How can I plot a 3D point and rotate it 180 degrees along one axis using the code I provided? I show reference image of what I want to achieve.

Question

Martin Omar Romero Casillas 2023-9-17

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2022102-how-can-i-plot-a-3d-point-and-rotate-it-180-degrees-along-one-axis-using-the-code-i-provided-i-show

编辑： Rangesh 2023-10-5

在 MATLAB Online 中打开

figure(1)

hold on

%grados de rotacion de cada eje

%solo en el eje y

for x=0:1:60

y=x*2;

z=0;

pause(.001)

o=[x,y,z];

o=o*(pi/60);

x=o(1);y=o(2);z=o(3);

A=[cos(y),0,-sin(y);0 1,0;sin(y),0,cos(y)];%%Rotacion en Y

B=[1,0,0;0,cos(x),sin(x);0,-sin(x),cos(x)];%%Rotacion en X

C=[cos(z),sin(z),0;-sin(z),cos(z),0;0,0,1];%%Rotacion en Z

U=A*B*C;

%%

Ci=[5,5,0]';

Cf=U*Ci;

Q=[0,0,0;Cf';0,0,0;Ci'];

hold on

plot3(Q(:,1),Q(:,2),Q(:,3),'black')

scatter3(Cf(1),Cf(2),Cf(3),'r')

view(90,0)

scatter3(Ci(1),Ci(2),Ci(3),100,'b','filled')

plot3([0,10,0,-10,0,0,0,0,0,0,0,0],...

[0,0,0,0,0,10,0,-10,0,0,0,0],[0,0,0,0,0,0,0,0,0,10,0,-10],'b')

scatter3(10,0,0,'g')%%Eje X

scatter3(0,10,0,'c')%%Eje Y

scatter3(10,0,10,'m')%%Eje Z

end

scatter3(Cf(1),Cf(2),Cf(3),100,'b','filled')

for i=1:8

text(Cf(1)+i,Cf(2),Cf(3),['P_{final}',num2str(i)],'VerticalAlignment','top')

hold off

end

Ci=[5,5,0]';

pitch_calc = -asin(Cf(3)*Ci(2))

pitch_calc = 9.1849e-15

yaw_calc = asind((Cf(3)*Ci(1))/cosd(real(pitch_calc)))

yaw_calc = -5.2625e-13

roll_calc = asind((Cf(1)*Ci(2))/cosd(real(pitch_calc)))

roll_calc = 9.0000e+01 - 2.2412e+02i

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Answer 1

Rangesh 2023-10-5

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2022102-how-can-i-plot-a-3d-point-and-rotate-it-180-degrees-along-one-axis-using-the-code-i-provided-i-show#answer_1326259

编辑：Rangesh 2023-10-5

在 MATLAB Online 中打开

Hello Martin,

I see that you're interested in rotating a 3D point along any axis. Here is the code that demonstrates how to achieve this:

figure(1)

hold on

%grados de rotacion de cada eje

%solo en el eje y

for x=0:5:180

%% Changes made in the given code

pause(.001)

Ci=[5,5,0]';

R=rotx(x);

Cf=R*Ci;

%%

Q=[0,0,0;Cf';0,0,0;Ci'];

hold on

plot3(Q(:,1),Q(:,2),Q(:,3),'black')

scatter3(Cf(1),Cf(2),Cf(3),'r')

view(90,0)

scatter3(Ci(1),Ci(2),Ci(3),100,'b','filled')

plot3([0,10,0,-10,0,0,0,0,0,0,0,0],...

[0,0,0,0,0,10,0,-10,0,0,0,0],[0,0,0,0,0,0,0,0,0,10,0,-10],'b')

scatter3(10,0,0,'g')%%Eje X

scatter3(0,10,0,'c')%%Eje Y

scatter3(10,0,10,'m')%%Eje Z

end

scatter3(Cf(1),Cf(2),Cf(3),100,'b','filled');

for i=1:8

text(Cf(1)+i,Cf(2),Cf(3),['P_{final}',num2str(i)],'VerticalAlignment','top');

hold off;

end

Here, I utilized the function "rotx" to generate a rotation matrix with a specified angle along the x-axis.
"Cf" represents the position of the point "Ci" after applying the rotation matrix.
Please note that I modified the loop to iterate based on degrees.
If you wish to rotate along any other axis, you can utilize functions such as "roty" and "rotz".

You can refer to the following documentation and link to understand the rotation of points:

I hope this resolves your query.

Thanks,

Rangesh.