Polynomial Interpolation

Colormap is based on the colors used by W. F. Haxby's Gravity field of World's oceans, 1985, developed for geoid and gravity maps. The version used here is formed from a linear interpolation of the GMT color table used by MB-System by David W. Caress and Dale N. Chayes...

B-splines is a natural signal representation for continous signals, wheremany continous-domain operations can be carried out exactly once theB-spline approximation has been done.The B-spline estimation procedure in this toolbox using allpole filtersis based on the classic papers by M. Unser and...

This mdf-import function is a modification of Stuarts MDF import tool. A resampling functionality to a unique time signal has been added to allow easy access to all signals and simplify plotting and other analysis with a comon time vector. The help file also shows a possibility to shorten all...


Platforms: Matlab

The Estimate Missing Climate Data Tool (EMCD) stands as a comprehensive solution designed to address and fill gaps in climate data, ensuring a robust and accurate dataset for comprehensive analysis. EMCD incorporates advanced techniques to overcome missing values, utilizing neighboring stations...


Platforms: Windows, Windows 8, Windows 7, Windows Server

% Polynomial Interpolation Problem: Lagrange Form% x and y are vectors with the same dimensions% Given n points: (x_k,y_k) k = 1,2,...n% this function finds a polynomial P(x) of degree less% than n such that P(x_k) = y_k% --% Remarks:% The resulting polynomial is displayed in symbolic notation%...


Platforms: Matlab

This function allow you to perform 2d interpolation for matlab code that have to be compiled to C.


Platforms: Matlab

POLYCOMP Polynomial compositionR = POLYCOMP(P,Q) returns the composition of Q(P(x)) given polynomials P and Q with coefficients in descending order. If Q is a scalar, with value N, it assumes shorthand notation for Q(x)=x^N. Output is a polynomial with coefficients in descending order. Example:%...


Platforms: Matlab

A given polynomial p(x) is transformed into a rational function r(x). The poles and residues of the derived rational function are found to be equivalent to the roots and multiplicities of the original polynomial. p(x) = Given polynomial = PROD[k=1:K]{(x - z_k)^m_k} d(x) = (d/dx)p(x) g(x) =...


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

It performs piecewise parabolic interpolation and approximated calculation of first and second derivative at the interpolation point.


Platforms: Matlab

The code implements the so called Faddeev-Leverrier algorithm to compute the coefficients of the characteristic polynomial of a given matrix and to get the inverse of the matrix without extra cost.


Platforms: Matlab

[coef, RSquared]=plotfit(x,y,polyorder)A simple function that accepts x,y data pairs in in the vectors "x" and "y", fits it to a polynomial of order "polyorder", plots the data and the fit, and displays the fit coefficients and the goodness-of-fit measure R-squared in the upper left corner of the...


Platforms: Matlab

This program estimates the background (or baseline) of optical spectra by the polynomial minimizing a cost function. If the cost function was quadratic, the solution is the least squares estimation, which is not appropriate in this problem. Instead, we need to use of non-quadratic cost function...


Platforms: Matlab

When drawing financial time series from various markets, one usually needs to make some adjustments before evaluating the series. One of the major concerns is that due to different national holidays or working days across countries, the dates happen to be not synchronized. Clearly this could make...


Platforms: Matlab

This function implements a method of using genetic algorithms to optimise the form of a polynomial, i.e. reducing the number of terms required in comparison to a least-squares fit using all possible terms, as described in the following paper:Clegg, J. et al, "The use of a genetic algorithm to...


Platforms: Matlab

Medical Image Reconstruction using Filtered Back Projection.Matlab code (GUI) + 4 Sinograms for testing/demonstrations.Can be used as a laboration to compare different numbers of projections, filters and interpolation methods.


Platforms: Matlab

The definition of Cluster Polynomials was given in Tech. Report DEMO2011/1 available athttp://cag.dat.demokritos.gr/publications/TR2011-1.pdfThere are two versions.binroots that was used to produce the images of the last four figures in the report above and a more advanced version that can be...


Platforms: Matlab

provide an alternative for Savitzky-Golay smoothing filterThe function smooths a input vector using Savitzky-Golay smoothing filter based on the degree of polynomial and the length of moving windows


Platforms: Matlab

This function makes it easy to translate a 2d image or 3d volume. The shifts do not need to be integer values.It was written so I could test image registration algorithms.Help:function Iout = imtranslate(I, translation, F, method, same_size)%SCd 12/21/2009%Affine translates a 2D or 3D...


Platforms: Matlab

Provides linear and quadratic interpolation methods for functions defined on scattered 2D datasets.The quadratic method in tinterp seems to be superior when compared to the cubic method in gridata.Type "help tinterp" & "help tester"


Platforms: Matlab