采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: R(/[NvUb
%Display the Zernike function Z(n=5,m=1) @q{:Oc^
clc qtdxMX]iR
clear ^Z-.[Y
a=5;%%%%%%%%%%Z的阶数下标 C:s^s
b=1;%%%%%%%%%%Z的阶数的上标 /H jI=263
x = -1:0.01:1; {?
K|(C
[X,Y] = meshgrid(x,x); 9&XV}I,~?|
[theta,r] = cart2pol(X,Y);
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idx = r<=1; TRySl5jx@
z = nan(size(X)); @wEKCn|}o
z(idx) = zernfun(a,b,r(idx),theta(idx)); s`Be#v
figure(1) A4#3O5kij
pcolor(x,x,z), shading interp 3lLW'g&=
axis square, colorbar
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xlabel('X'); s.p1L
ylabel('Y'); _Qm7x>NT4
title(['Zernike function Z^a_b','(r,\theta)']) `uNvFlP
figure(2) y?*[}S
mesh(x,x,z) _>jrlIfc
xlabel('X'); A"\P&kqMV
ylabel('Y'); t-eKruj+
title(['Zernike function Z^a_b','(r,\theta)'])