rotate a 3D point aroudn an axis and get the X,Y,Z values of the rotated point

I have three othogonal axis defined as N_Plane1,N_Plane2,N_Plane3. I need to rotate a 3D point around one of the axis and then get the result.

N_Plane1=[-0.9823 -0.1851 0.0284]; N_Plane2=[ 0.1869 -0.9592 0.2120]; N_Plane3=[ -0.0120 0.2136 0.9768]

The point that I want to rotate is [374.9440 657.1367 -225.6085 ]

The origin of the axis is [400.1779 427.2031 -181.135]

Answer 1

[Matt J]

Easily done using this File Exchange submission

https://www.mathworks.com/matlabcentral/fileexchange/30864-3d-rotation-about-shifted-axis?focused=5191309&tab=function

As an example,

out=AxelRot([374.9440  657.1367 -225.6085 ].', angle,  N_Plane1, [400.1779  427.2031 -181.135])

[Matt J]

Jannie's answer converted to comment:

Thanks, I will give it a try.

Is it also possible to figure out at which angle the movement of the original point and the rotated point equals 1,5?

[Matt J]

You can use fzero to solve for a particular angle. Along the lines of

fzero(  @(angle) norm(AxelRot(Points,angle,_________)-Target)  , angleGuess)   

[Jannie Tillaart]

Thanks, but I don't understand how to fill it in, Could you create an example using the data of the original question? Movement of the point=1?

[Matt J]

Same as before

fzero(  @(angle) norm(AxelRot([374.9440  657.1367 -225.6085 ].', angle,  N_Plane1, [400.1779  427.2031 -181.135])-Target)  , angleGuess)