Making tilted and rotated periodic 2D arrays

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태신 김 2022-4-12

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1694700-making-tilted-and-rotated-periodic-2d-arrays

I'm studying DMD(digital micromirror device) mirror.

I made the tilted rhombic(45 degrees rotated square around the Z-axis) 2D arrays with rect function.

function[out] = rect(x);
out = abs(x)<=1/2;
end

clc; clear all; close all;
##
wx=0.9; %rect x half-width (m)
wy=0.9; %rect y half-width (m)
L=1; %side length x&y (m)
M=100; %samples/side length
dx=L/M; %sample interval (m)
x=-L/2:dx:L/2-dx; %x coordinates
y=x; %y coordinates
[X,Y]=meshgrid(x,y); %X and Y grid coords
DMDshape=rect(X/wx).*rect(Y/wy); %signal
##
Xlist = reshape(X,1,M^2);
Ylist = reshape(Y,1,M^2);
Zlist = reshape(DMDshape-1,1,M^2);
##
ListSet = [Xlist; Ylist; Zlist];
RotListSet =rotx(12)* rotz(45)*ListSet;
plot3(ListSet(1,:),ListSet(2,:),ListSet(3,:),'.b');
axis tight
hold on
plot3(RotListSet(1,:),RotListSet(2,:),RotListSet(3,:),'.r');
axis([-1, 1, -1, 1, -0.5, 0.5]);