Aksevinkelrepresentasjonen

Aksevinkelrepresentasjonen, often translated as axis-angle representation, is a method in mathematics and computer graphics for representing a rotation in three-dimensional space. Instead of using matrices or quaternions, it describes a rotation by specifying an axis around which the rotation occurs and an angle by which it rotates. The axis is typically represented as a unit vector, ensuring that the direction is unambiguous. The angle specifies the magnitude of the rotation around that axis. This representation is intuitive and can be easily visualized. For example, a rotation of 90 degrees around the z-axis can be clearly understood using this method. While conceptually simple, performing sequences of rotations or combining them can be less straightforward than with other representations like quaternions. However, for many applications, its clarity and ease of interpretation make it a valuable tool. Converting between axis-angle and other rotation representations like rotation matrices or Euler angles is a common operation in computational geometry and robotics.