How can I rotate a set of points around an axis?

Hi everybody,

I have a question concerning a mathematical problem that I would like to solve.

If I have a Matrix 8x3, and like every line in the matrix describes a point, how can i rotate all the points in the matrix for example around the z axis?

I have tried it with a rotaionmatrix, but does that work? What does my code need to look like?

I'm sorry I don't really know how to do that. I have the following:

Above is the Code where I calculate the rotation matrix, and here is the set of points I would like to rotate:

Thanks a lot for your replies in advance, I'm glad for any help. I'm new to Matlab so I don't really know how to do this.

Have a nice evening,

Johnny

Answer 1

[James Tursa]

Arrange your points as column vectors and do a matrix multiply. E.g.,

result = rotmxXYZ * K.';

The result will have your points as column vectors also.

If you really need them in rows, then transpose result, or do this:

result = K * rotmxXYZ';

[Jonathan Babitsch]

That was easy, just didn`t pay attention to the rules of matrix multiplication...Thank you very much for your help James! I really appreciate it!

Have a nice day sir!