Applications to Computer Vision:
  • Agudelo, J., Dippold. B., Klein, I., Kokot, A., Geiger, E., and Kogan, I.
    Euclidean and Affine Curve Reconstruction.
    Involve, 27 (1), (2024), 29 -63;
    ArXiv preprint

  • Geiger, E. and Kogan, I. A.
    Non-congruent non-degenerate curves with identical signatures.
    Journal of Mathematical Imaging and Vision (JMIV) 63 (5), (2021) 601 - 625
    Online version     ArXiv preprint

  • Kogan I.A., Ruddy, M. and Vinzant C.
    Differential signatures of algebraic curves.
    accepted to the SIAM Journal on Applied Algebra and Geometry (SIAGA)

  • Kogan I. A. and Olver P. J.
    Invariants of objects and their images under surjective maps
    Lobachevskii J. Math., Vol. 36, No 3, (2015), 260 - 285.
    Corrections and additions to the published version
    ArXiv (with correction and additions)

  • Burdis, J. M., Kogan, I. A. and Hong, H.
    Object-image correspondence for algebraic curves under projections.
    SIGMA. Symmetry, Integrability and Geometry. Methods and Applications, Vol. 9, (2013), 31 pp.
    ArXiv preprint
    correction to (48) in the appendix

  • Burdis, J. M. and Kogan, I. A.
    Object-image correspondence for curves under central and parallel projections.
    Proceedings of the Symposium on Computational Geometry (SoCG), ACM, New York (2012), 373 - 382.
    Maple code and supplementary materials     preprint

  • Feng, S., Kogan, I. A. and Krim, H.
    Classification of curves in 2D and 3D via affine integral signatures.
    Acta Applicandae Mathematicae, Vol. 109, No. 3, (2010), 903 - 937
    arXiv preprint.

  • Feng, S., Kogan, I. A. and Krim, H.
    Integral invariants for curves in 3D: an inductive approach.
    Proceedings of IS&T/SPIE joint symposium, Visual Communication and Image Processing conference (VCIP), San Jose, CA, (2007), 65080I, 11 pp.
    preprint

  • Feng, S., Krim, H., and Kogan I. A.
    3D Face recognition using Euclidean integral invariant signature.
    Proceedings of the IEEE/SP 14th Workshop on Statistical Signal Processing (SSP), (2007), 156 -160.
    preprint

  • Aouada, D., Feng, S., Krim, H. and Kogan, I. A.
    3D mixed invariant and its application in object classification.
    Proceedings of International Conference on Acoustics, Speech, and Signal Processing (ICASSP), (2007), 461 - 464.
    preprint

  • Baloch, S., Krim, H., Kogan, I. A. and Zenkov, D. V.
    Rotation invariant topology coding of 2D and 3D objects using Morse theory.
    Proceedings of IEEE International Conference on Image Processing (ICIP), (2005), 796 - 799.
    preprint

  • Baloch, S., Krim, H., Kogan, I. A. and Zenkov, D. V.
    3D object representation with topo-geometric shape models.
    Proceedings of European Signal Processing Conference (EUSIPCO), (2005) 4pp. (electronic).
    preprint