|
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|
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References
|
|
| |
| 1. |
Khadzhiev Dzh., Prilozhenie teorii invariantnov k differentsialnoi geometrii krivykh, Fan, Tashkent, 1988 |
| 2. |
Berger M., Geometry, Springer-Verlag, Berlin–Heidelberg, 1987 |
| 3. |
Dieudonné J. A., Carrell J. B., Invariant Theory, Academic Press, New York–London, 1971 |
| 4. |
Greub W. H., Linear Algebra, Springer-Verlag, New York, 1967 |
| 5. |
Gürsoy O., Incesu M., “LS(2)-equivalence conditions of control points and application to planar Bezier curves”, New Trends Math. Sci., 3:5 (2017), 70–84 |
| 6. |
Höfer R., “$m$-Point invariants of real geometries”, Beitrage Alg. Geom., 40 (1999), 261–266 |
| 7. |
Khadjiev D., “Projective invariants of $m$-tuples in the one-dimensional projective space”, Uzbek Math. J., 1 (2019), 60–72 |
| 8. |
Khadjiev D., Beshimov G., “Complete systems of $SO(2,\mathbb{R})$-invariants of mappings of a fixed set to the two-dimensional Euclidean space”, Proc. Int. Conf. “Modern Problems of Geometry and Topology and Their Applications”, Tashkent, Uzbekistan, 2019 |
| 9. |
Khadjiev D., Göksal Y., “Applications of hyperbolic numbers to the invariant theory in two-dimensional pseudo-Euclidean space”, Adv. Appl. Clifford Alg., 26 (2016), 645–668 |
| 10. |
Mumford D., Fogarty J., Geometric Invariant Theory, Springer-Verlag, Berlin–Heidelberg, 1994 |
| 11. |
Mundy J. L., Zisserman A., Forsyth D. D., Applications of Invariance in Computer Vision, Springer-Verlag, Berlin–Heidelberg–New York, 1994 |
| 12. |
O'Rourke J., Computational Geometry in C, Cambridge Univ. Press, 1997 |
| 13. |
Ören I., “Equivalence conditions of two Bézier curves in the Euclidean geometry”, Iran. J. Sci. Technol. Trans. Sci., 42:3 (2018), 1563–1577 |
| 14. |
Ören I., “On invariants of $m$-vectors in Lorentzian geometry”, Int. Electron. J. Geom., 9:1 (2016), 38–44 |
| 15. |
Reiss T. H., Recognizing Planar Objects Using Invariant Image Features, Springer-Verlag, Berlin–Heidelberg–New York, 1993 |
| 16. |
Sibirskii K. S., Introduction to the Algebraic Invariants of Differential Equations, Manchester Univ. Press, New York, 1988 |
| 17. |
Springer T. A., Invariant Theory, Springer-Verlag, Berlin–Heidelberg–New York, 1977 |
| 18. |
Weyl H., The Classical Groups: Their Invariants and Representations, Princeton Univ. Press, Princeton, New Jersey, 1946 |