Conformal projective invariants in the problem of image recognition.
DOI:
https://doi.org/10.15673/2072-9812.1/2014.29276Keywords:
Конформные дифференциальные инварианты, дифференциальные 1-формы, джеты дифференциальных формAbstract
In this paper we reduce local classification of differential 1-forms on the plane with respect to group SL_2(C) of Mobius transformations. We find the field of rational conformal differential invariants and show that the field is generated by two differential invariant derivations and by differential invariants of the first and second orders.
References
Н. Г. Коновенко. Дифференциальные инварианты и sl_2 - геометрии // Киів: "Наукова Думка" НАН України, (2013), 192 с.
В. Kruglikov, V. Lychagin. Global Lie-Tresse theorem // (2013), 48p., http://arxiv.org/pdf/1111.5480.pdf
E. Sharon, D. Mumford. 2D-Shape Analysis Using Conformal Mapping // International Journal of Computer Vision 70(1), p. 55-75, (2006) // DOI: 10.1007/s11263-006-6121-z
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Published
2014-11-04
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