multiplying matrices with an array in order to create a rotation matrix

Hi!

We are looking for a way to create a rotation matrix within a for loop.

matrixRy=(1-cos(hoeky))*matrixKy^2+sin(hoeky)*matrixKy+matrixI

The sizes of the variables are: hoeky: 1x1827 double matrixKy: 3x3 matrixI: 3x3

We would like to create 1827 different matrixRy with a size of 3x3. Is this possible?

Thanks in advance!

Kind regards

[KSSV]

You want to generate those many number of Rotation matrices? Rotate the given data by certain angle and get new data points?

[Lotte Stam]

Yes, we tried to make a axes that would move along with a movement. It looks like we already find a solution. Thanks for your respons anyway!

Answer 1

[Andrei Bobrov]

Ky = matrixKy^2;
h = reshape(hoeky,1,1,[]);
matrixRy = (1-cos(h)).*Ky + sin(h).*matrixKy + matrixI; % MATLAB >= R2016b
matrixRy = bsxfun(@plus,bsxfun(@times,(1-cos(h)),Ky) +...
              bsxfun(@times,sin(h),matrixKy), matrixI); % MATLAB <= R2016a