Fractal Interpolation

Kriging and inverse distance are popular interpolation methods, especially in earth sciences. There are some routines already available on matlab but are severely limited by matlabs memory constraints. By using gstat to handle interpolation and variogram modelling, very large datasets are easily...

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 background pixels so that its dimensions are a power of 2.2 - Set the box size 'e' to the size of...

Semi variance method and scaled windowed variance method for fractal time series analysis.Referernce: Evaluating scaled windowed variance methods for estimating the Hurst coefficient of time series Physica A: Statistical and Theoretical PhysicsVolume 241, Issues 3-4, 15 July 1997, Pages 606-626


Platforms: Matlab

This is a demo of MATLAB Excel Builder. This demo explains how one can compile MATLAB code into an Excel based COM component using MATLAB Excel Builder. This demo compiles a MATLAB code that depicts Univariate Interpolation into an Excel based COM component. Following this, it also explains how...


Platforms: Matlab

This is a demo program of the paper Ant colony optimization for wavelet-based image interpolation using a three-component exponential mixture model," Expert Systems with Applications, Vol. 38, No. 10, Sept. 2011, pp. 12514-12520.


Platforms: Matlab

% Fast nearest, bi-linear and bi-cubic interpolation for image data%% Usage:% ------% Z = ba_interp2(F, X, Y, [method])%% where method is one off nearest, linear, or cubic.%% F is a WxHxD Image with an arbitrary number of layers D.% X, Y are I_1 x ... x I_n matrices with the x and y coordinates...


Platforms: Matlab

This code was inspired by Alexander Huth's bilinear interpolation approach( http://www.mathworks.com/matlabcentral/fileexchange/20248 )also using the GPU's built-in bilinear texture interpolation capability, which is indeed very fast.The speedup is depending on your CUDA enabled graphics...


Platforms: Matlab

Piecewise Hermite cubic interpolation between 2 points knowing derivative valuesSyntax: y=p3hermite(x,pointx,pointy,yprime,plt)Wherepointx = data points of the independent variable (The points do not have to be equally spaced)pointy = data points of the dependent variable. pointy is the value of...


Platforms: Matlab

This matlab scprit calculates fractal dimension and intercept of a 3D volume along each redial line using Fourier analytical technique. Directionally averaged fractal dimension, intercept and Hedgehog plots of fractal dimension and intercept of each direction are given.


Platforms: Matlab

% 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 computer memory% considerably% It`s arguments:% Fraktal(n,r,phi,xb,yb)% n - number of iterations% r -...


Platforms: Matlab

This demo shows how you can create a COM component from a MATLAB code using MATLAB COM Builder and use the same in an external project independent of MATLAB. This demo compiles a function that uses MATLAB Interpolation capability into a COM component and uses it in an external Visual Basic...


Platforms: Matlab

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 fractal behavior.Reference:Benoit B. Mandelbrot, A Multifractal Walk down Wall Street, Scientific...


Platforms: Matlab

Syntax: ui=NewtFit(x,y,z,u,xi,yi,zi)3D interpolation. It may be used where griddata3 fails to find a triangularization of the datagrid (x,y,z). The function uses a modified 4 point Newton interpolation formula for vector arguments in 3D instread of scalars used in 1D. The interpolation is...


Platforms: Matlab

This is a solution of Hermite interpolation problem. example: A=[-1 2 -1 inf; 0 1 inf inf;1 -1 -1 8] x f(x) f'(x) f''(x) . . . A = -1 2 -1 Inf 0 1 Inf Inf 1 -1 -1 8 If you don't know the derive values, just write Inf. Use this command: difftable(A) And you can see the divided difference table,...


Platforms: Matlab

The Dragon Curve is a fractal that was made famous in Jurassic Park, a novel by Michael Crichton.This file calculates and plots the Dragon Curve. The user is encouraged to make their own variations of the fractal by experimenting with the following options:(1) Initial starting shape(2) Angle of...


Platforms: Matlab

iminterpn uses Image Processing Toolbox functions to implement multidimensional interpolation. Unlike the MATLAB function interpn, iminterpn can interpolate an integer array (such as uint8, uint16, etc.) without converting it to double.


Platforms: Matlab

This function performs interpolation faster than MATLAB's "interp1" function. In the limit of small library and search arrays, it is ~5x faster. In the limit of large library arrays, qinterp1 has a flat scaling, while interp1 has a linearly increasing scaling (see the image for this file)....


Platforms: Matlab

When interpolating a multivalued function (more than one y for each x), interp1 produces, at best, an error (if there are identical x data), and at worst, garbage (see the attached image). This function performs meaningful interpolation of a multivalued function, when the inverse (x = g(y)) is a...


Platforms: Matlab

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 while the modifying function modifies the surface to yield a 3D likesurface as can be expected...


Platforms: Matlab

[DIMENSION STANDARD_DEV] = fractalvol(DATA) calculates the fractal dimension of the 1 dimensional random walk, DATA. DATA is assumed to be a function of its indices. Finds fractal volatility by embedding in the unit square and box counting. Y axis will be rescaled values of DATA, x axis is...


Platforms: Matlab