Affine Geometry of Space Curves
| Autor: | Nadjafikhah, Mehdi, Shirayeh, Ali Mahdipour |
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| Rok vydání: | 2007 |
| Předmět: | |
| Zdroj: | Differential Geometry - Dynamical Systems, Vol.13, 2011, pp. 191-200 |
| Druh dokumentu: | Working Paper |
| Popis: | This paper is devoted to the complete classification of space curves under affine transformations in the view of Cartan's theorem. Spivak has introduced the method but has not found the invariants. Furthermore, for the first time, we propound a necessary and sufficient condition for the invariants. Then, we study the shapes of space curves with constant curvatures in detail and suggest their applications in physics, computer vision and image processing. Comment: 17 pages |
| Databáze: | arXiv |
| Externí odkaz: |
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