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In this paper, we derive an explicit group-invariant formula for the EulerLagrange equations associated with an invariant variational problem. The method relies on a group-invariant version of theâ€¦ (More)

- Irina A. Kogan
- 2004

The method of moving frames, introduced by Elie Cartan, is a powerful tool for the solution of various equivalence problems. The practical implementation of Cartanâ€™s method, however, remains to beâ€¦ (More)

- Shuo Feng, Irina A. Kogan, Hamid Krim
- ArXiv
- 2008

We propose new robust classification algorithms for planar and spatial curves subjected to affine transformations. Our motivation comes from the problems in computer image recognition. To each planarâ€¦ (More)

- Sajjad Baloch, Hamid Krim, Irina A. Kogan, Dmitry Zenkov
- IEEE International Conference on Image Processingâ€¦
- 2005

In this paper, we propose a numerical algorithm for extracting the topology of a three-dimensional object (2 dimensional surface) embedded in a three-dimensional space /spl Ropf//sup 3/. The methodâ€¦ (More)

- Evelyne Hubert, Irina A. Kogan
- Foundations of Computational Mathematics
- 2007

We provide an algebraic formulation of the moving frame method for constructing local smooth invariants on a manifold under an action of a Lie group. This formulation gives rise to algorithms forâ€¦ (More)

- Joseph M. Burdis, Irina A. Kogan, Hoon Hong
- ArXiv
- 2013

We present a novel algorithm for deciding whether a given planar curve is an image of a given spatial curve, obtained by a central or a parallel projection with unknown parameters. The motivationâ€¦ (More)

We study the problem of constructing systems of hyperbolic conservation laws in one space dimension with prescribed eigencurves, i.e. the eigenvector fields of the Jacobian of the flux are given. Weâ€¦ (More)

We provide an algebraic formulation of the moving frame method for constructing local smooth invariants on a manifold under an action of a Lie group. This formulation gives rise to algorithms forâ€¦ (More)

Entropies (convex extensions) play a central role in the theory of hyperbolic conservation laws by providing intrinsic selection criteria for weak solutions and local well-posedness for the Cauchyâ€¦ (More)

- Evelyne Hubert, Irina A. Kogan
- J. Symb. Comput.
- 2007

Geometric constructions applied to a rational action of an algebraic group lead to a new algorithm for computing rational invariants. A finite generating set of invariants appears as the coefficientsâ€¦ (More)