Algorithms for Rational Curves:

  • Hong, H. and Kogan, I. A.
    Equi-affine minimal-degree moving frames for polynomial curves,     Maple code and examples.

  • Hong, H., Hough, Z., Kogan I. A. and Li, Z.
    Degree-optimal moving frames for rational curves,     Maple code and examples.

  • Hong, H., Hough, Z. and Kogan I. A.
    Algorithm for computing μ-bases of univariate polynomials,
    J. of Symbolic Comput., Vol. 8, No 3, (2017), 844 - 874.
    ArXiv preprint     Maple code and examples.

  • 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