برازش چند جمله ای زرنیک یک سطح تغییر شکل یافته – کامسول

This tutorial shows how the displacement field of a deformed surface can be fit to a Zernike polynomial basis. The method of linear least-squares fitting is made significantly easier when fitting to an orthonormal basis, such as the Zernike polynomials on a circle.

The displacement field is compared to the superposition of the piston, defocus, and spherical aberration terms with coefficients obtained via linear least-squares fitting. The remaining terms are negligible due to the symmetry of the displacement field.