| 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： 2con[!U
%Display the Zernike function Z(n=5,m=1) `8I&7c
clc * 0|IXGr
clear .>mr%#p
a=5;%%%%%%%%%%Z的阶数下标 :LQ5 u[g$\
b=1;%%%%%%%%%%Z的阶数的上标 :{ur{m5bX
x = -1:0.01:1; dpFVN[\oK
[X,Y] = meshgrid(x,x); Cf:#( D
[theta,r] = cart2pol(X,Y); ]\x y\\b/`
idx = r<=1; qpsv i.S
z = nan(size(X)); N @#c,,
z(idx) = zernfun(a,b,r(idx),theta(idx)); h?f>X"*|(
figure(1) n':! ,a[
pcolor(x,x,z), shading interp GQl$yZaK{
axis square, colorbar DF
g,Xa#
xlabel('X'); .-IkL |M
ylabel('Y'); c1_5, 1U'
title(['Zernike function Z^a_b','(r,\theta)']) $YXMI",tt<
figure(2) r)1'e PI"
mesh(x,x,z) ;i"*Ll>Q)
xlabel('X'); :T._ba3|
ylabel('Y'); (lGaPMEU}
title(['Zernike function Z^a_b','(r,\theta)'])
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