bluedream1121 / so3_distribution_visualization

Geek Repo:Geek Repo

Github PK Tool:Github PK Tool

Visualize distributions on SO(3) manifold

Visualization of matrix Fisher distribution

Visualization of matrix Fisher distribution

We implement the visualization via color coding on a 2-sphere. This method was proposed in [1] and first used in [2]. However, we did not find the released code on this visualization.

This implementation was used in [3] (Project page). Please consider citing [3] if you find this implementation helpful.

This implementation may not be perfect. Feel free to raise issues if you have better ideas.

@article{yin2023laplace,
  title={A Laplace-inspired Distribution on SO(3) for Probabilistic Rotation Estimation},
  author={Yingda Yin, Yang Wang, He Wang and Baoquan Chen},
  journal={International Conference on Learning Representations (ICLR)},
  year={2023}
}

[1] Taeyoung Lee. Bayesian attitude estimation with the matrix fisher distribution on so (3). IEEE Transactions on Automatic Control 2018.

[2] David Mohlin et al. Probabilistic orientation estimation with matrix fisher distributions. Advances in Neural Information Processing Systems 2020.

[3] Yingda Yin et al. A Laplace-inspired Distribution on SO(3) for Probabilistic Rotation Estimation. International Conference on Learning Representations 2023.

About


Languages

Language:Python 100.0%