29 January 2007 Integral invariants for 3D curves: an inductive approach
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Abstract
In this paper we obtain, for the first time, explicit formulae for integral invariants for curves in 3D with respect to the special and the full affine groups. Using an inductive approach we first compute Euclidean integral invariants and use them to build the affine invariants. The motivation comes from problems in computer vision. Since integration diminishes the effects of noise, integral invariants have advantage in such applications. We use integral invariants to construct signatures that characterize curves up to the special affine transformations.
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Shuo Feng, Irina A. Kogan, Hamid Krim, "Integral invariants for 3D curves: an inductive approach", Proc. SPIE 6508, Visual Communications and Image Processing 2007, 65080I (29 January 2007); doi: 10.1117/12.707278; https://doi.org/10.1117/12.707278
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