# Chebyshev to legendre conversion in matlab

The following Matlab project contains the source code and Matlab examples used for chebyshev to legendre conversion. Given a Chebyshev polynomial expansion where the coefficients are stored in a column vector, this script computes the expansion in terms of Legendre polynomials. Useful for spectral methods.

# Legendre to chebyshev conversion in matlab

The following Matlab project contains the source code and Matlab examples used for legendre to chebyshev conversion. Given a Legendre polynomial expansion where the coefficients are stored in a column vector, this script computes the expansion in terms of Chebyshev polynomials. Useful for spectral methods.

# Gegenbauer to chebyshev conversion in matlab

The following Matlab project contains the source code and Matlab examples used for gegenbauer to chebyshev conversion. Given a series of expansion coefficients in terms of Gegenbauer (Ultraspherical) polynomials, this script finds the corresponding Chebyshev coefficients for the same function. Useful for spectral methods.

# Chebyshev to gegenbauer conversion in matlab

The following Matlab project contains the source code and Matlab examples used for chebyshev to gegenbauer conversion. Given a series of expansion coefficients in terms of Chebyshev polynomials, this script finds the corresponding Gegenbauer (Ultraspherical)coefficients for the same function. Useful for spectral methods. This is a generalization on the Chebyshev-Legendre conversions.

# Calculate roots of chebyshev polynomials. in matlab

The following Matlab project contains the source code and Matlab examples used for calculate roots of chebyshev polynomials.. This function will calculate and optionally scale and translate the roots of a Chebyshev polynomial of type T_n(x) or U_n(x) of arbitrary degree.

# Compute zernike polynomials and coefficients of a zernike fit with mutually consistent functions. in matlab

The following Matlab project contains the source code and Matlab examples used for compute zernike polynomials and coefficients of a zernike fit with mutually consistent functions. . Zernike polynomials are orthogonal on the unit circle and are commonly used in optics for phase aberrations.

# Hermite polynomials in matlab

The following Matlab project contains the source code and Matlab examples used for hermite polynomials. Compute Hermite polynomials.

# Pseudo zernike functions in matlab

The following Matlab project contains the source code and Matlab examples used for pseudo zernike functions. The pseudo-Zernike functions are used for characterizing optical data, and for computing descriptors (pseudo-Zernike moments) from image data. They are used as an alternative to the conventional Zernike functions from which they are derived.

# Legendre polynomials in matlab

The following Matlab project contains the source code and Matlab examples used for legendre polynomials. The built-in legendre() calculates the Legendre polynomials calculated ALL the orders for a given degree.

# Legendre polynomials in matlab

The following Matlab project contains the source code and Matlab examples used for legendre polynomials. Instead of returning the value of a Legendre polynomial for specified values of x, this function returns the polynomial coefficients.

# Fast computation of pseudo zernike radial polynomials in matlab

The following Matlab project contains the source code and Matlab examples used for fast computation of pseudo zernike radial polynomials. Efficient computation of pseudo Zernike radial polynomials via their relation to Zernike radial polynomials.

# P recursive pseudo zernike polynomials in matlab

The following Matlab project contains the source code and Matlab examples used for p recursive pseudo zernike polynomials. The method is described after being corrected, in: M.

# Hermite polynomials in matlab

The following Matlab project contains the source code and Matlab examples used for hermite polynomials. Computes the Hermite polynomials of order N (positive integer(s)) at location(s) X (X real).

# Bessel polynomial linearization coefficients in matlab

The following Matlab project contains the source code and Matlab examples used for bessel polynomial linearization coefficients. Three simple functions generate linearization coefficients for Bessel polynomials.

# Legendre polynomial in matlab

The following Matlab project contains the source code and Matlab examples used for legendre polynomial . Function to calculate Legendre orthogonal polynomials; polynomial coefficients are also provided by the function. Input argument X can be of any dimension, but the function provides only the polynomial of requested order.

# Hermite polynomial h of ordder n and argument x in matlab

The following Matlab project contains the source code and Matlab examples used for hermite polynomial h of ordder n and argument x . Function to calculate the Hermite orthogonal polynomials H; polynomial coefficients are also provided by the function. Input argument X can be of any dimension, but the function provides only the polynomial of requested order.

# Jacobi polynomial for order n and argument x. in matlab

The following Matlab project contains the source code and Matlab examples used for jacobi polynomial for order n and argument x. . Function to calculate Jacobi orthogonal polynomials; polynomial coefficients are also provided by the function. Input argument X can be of any dimension, but the function provides only the polynomial of requested order.

# Laguerre polynomial for order n and argument x. in matlab

The following Matlab project contains the source code and Matlab examples used for laguerre polynomial for order n and argument x. . Function to calculate the Laguerre orthogonal polynomials; polynomial coefficients are also provided by the function. Input argument X can be of any dimension, but the function provides only the polynomial of requested order.

# Gegenbauer (ultraspherical) orthogonal polynomial in matlab

The following Matlab project contains the source code and Matlab examples used for gegenbauer (ultraspherical) orthogonal polynomial . Function to calculate Gegenbauer (ultraspherical) orthogonal polynomials; polynomial coefficients are also provided by the function. Input argument X can be of any dimension, but the function provides only the polynomial of requested order.

# Chebyshev to jacobi conversion in matlab

The following Matlab project contains the source code and Matlab examples used for chebyshev to jacobi conversion. Given a Chebyshev polynomial expansion where the coefficients are stored in a column vector, this script computes the expansion in terms of Jacobi polynomials. Useful for spectral methods.

# Jacobi to chebyshev conversion in matlab

The following Matlab project contains the source code and Matlab examples used for jacobi to chebyshev conversion. Given a Jacobi polynomial expansion where the coefficients are stored in a column vector, this script computes the expansion in terms of Chebyshev polynomials. Useful for spectral methods.