Rotation-invariant image moments are shown to be equivalent to classical SO(2) invariants of binary forms, with complete minimal generating sets for orders 3 through 5 and explicit rational invariants for every order.
A., Psaltis D., Recognitive Aspects of Moment In variants,IEEE Transactions on Pattern Analysis and Machine Intelligence,Volume 6 Issue 6, 1984,Pages 698- 706
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2D moment invariants from the point of view of the classical invariant theory
Rotation-invariant image moments are shown to be equivalent to classical SO(2) invariants of binary forms, with complete minimal generating sets for orders 3 through 5 and explicit rational invariants for every order.