Representations of 3D Rotations: Mathematical Foundations and Comparative Analysis
This paper presents a comprehensive analysis of various 3D rotation representations, focusing on their mathematical foundations and practical implications. Developers should pay attention to the findings, particularly the advantages of quaternions in terms of computational efficiency and compactness, which can significantly impact performance in graphics applications.
The study also discusses emerging methods such as 6D continuous representations and matrix Fisher distributions, which offer enhanced modeling of continuity and uncertainty. As the industry evolves, understanding these representations will be essential for improving techniques in animation, inertial navigation, and neural networks, making this research a valuable resource for developers aiming to stay ahead in the field.
“Quaternions dominate due to their compactness and computational efficiency.”
- what
- A comprehensive investigation of 3D rotation representations.
- who
- Authors: Aizierjiang Aiersilan, Haochen Liu, James Hahn.
- when
- Submitted on 17 Dec 2025.
- impact
- Highlights quaternions' efficiency, affecting graphics programming.
The findings provide valuable insights for improving 3D graphics techniques.
Discussion