Document: octave-optics-zernicke
Title: Calculation of the Zernike polynomials and their partial derivatives in Cartesian coordinates using the standard indexes OSA/ANSI
Author: José Ramom Flores das Seixas
Abstract: The zernikes_and_derivatives_cartesian_OSA function calculates
 the Zernike polynomials and their partial derivatives in Cartesian
 coordinates. For this purpose, it uses the algorithm described in
 reference Andersen (2018). However, it should be noted that
 in the cited article the author use unit-normalized Zernike polynomials
 arranged according to the azimuthal scheme set forth by Rimmer and
 Wyant (1975), while to implement the function has been used the
 OSA/ANSI standard notation described in references Thibos et al.
 (2002). This means the index scheme is different and, moreover, the
 polynomials are not unit-normalized but normalized to pi.
Section: Science/Mathematics

Format: PDF
Files: /usr/share/doc/octave-optics/zernikes_and_derivatives_cartesian_OSA.pdf.gz
