下面这个函数大家都不会陌生,计算zernike函数值的,并根据此可以还原出图像来, 2aw&YZ&Xo
我输入10阶的n、m,r,theta为38025*1向量,最后得到的z是29525*10阶的矩阵, u%/fx~t$
这个,跟我们用zygo干涉仪直接拟合出的36项zernike系数,有何关系呢? g]c[O*NTL
那些系数是通过对29525*10阶的矩阵每列的值算出来的嘛? le +R16Z
5!YA o\S
n<sd!xmqFx
{rfF'@[
2kAx>R
function z = zernfun(n,m,r,theta,nflag) YJg,B\z}
%ZERNFUN Zernike functions of order N and frequency M on the unit circle. GZS1zTwBL
% Z = ZERNFUN(N,M,R,THETA) returns the Zernike functions of order N h&.wo !
% and angular frequency M, evaluated at positions (R,THETA) on the &AVpLf:?
% unit circle. N is a vector of positive integers (including 0), and T9)nQ[
% M is a vector with the same number of elements as N. Each element 'i;|c
% k of M must be a positive integer, with possible values M(k) = -N(k) )#|<w9uec
% to +N(k) in steps of 2. R is a vector of numbers between 0 and 1, <!-sZ_qq
% and THETA is a vector of angles. R and THETA must have the same KrVcwAcq|1
% length. The output Z is a matrix with one column for every (N,M) ih,%i4<}6m
% pair, and one row for every (R,THETA) pair. ~R$~&x