背景介绍

在matlab中生成多频外差的光栅图像，其中3种频率的选择参考如下文献：
Liu S , Feng W , Zhang Q , et al. Three-dimensional shape measurement of small object based on tri-frequency heterodyne method[C]// 2015 International Conference on Optical Instruments and Technology: Optoelectronic Measurement Technology and Systems. International Society for Optics and Photonics, 2015.
$${\lambda }_1=\frac{1}{s-\sqrt{s}},{\lambda }_2=\frac{1}{s},{\lambda }_3=\frac{1}{s+(\sqrt{s}+1)}$$

代码段

% 生成三频四步条纹光栅图案，创建一个generatePic的文件夹存放生成图像
clc,clear;
width = 1280;
height = 720;
% 垂直条纹
Iv = zeros(height,width,12);
Ia = 150;
Ib = 100;
s = 36;
f = [s+sqrt(s)+1,s,s-sqrt(s)];
f = f/width;
for j=1:width
for k=1:3
Iv(:,j,(k-1)*4+1) = round(Ia+Ib*cos(2*pi*f(k)*(j-0.5)+0*pi/2));
Iv(:,j,(k-1)*4+2) = round(Ia+Ib*cos(2*pi*f(k)*(j-0.5)+1*pi/2));
Iv(:,j,(k-1)*4+3) = round(Ia+Ib*cos(2*pi*f(k)*(j-0.5)+2*pi/2));
Iv(:,j,(k-1)*4+4) = round(Ia+Ib*cos(2*pi*f(k)*(j-0.5)+3*pi/2));
end
end
for n=1:12
strNum = num2str(n);
filename = ['generatePic',strNum,'.bmp'];
imwrite(uint8(Iv(:,:,n)),filename);
end
% 水平条纹
Ih = zeros(height,width,12);
s = 25;
f = [s+sqrt(s)+1,s,s-sqrt(s)];
f = f/height;
for i=1:height
for k=1:3
Ih(i,:,(k-1)*4+1) = round(Ia+Ib*cos(2*pi*f(k)*(i-0.5)+0*pi/2));
Ih(i,:,(k-1)*4+2) = round(Ia+Ib*cos(2*pi*f(k)*(i-0.5)+1*pi/2));
Ih(i,:,(k-1)*4+3) = round(Ia+Ib*cos(2*pi*f(k)*(i-0.5)+2*pi/2));
Ih(i,:,(k-1)*4+4) = round(Ia+Ib*cos(2*pi*f(k)*(i-0.5)+3*pi/2));
end
end
for n=1:12
strNum = num2str(n+12);
filename = ['generatePic',strNum,'.bmp'];
imwrite(uint8(Ih(:,:,n)),filename);
end

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