采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: oWs&W
%Display the Zernike function Z(n=5,m=1) "D3JdyO_S
clc 5mER&SX
clear Cgq9~U !
a=5;%%%%%%%%%%Z的阶数下标 tHJ1MDw'
b=1;%%%%%%%%%%Z的阶数的上标 CdWGb[uI
x = -1:0.01:1; y"t5%Iv
[X,Y] = meshgrid(x,x); 8y|(]5
'r
[theta,r] = cart2pol(X,Y); A<>W^ow
idx = r<=1; O~'1)k>
z = nan(size(X)); 1;? L:A
z(idx) = zernfun(a,b,r(idx),theta(idx)); SB$~Btr
figure(1) BOt\"N
pcolor(x,x,z), shading interp `q$DNOrS
axis square, colorbar AuO%F
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xlabel('X'); xU@Z<d,k
ylabel('Y'); JN|<R%hy
title(['Zernike function Z^a_b','(r,\theta)']) 27u$VHwb
figure(2) QXXcJc~
mesh(x,x,z)
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xlabel('X'); M$! 0ikh
ylabel('Y'); >x!N[N@G
title(['Zernike function Z^a_b','(r,\theta)'])