Paper ID: 2201.09929

Euclidean and Affine Curve Reconstruction

Jose Agudelo, Brooke Dippold, Ian Klein, Alex Kokot, Eric Geiger, Irina Kogan

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.

Submitted: Jan 24, 2022