zernike3

Compute Zernike polynomials and coefficients of a Zernike fit with mutually consistent functions.

Description

Zernike polynomials are orthogonal on the unit circle and are commonly used in optics for phase aberrations.

  Use zernike_fcn3.m to generate Zernike polynomials. Input includes a vector of the desired polynomials; these do not have to be consecutive. Possible polynomial orderings include:
  'noll' = Bob Noll's original ordering
  'fringe' = Univ. of Arizona Zernike set
  'original'= original order of zernfun.m
  'default' = the 'fringe' (UofA) set + more terms
zernike_fcn3.m does consistency checking, selects the appropriate m & n values for a particular ordering and then calls zernfun.m to generate the polynomials.

  Use zernike_coeffs3.m to fit Zernike polynomial to an input function. Since zernike_coeffs3.m calls zernike_fcn3.m, these files are automatically consistent with each other, unlike some previous functions.

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
Zernike polynomials, Zernike Polynomial Coefficients for a given Wavefront using Matrix Inversion in Matlab

• MATLAB release: MATLAB 7.10 (2010a)

[Robin Martin]

fantastic