20 October 1997 Finite transformation of the quasi-moment
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Abstract
Based on the representation of the projected rotation group, we can construct the well-behaved quantity, which is called quasi moment, under the projected rotation. The representation of the projected rotation group is obtained, through the infinitesimal 3D rotation followed by the projection onto an image plane, by Lie group theory. Thus the representation of the projected rotation group has good transformation property under projected rotation,but whether the constructed quasi moment shares similar good transformation property or not is not so trivial. Therefore, in this paper, we will present the effect of the finite transformation on quasi moment explicitly and show that the quasi moment also has good transformation property under the projected rotation group.
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Masaru Tanaka, "Finite transformation of the quasi-moment", Proc. SPIE 3168, Vision Geometry VI, (20 October 1997); doi: 10.1117/12.279671; https://doi.org/10.1117/12.279671
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