Orthogonal polynomials

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.

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 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.

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.
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