2D moment invariants from the point of view of the classical invariant theory

08/20/2019

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by   Leonid Bedratyuk, et al.

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We introduce the notions of the algebras of polynonial/rational SO(2)-invariants and prove that they are isomorphic to the algebras of moment invariants. Also, to simplify the calculating of invariants we pass from an action of Lie group SO(2) to an action of its Lie algebra so_2. This allow us to reduce the problem to well known problems of the classical invariant theory.