Rotate an axis in two-dimensional or three-dimensional space
A rotation matrix is a matrix used to rotate an axis about a given point. The center of a Cartesian coordinate frame is typically used as that point of rotation. Rotation matrices are used for computations in aerospace, image processing, and other technical computing applications.
The revolution of a rotation matrix is often described with Euler angles, but can also be described in vector form using quaternions. Although there are many methods to perform a rotation, the most prevalent are based on directional cosine matrices and quaternions.
Common tasks include::
- Performing 2D and 3D rotations using a single function call
- Converting between quaternion vectors and rotation matrices
- Actively using matrix operations for rotation in simulation
Examples and How To
- Creating a Stewart Platform Model Using SimMechanics (Article)
- Rotate an Image (Example)
- Use Group Objects to Apply a Rotation Matrix (Example)
- Representations of Body Orientation in Simscape Multibody (Example)
Software Reference
- Aerospace Toolbox (Product)
- Convert Rotation Angle to Quaternion (Function)
- Rotation Angles to Direction Cosine Matrix (Block)
- Create 4-by-4 Transform Matrix (Function)
See also: Euler angles, quaternion, Monte Carlo simulation, MATLAB apps, image transform, linearization, Aerospace Blockset, Aerospace Toolbox, Image Processing Toolbox, Simscape Multibody, Symbolic Math Toolbox
