采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： B &?fM~J
%Display the Zernike function Z(n=5,m=1) &vCeLh:s
clc 2\VAmPG.Zs
clear {AOG"T&<
a=5;%%%%%%%%%%Z的阶数下标 q]px(
b=1;%%%%%%%%%%Z的阶数的上标 F\5X7 ditD
x = -1:0.01:1; & g:%*>7P
[X,Y] = meshgrid(x,x); A t{U~^
[theta,r] = cart2pol(X,Y); SSE3tcRRl
idx = r<=1; u?F (1iN =
z = nan(size(X)); 20aZI2sk`
z(idx) = zernfun(a,b,r(idx),theta(idx)); n@
4@,
figure(1) }|Uj"e
pcolor(x,x,z), shading interp RU0i#s uiz
axis square, colorbar Uo2+ :p
xlabel('X'); s`"O M^[-
ylabel('Y'); vQ 4}WtvA
title(['Zernike function Z^a_b','(r,\theta)']) U;g S[8,p
figure(2) Okpwh kPL5
mesh(x,x,z) Vo,[EVL
xlabel('X'); 'w(y
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ylabel('Y'); # :#M{1I
title(['Zernike function Z^a_b','(r,\theta)'])
