Euclidean and Affine Curve Reconstruction
Differential Geometry
2024-04-02 v3 Computer Vision and Pattern Recognition
Abstract
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.
Keywords
Cite
@article{arxiv.2201.09929,
title = {Euclidean and Affine Curve Reconstruction},
author = {Jose Agudelo and Brooke Dippold and Ian Klein and Alex Kokot and Eric Geiger and Irina Kogan},
journal= {arXiv preprint arXiv:2201.09929},
year = {2024}
}
Comments
This paper is a result of an REU project conducted at the North Carolina State University in the Summer and Fall 2020. This version has several minor corrections