采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: ZlV
%Display the Zernike function Z(n=5,m=1) t]c<HDCK
clc $e^"Inhtqp
clear ~Nh6po{
a=5;%%%%%%%%%%Z的阶数下标 X)g
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b=1;%%%%%%%%%%Z的阶数的上标 A#>wbHjWF
x = -1:0.01:1; ]+lT*6P*
[X,Y] = meshgrid(x,x); D@=]mh6vl
[theta,r] = cart2pol(X,Y); VPCI5mS_
idx = r<=1; ~z^l~Vyg?
z = nan(size(X)); 3
98)\3o
z(idx) = zernfun(a,b,r(idx),theta(idx)); !G%!zNA S
figure(1) iGW(2.Z
pcolor(x,x,z), shading interp ra^</o/
axis square, colorbar \e
a*
xlabel('X'); _KRnx-
ylabel('Y'); +U
fw
title(['Zernike function Z^a_b','(r,\theta)']) >=k7#av
figure(2) Q`CuZkP(
mesh(x,x,z) -]%EX:bm
xlabel('X'); -e_fn&2,Y
ylabel('Y'); ^!['\
title(['Zernike function Z^a_b','(r,\theta)'])