English

Fast and numerically stable circle fit

Computer Vision and Pattern Recognition 2022-10-13 v1

Abstract

We develop a new algorithm for fitting circles that does not have drawbacks commonly found in existing circle fits. Our fit achieves ultimate accuracy (to machine precision), avoids divergence, and is numerically stable even when fitting circles get arbitrary large. Lastly, our algorithm takes less than 10 iterations to converge, on average.

Keywords

Cite

@article{arxiv.1505.03795,
  title  = {Fast and numerically stable circle fit},
  author = {Houssam Abdul-Rahman and Nikolai Chernov},
  journal= {arXiv preprint arXiv:1505.03795},
  year   = {2022}
}

Comments

16 pages

R2 v1 2026-06-22T09:34:23.101Z