Abstract: In this paper, we consider the projected rotation group which consists of projection and rotations in 3D and give some invariant feature extractors. Based on the theory of Lie algebra, the representation of the projected rotation group is obtained. Therein it is shown that the basis of the representation can be an orthonormal basis. With this orthonormal basis, we can construct quasi moment which is a kind of a weighted moment. It is also shown that the quasi moments which are closed in their orders under the projected rotation group. By computer simulations, some experiments for 3D motion analysis with the quasi moments are given.!7
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