12 citations · 24 across the 15 of their papers we have counts for
18 papers
Invariants: Computation and Applications
Irina A. Kogan
Invariants withstand transformations and, therefore, represent the essence of objects or phenomena. In mathematics, transformations often constitute a group action. Since the 19th…
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…
Non-congruent non-degenerate curves with identical signatures
Eric Geiger, Irina A. Kogan
While the equality of differential signatures (Calabi et al, Int. J. Comput. Vis. 26: 107-135, 1998) is known to be a necessary condition for congruence, it is not sufficient (Muss…
Inductive Approach to Cartan's Moving Frame Method with Applications to Classical Invariant Theory
Irina Kogan
This thesis is devoted to algorithmic aspects of the implementation of Cartan's moving frame method to the problem of the equivalence of submanifolds under a Lie group action. We a…
A mixed boundary value problem for
Helge Kristian Jenssen, Irina A. Kogan
Consider a single hyperbolic PDE , with locally prescribed data: along a non-characteristic curve and along a non-characteristic curve . W…
Differential signatures of algebraic curves
Irina A. Kogan, Michael Ruddy, Cynthia Vinzant
In this paper, we adapt the differential signature construction to the equivalence problem for complex plane algebraic curves under the actions of the projective group and its subg…