The group of diffeomorphisms of the circle: Reproducing kernels and analogs of spherical functions
Local well-posedness of the EPDiff equation: A survey
Möbius invariants in image recognition
Konovenko Nadiia 1, and Lychagin Valentin 2,3,
Department of Mathematics, ONAFT, Odessa, Ukraine
Department of Mathematics, University of Tromsø, Norway
Institute of Control Sciences of RAS, Moscow, Russia
Received February 2016 Revised August 2016 Published May 2017
In this paper rational differential invariants are used to classify various plane shapes as well as plane domains equipped with an additional geometrical object.
Keywords: Lobachevskian geometry, Möbius transformations, jet-spaces, rational differential invariant, shape spaces, fingerprints.
Mathematics Subject Classification: Primary: 53A55.
Citation: Konovenko Nadiia, Lychagin Valentin. Möbius invariants in image recognition. Journal of Geometric Mechanics, 2017, 9 (2) : 191-206. doi: 10.3934/jgm.2017008
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Konovenko Nadiia Lychagin Valentin