# Euclidean and Affine Curve Reconstruction

arXiv: https://arxiv.org/abs/2201.09929 · HTML: https://mlsanity.com/paper/2201.09929/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 1 of its 30 references that are in the map.
- First posted on arXiv 24 Jan 2022.

## Builds on (most cited first, 1 of 1)

- [Non-congruent non-degenerate curves with identical signatures](https://mlsanity.com/paper/1912.09597/) (2019)

## Abstract (arXiv)

We consider practical aspects of reconstructing planar curves with prescribed Euclidean or affine curvatures. These curvatures are invariant under the special Euclidean group and the equi-affine groups, respectively, and play an important role in computer vision and shape analysis. We discuss and implement algorithms for such reconstruction, and give estimates on how close reconstructed curves are relative to the closeness of their curvatures in appropriate metrics. Several illustrative examples are provided.