Quaternion Model

Quaternion models leverage the mathematical properties of quaternions—four-dimensional numbers extending complex numbers—to represent rotations and orientations in three-dimensional space, offering advantages in efficiency and expressiveness over traditional methods. Current research focuses on applying quaternion-based models to diverse areas, including robotics (e.g., motion planning and control), computer vision (e.g., image processing and pose estimation), and machine learning (e.g., neural network architectures and knowledge graph completion). These applications demonstrate the power of quaternions to handle complex data transformations and improve performance in various fields, particularly where efficient representation of rotations and orientations is crucial.