Zernike polynomials

Zernike polynomials and functions (orthogonal basis on the unit circle).
Updated 1 Sep 2016

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ZERNFUN.m and ZERNFUN2.m compute the Zernike functions Znm(r,theta). These functions, which form an orthogonal basis on the unit circle, are used in disciplines such as astronomy, optics, optometry, and ophthalmology to characterize functions and data on a circular domain. ZERNPOL.m computes the Zernike polynomials Znm(r), which are the radial portion of the Zernike functions.
A MATLAB Digest article describing the use of the Zernike functions for analyzing optics data (using a LASIK surgery data as an example) also is available, on the File Exchange as a PDF,

and in HTML at:


Cite As

Paul Fricker (2024). Zernike polynomials (https://www.mathworks.com/matlabcentral/fileexchange/7687-zernike-polynomials), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2006b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes

Updated license

Removed an unneeded intermediate variable from the code.

Updated Help documentation and screenshot.

Need to point to a MATLAB Digest article which is based on this submission.