Citing

If you use circle_bundles in academic work, please cite both the software and the main paper describing the underlying theory.

Software

Brad Turow and José A. Perea.
circle_bundles: Discrete Approximate Circle Bundles for Data Analysis
(version 0.1.0), 2026.
https://github.com/bradturow/circle_bundles

BibTeX:

@software{turow2026circlebundles,
  author    = {Turow, Brad and Perea, Jos\'{e} A.},
  title     = {circle\_bundles: Discrete Approximate Circle Bundles
               for Data Analysis},
  version   = {0.1.0},
  year      = {2026},
  url       = {https://github.com/bradturow/circle_bundles},
}

A CITATION.cff file is also provided in the repository for use with GitHub’s built-in citation feature.

Papers

The algorithms in this package are based on the following paper:

Discrete Approximate Circle Bundles Brad Turow, José A. Perea. arXiv preprint, 2025. arXiv:2508.12914

@article{turow2025discrete,
  author    = {Turow, Brad and Perea, Jos\'{e} A.},
  title     = {Discrete Approximate Circle Bundles},
  year      = {2025},
  eprint    = {2508.12914},
  archivePrefix = {arXiv},
  primaryClass  = {math.AT},
  url       = {https://arxiv.org/abs/2508.12914},
}

For results involving optical flow data (reproduced in the optical flow tutorial):

An Extended Topological Model for High-Contrast Optical Flow Brad Turow, José A. Perea. arXiv preprint, 2026. arXiv:2603.06853

@article{turow2026opticalflow,
  author    = {Turow, Brad and Perea, Jos\'{e} A.},
  title     = {An Extended Topological Model for High-Contrast
               Optical Flow},
  year      = {2026},
  eprint    = {2603.06853},
  archivePrefix = {arXiv},
  primaryClass  = {cs.CV},
  url       = {https://arxiv.org/abs/2603.06853},
}