采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: h.t-`k7
%Display the Zernike function Z(n=5,m=1) HHsmLo c4
clc 4{`{WI{
clear ekCC5P!
a=5;%%%%%%%%%%Z的阶数下标 TRq6NB
b=1;%%%%%%%%%%Z的阶数的上标 @;RXLq/8
x = -1:0.01:1;
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[X,Y] = meshgrid(x,x); DR<9#RRD
[theta,r] = cart2pol(X,Y); vRO
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idx = r<=1; XOS[No~
z = nan(size(X)); =C.$
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z(idx) = zernfun(a,b,r(idx),theta(idx)); `W*U4?M
figure(1) '."ed%=MC
pcolor(x,x,z), shading interp z' >_Mc6
axis square, colorbar kPLxEwl
xlabel('X'); /I0%Z+`=
ylabel('Y'); y
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title(['Zernike function Z^a_b','(r,\theta)']) @I!0-OjL
figure(2) FJP-y5
mesh(x,x,z) Jz e:[MYS
xlabel('X'); R*2E/8Ia
ylabel('Y'); B0]~el
title(['Zernike function Z^a_b','(r,\theta)'])