采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： s.rS 06x
%Display the Zernike function Z(n=5,m=1) {=,?]Z+
clc q*ZjOqj
clear AX%9k
a=5;%%%%%%%%%%Z的阶数下标 5U[;T]{)e
b=1;%%%%%%%%%%Z的阶数的上标 [PrR 3 0:
x = -1:0.01:1; U"xI1fg%b
[X,Y] = meshgrid(x,x); PL8eM]XS
[theta,r] = cart2pol(X,Y); %xR;8IO
idx = r<=1; u +zq:2)H6
z = nan(size(X)); E YUr.#:
z(idx) = zernfun(a,b,r(idx),theta(idx)); I ,AI$A
figure(1) C /[2?[
pcolor(x,x,z), shading interp ~2~KcgPsq
axis square, colorbar #4''C s
xlabel('X'); odquAqn
ylabel('Y'); { >Y< !
title(['Zernike function Z^a_b','(r,\theta)']) nrA}36 E
figure(2) 5RTAM
mesh(x,x,z) /wCee G,<
xlabel('X'); >.#uoW4ZV
ylabel('Y'); 7BF't!-2F
title(['Zernike function Z^a_b','(r,\theta)'])
