采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: 8D3|}z?
%Display the Zernike function Z(n=5,m=1) gXZl3
clc wWjZXsOd
clear [?z`XY_-
a=5;%%%%%%%%%%Z的阶数下标 UXpF$=
b=1;%%%%%%%%%%Z的阶数的上标 wq$+m(
x = -1:0.01:1; ~n9x
,
[X,Y] = meshgrid(x,x); a=n*}.
[theta,r] = cart2pol(X,Y); ,*_=w^;Rr
idx = r<=1; -JgN$Sf
z = nan(size(X)); <y4hK3wP
z(idx) = zernfun(a,b,r(idx),theta(idx)); <r 2$k"*:
figure(1) x_Y03__/
pcolor(x,x,z), shading interp }7)iLfi
axis square, colorbar G)~/$EF,_
xlabel('X'); !4Q0
ylabel('Y'); k# -u!G
title(['Zernike function Z^a_b','(r,\theta)']) .d
mUh-
figure(2) yR?S]
mesh(x,x,z) S9\_ODv
xlabel('X'); YU>NGC]}d
ylabel('Y'); Cn6<I {`\
title(['Zernike function Z^a_b','(r,\theta)'])