# Zernike Polynomial Coefficients for a given Wavefront using Matrix Inversion in Matlab (Scripts) 1.0

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## Zernike Polynomial Coefficients for a given Wavefront using Matrix Inversion in Matlab (Scripts) Publisher's description

### Represent a wavefront as a sum of Zernike polynomials using a matrix inversion

Represent a wavefront as a sum of Zernike polynomials using a matrix inversion.
This function attempts to solve the a_i's in equation, phi(rho,theta) = SUM(a_i * Z_i(rho,theta), i=1 to M),
where the Z_i(rho,theta)'s are the Zernike polynomials from the zernfun.m file, phi is the wavefront to be represented as a sum of Zernike polynomials, the a_i's are the Zernike coefficients, and M is the number of Zernike polynomials to use.
Input: phi - Phase to be represented as a sum of Zernike polynomials that must be an nXn array (square)
(optional) M - Number of Zernike polynomials to use (Default = 12)
Output: a - Zernike coefficients (a_i's) as a vector Note: zernfun.m is required for use with this file. It is available here: http://www.mathworks.com/matlabcentral/fileexchange/7687

#### System Requirements:

MATLAB 7.5 (R2007b)
Program Release Status: New Release
Program Install Support: Install and Uninstall

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