采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: LgD{!
%Display the Zernike function Z(n=5,m=1) v;NZ"1=_
clc DftGy:Ah3
clear 1zEZ\G
a=5;%%%%%%%%%%Z的阶数下标 u"
NIG
b=1;%%%%%%%%%%Z的阶数的上标 g)|++?
x = -1:0.01:1; 5;i!PuL
[X,Y] = meshgrid(x,x); HK,G8:T
[theta,r] = cart2pol(X,Y); %I2xK.8=
idx = r<=1; el*pYI
z = nan(size(X)); &>wce5uV
z(idx) = zernfun(a,b,r(idx),theta(idx)); 7T(OV<q;#
figure(1) j@_) F^12
pcolor(x,x,z), shading interp ^|hRu{QW
axis square, colorbar zi DlJ3]^
xlabel('X'); o\:f9JL
ylabel('Y'); spoWdRM2
title(['Zernike function Z^a_b','(r,\theta)']) 9OO_Hp#|9
figure(2) $'mB 8 S
mesh(x,x,z) .]sIoB-54
xlabel('X'); PU/Br;2A
ylabel('Y'); lXL7q?,9
title(['Zernike function Z^a_b','(r,\theta)'])