Rotate the 3D point data about Z axis , and // OX OY

Question

ha ha 2018-11-24

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https://ww2.mathworks.cn/matlabcentral/answers/431656-rotate-the-3d-point-data-about-z-axis-and-ox-oy

评论： Uriel Angel 2021-3-3

采纳的回答： Bruno Luong

data.txt

Let's say: I have matrix A=[x y z] with ~60.000 point data . Please see attachment file, and figure:

Question: How can I rotate the 3D point data about Z axis , and // OX OY (as illustration)? Additional, we don't know the rotation angel. I do hope the result will be like below figure.

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Answer 1

Bruno Luong 2018-11-24

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https://ww2.mathworks.cn/matlabcentral/answers/431656-rotate-the-3d-point-data-about-z-axis-and-ox-oy#answer_348640

编辑：Bruno Luong 2018-11-24

在 MATLAB Online 中打开

xyz=load('data.txt');
xyzc = mean(xyz,1);
xyzr = xyz - xyzc;
[~,~,V] = svd(xyzr,0);
% Rotate 90°: so that the long size // to y_axis
V = V*[0 -1 0;
       1 0 0;
       0 0 1];    
xyzr = xyzc + xyzr*V;
close all
hold on
plot3(xyz(:,1),xyz(:,2),xyz(:,3),'.b');
plot3(xyzr(:,1),xyzr(:,2),xyzr(:,3),'.r');
axis equal
xlabel('x')
ylabel('y')
zlabel('z')
view(3)