How can I rotate an ellipse randomly

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Emma 2021-3-3

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/761026-how-can-i-rotate-an-ellipse-randomly

编辑： Walter Roberson 2021-3-3

This is what I have written so far

 t = linspace(0,2*pi)
 x = randn + randn*cos(t)
 rng('shuffle');
 y = randn + randn*sin(t);
 plot(x,y)

I want to create random rotation for this ellipse each time I plot it while keeping this same code I have written so far.

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Walter Roberson 2021-3-3

在 MATLAB Online 中打开

Well, that would be possible, but it would be significantly easier if you could modify your existing code to something like

t = linspace(0,2*pi)

t = 1×100

0 0.0635 0.1269 0.1904 0.2539 0.3173 0.3808 0.4443 0.5077 0.5712 0.6347 0.6981 0.7616 0.8251 0.8885 0.9520 1.0155 1.0789 1.1424 1.2059 1.2693 1.3328 1.3963 1.4597 1.5232 1.5867 1.6501 1.7136 1.7771 1.8405

xc = randn();

x = xc + randn*cos(t)

x = 1×100

1.1575 1.1582 1.1604 1.1641 1.1693 1.1759 1.1839 1.1933 1.2041 1.2161 1.2294 1.2439 1.2595 1.2762 1.2939 1.3126 1.3321 1.3524 1.3734 1.3950 1.4172 1.4398 1.4627 1.4859 1.5093 1.5327 1.5561 1.5794 1.6025 1.6253

rng('shuffle');

yc = randn();

y = yc + randn*sin(t);

plot(x,y)

axis equal

If you do that then it becomes easier to rotate around its center, which would be at the known point (xc, yc). But if you insist that the existing code must be kept as-is, then it becomes necessary to estimate xc and yc

Emma 2021-3-3

sorry one more question. I am very new to matlab so what exactly would you type to rotate randomly around (xc,yc)? And how do you inetgrate it into the code you wrote?

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