Zernike polynomials
Zernike polynomials and functions (orthogonal basis on the unit circle).
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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 (2026). Zernike polynomials (https://www.mathworks.com/matlabcentral/fileexchange/7687-zernike-polynomials), MATLAB Central File Exchange. Retrieved .
Acknowledgements
Inspired by: showregions.m, quadcc
Inspired: Zernike decomposition, Zernike Polynomial Coefficients for a given Wavefront using Matrix Inversion in Matlab, zernike3, Fast computation of Zernike Radial Polynomials, Zernfun2a.m, showregions.m, quadcc, iahncajigas/nSTAT, Optical Point Spread Function generator (with aberrations)
General Information
- Version 1.3.0.1 (6.84 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
