Sampling point number in curved surface fitting with Zernike polynomials

In order to study the effects of sampling point number on fitting precision when fitting curved surface by Zernike polynomials, the method of inadequate induction was used to obtain the relation between sampling point number and fitting precision. The results show that fitting precision has little change when sampling point number reaches a specific number. The relation between sampling point number and Zernike polynomials term number was obtained by calculation and proved by practical example.