| oy87188 |
2019-04-11 18:15 |
zernike多项式的matlab编程表示图例
采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： JP2zom
%Display the Zernike function Z(n=5,m=1) q"|,HpQ
clc cK;,=\
clear Hqel1J
a=5;%%%%%%%%%%Z的阶数下标 y&HfF ~
b=1;%%%%%%%%%%Z的阶数的上标 oJcDs-!
x = -1:0.01:1; 4xg7 oo0iJ
[X,Y] = meshgrid(x,x); { *"I4
[theta,r] = cart2pol(X,Y); V t {uG
idx = r<=1; ]}3 AP!:
z = nan(size(X));
p97}HT}
z(idx) = zernfun(a,b,r(idx),theta(idx)); . C g2Y
figure(1) HAH v^
pcolor(x,x,z), shading interp Ag 3[Nu1
axis square, colorbar 9t.u9C=!F
xlabel('X'); QBg~b{h
ylabel('Y'); Q-3o k7
title(['Zernike function Z^a_b','(r,\theta)']) g:l5,j .K
figure(2) }=1#ANM1
mesh(x,x,z) `aj;FrF
xlabel('X'); U e>;h9^
ylabel('Y'); R6^U9 fDG
title(['Zernike function Z^a_b','(r,\theta)'])
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