How to rotate 3D matrix?

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Florence 2021-5-11

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https://ww2.mathworks.cn/matlabcentral/answers/827170-how-to-rotate-3d-matrix

评论： Florence 2021-5-11

I have 3 matrices for surf commands: X, Y, Z. I transformed the matrix so that the surface rotates -45 degrees around the OY axis. But now my current code can make it rotate -45 degrees, but it deviates A (one edge of the surface)form a certain distance. Can someone help me improve my code to make the surface rotate with A as the axis?thank you very much!.

My code is below:

a=-45;

R=[cosd(a) sind(a);-sind(a) cosd(a)];

V=R*[X(:),Z(:)]';

X1=reshape(V(1,:),size(X));

Z1=reshape(V(2,:),size(Z));

surf(X1,Y,Z1);

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Answer 1

J. Alex Lee 2021-5-11

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https://ww2.mathworks.cn/matlabcentral/answers/827170-how-to-rotate-3d-matrix#answer_697200

it looks like your segment A is parallel to the axis OA (trivial in y-direction), in which case it should be easy to first translate such that A and OA coincide...then do your rotation, then untranslate to put A back where it belongs.

depending on what you need, this might be useful (disclaimer i have not used hgtransform before):

https://www.mathworks.com/help/matlab/creating_plots/rotate-about-an-arbitrary-axis.html