generating fractals using the rules of chaos game.

This application provides an environment for the generation and visualization of fractal shapes using the "Chaos Game" method. Run the Chaos_Game_GUI.m and choose all the parameters.

This script file generates a fractal stock price graph.

This script implements Mandelbrot's method for generating realistic stock price graphs based on a simple fractal rule. It keeps subdividing the graph by three and adding a "generator" to create

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