3 papers
math.DG2022
Euclidean and Affine Curve Reconstruction
Jose Agudelo, Brooke Dippold, Ian Klein +3
We consider practical aspects of reconstructing planar curves with prescribed Euclidean or affine curvatures. These curvatures are invariant under the special Euclidean group and t…
math.DG2020
Metrics and Uniqueness Criteria on the Signatures of Closed Curves
Alex Kokot, Ian Klein
This paper explores the paradigm of the differential signature introduced in 1996 by Calabi et al. This methodology has vast implications in fields such as computer vision, where t…
math-ph2019
Characteristics of Eigenvalues Realized by Path-Connected Sets of Matrices
Alex Kokot, Charles Johnson
We consider path-connected sets of matrices and the induced paths between eigenvalues. We discuss the equivalence relation generated by these paths, and how it relates to the prese…