[求助]ansys分析后面型數(shù)據(jù)如何進行zernike多項式擬合？ [復(fù)制鏈接]

小弟不是學(xué)光學(xué)的，所以想請各位大俠指點�。≈x謝啦 ^1VbH3M  
就是我用ansys計算出了鏡面的面型的數(shù)據(jù)，怎樣可以得到zernike多項式的系數(shù)，然后用zemax各階得到像差！謝謝啦！ }# Xi`<{  

可以用matlab編程，用zernike多項式進行波面擬合，求出zernike多項式的系數(shù)，擬合的算法有很多種，最簡單的是最小二乘法，你可以查下相關(guān)資料，挺簡單的

澤尼克多項式的前9項對應(yīng)象差的

非常感謝啊，我手上也有zernike多項式的擬合的源程序，也不知道對不對，不怎么會有 _>i|s|aW  
function z = zernfun(n,m,r,theta,nflag) r{Z[xWIX  
%ZERNFUN Zernike functions of order N and frequency M on the unit circle. k(v"B@0  
%   Z = ZERNFUN(N,M,R,THETA) returns the Zernike functions of order N 6ZOAmH fs  
%   and angular frequency M, evaluated at positions (R,THETA) on the -5xCQJ[  
%   unit circle.  N is a vector of positive integers (including 0), and NQR^%<hU  
%   M is a vector with the same number of elements as N.  Each element u}m.}Mws  
%   k of M must be a positive integer, with possible values M(k) = -N(k) Xl?YBZ}  
%   to +N(k) in steps of 2.  R is a vector of numbers between 0 and 1, (H1lqlVWV#  
%   and THETA is a vector of angles.  R and THETA must have the same 7V'Le2T'  
%   length.  The output Z is a matrix with one column for every (N,M)