Sales Toll Free No: 1-800-481-2338  Rotation Matrix to
Quaternion  TopRotation matrix is normally used in linear
Algebra. It can be defined as a matrix which can be used to find
rotation in Euclidean space. As following matrix will rotate the
points in anticlockwise direction by an angle 'θ' about the
origin in Cartesian plane of Cartesian coordinate system.
Orientations and rotations of objects in 3D are represented by
Unit quaternions. For this orientation Euler angles are not
suitable since they are not easier as compared to unit
quaternions in formulating problem of gimbal lock. Unit
quaternions are more efficient and stable as compared to that of
rotation matrices. Unit quaternions has use in field of computer
graphics, robotics molecular dynamics and orbital mechanics of
satellites. If we want to represent the rotation then unit
quaternions can be called rotation quaternions. Rotation
quaternions are also known as versors. Let’s try to understand
Rotation Matrix to quaternion conversion and vice versa.