aksevinkelrepresentasjoner

Akssevinkelrepresentasjoner, or axis-angle representations, are a way to describe the orientation of an object in three-dimensional space. This representation consists of two parts: a unit vector indicating the axis of rotation and an angle representing the magnitude of rotation around that axis. Imagine you have a rigid body. To specify how it's oriented, you can pick a line in space (the axis) and then say how much you need to rotate the body around that line to reach its current orientation from a reference position. The axis is typically represented by a 3D vector with a magnitude of 1 (a unit vector), ensuring that only the direction of rotation is encoded. The angle is usually measured in radians or degrees. This method is particularly useful in fields like robotics, computer graphics, and physics, where precise control and description of rotations are essential. Compared to other orientation representations like Euler angles, axis-angle representations can avoid certain issues such as gimbal lock, making them a robust choice in many applications. However, they are not always the most computationally efficient for certain operations like composing rotations.