Generate uniformly distributed random rotation matrices in 2D and 3D. The 2D case is trivial. The 3D case is based on an algorithm described in Arvo 1992. This project does solve the problem it aims ...

For example, if you want to rotate an image by a certain angle, you can use a rotation matrix that has the cosine and sine of the angle as its elements. By multiplying the image vector by the ...

The chapter defines the general rotation matrix. An important application of the rotation matrix is to express the new coordinates of a vector after the vector itself has been yawed, pitched, and ...

This includes how vectors and linear operators are represented by matrices. Then, the direction cosine matrices and rotation matrices are defined and interpreted, and the direction cosine matrix ...