Linear Least Squares Fit

This function either displays Zernike polynomials over a circular, hexagonal, elliptical, rectangular or annular shaped pupil, or fits surface data to these pupil shapes. See Mahajan, V.N., G.-m. Dai, "Orthonormal polynomials in wavefront analysis: analytical solution," J. Opt. Soc. Am. A, Vol....

Performs polynomial fits that pass through a specified point (x0,y0).The application is to give a least squares fit that is 'exact' at a desired data point, e.g. an equilibrium point in a nonlinear equation of motion implemented via polynomial approximation. Discussion of theory included in...

polyfitweighted2.m and polyval2.m---------polyfitweighted2.m: Find a least-squares fit of 2D data z(x,y) with an n th order polynomial, weighted by w(x,y).polyval2.m: Evaluate 2D polynomial produced by polyfitweighted2.m.Usage polyfitweighted2-----P = polyfitweighted2(X,Y,Z,N,W) finds the...


Platforms: Matlab

CurveFitter program performs statistical regression analysis to estimate the values of parameters for linear, multivariate, polynomial, exponential and nonlinear functions. The regression analysis determines the values of the parameters that cause the function to best fit the observed data that...


Platforms: Windows, Other

CurveFitter performs statistical regression analysis to estimate the values of parameters for linear, multivariate, polynomial, exponential and nonlinear functions. The regression analysis determines the values of the parameters that cause the function to best fit the observed data that you...


Platforms: Windows, Windows 7, Other

CurveFitter performs statistical regression analysis to estimate the values of parameters for linear, multivariate, polynomial, exponential and nonlinear functions. The regression analysis determines the values of the parameters that cause the function to best fit the observed data that you...


Platforms: Windows, Windows 7, Other

DataFitting is a powerful statistical analysis program that performs linear and nonlinear regression analysis (i.e. curve fitting). DataFitting determines the values of parameters for an equation, whose form you specify, that cause the equation to best fit a set of data values. DataFitting can...


Platforms: Windows, Windows 7, Other

Performs computations associated with matrices, including solution of linear systems of equations (even least squares solution of over-determined or inconsistent systems and solution by LU factors), matrix operations (add, subtract, multiply), finding the determinant, trace, inverse, adjoint, QR...


Platforms: Windows

This is a fast and non-iterative ellipse fit. Usage: A = EllipseDirectFit(XY)Input: XY(n,2) is the array of coordinates of n points x(i)=XY(i,1), y(i)=XY(i,2) Output: A = [a b c d e f]' is the vector of coefficients of the equation of the best fitting ellipse: ax^2 + bxy + cy^2 + dx + ey + f =...


Platforms: Matlab

This is a robust and accurate circle fit. It works well even if datapoints are observed only within a small arc. This circle fit was proposed by V. Pratt in article "Direct least-squares fitting of algebraic surfaces", Computer Graphics, Vol. 21, pages 145-152 (1987). It is more stable than the...


Platforms: Matlab

Auto Gaussian & Gabor Surface fit---2 functions to fit a 2D Gaussian or 2D Gabor to a surface. The routines are automatic in the sense that they do not require the specification of starting guesses for the model parameters. This is done by evaluating the quality of fit (sum of squared error) for...


Platforms: Matlab

Excel add-in with eleven powerful worksheet functions for 1, 2 and 3 variable lookup and interpolation. Interpolation modes include: closest-value, linear, piecewise parabolic or hyperbolic, cubic spline and polynomial up to 20th order. The functions can also handle tables containing missing and...


Platforms: Windows

NMath Analysis contains classes for function minimization, root-finding, and linear programming. Product features include classes for minimizing univariate functions using golden section search and Brent's method, minimizing multivariate functions using the downhill simplex method, Powell's...


Platforms: Windows

LAPACK is a linear algebra library, based on LINPACK and EISPACK. LAPACK is written in Fortran77 and provides routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. The associated...


Platforms: *nix

Statistics::LTU is an implementation of Linear Threshold Units. SYNOPSIS use Statistics::LTU; my $acr_ltu = new Statistics::LTU::ACR(3, 1); # 3 attributes, scaled $ltu->train([1,3,2], $LTU_PLUS); $ltu->train([-1,3,0], $LTU_MINUS); ... print "LTU looks like this:n"; $ltu->print;...


Platforms: *nix

How to fit a 2D Gaussian function to noisy data in Matlab? Or data with another number of dimensions and arbitrary fit function?It took me a while to find out how Matlab does this by the functions lsqcurvefit, fmincon or fminsearch. This project demonstrates how to use these functions to fit ND...


Platforms: Matlab

LOWESS- Locally Weighted Scatterplot Smoothing that does not require the statistical toolbox in matlab.This regression will work on linear and non-linear relationships between X and Y.Modifications:12/19/2008 - added upper and lower LOWESS smooths. These additional smooths show how the...


Platforms: Matlab

Removes nonlinear trend from dataDETRENDNONLIN Removes non-linear trend from a vector.The nonlinearity is removed by subtracting a least-squarespolynomial fit.Y = DETRENDNONLIN(X) subtracts a second order polynomial fit fromthe data vector X.Y = DETRENDNONLIN(X, n) subtracts a polynomial fit of...


Platforms: Matlab

FindGraph is a comprehensive graphing, curve fitting, and digitizing tool. FindGraph offers 12 generic fits, including linear regression, logistic functions, fourier approximation, rationals, neural networks, B-splines and parametric curves least squares approximations, plus a library of over 300...


Platforms: Windows

The Bluebit .NET Matrix Library provides classes for object-oriented linear algebra in the .NET platform. It can be used to solve systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalues and eigenvectors problems, and singular value...


Platforms: Windows