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Proceedings Paper

Integral invariants for 3D curves: an inductive approach
Author(s): Shuo Feng; Irina A. Kogan; Hamid Krim
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Paper 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.

Paper Details

Date Published: 29 January 2007
PDF: 11 pages
Proc. SPIE 6508, Visual Communications and Image Processing 2007, 65080I (29 January 2007); doi: 10.1117/12.707278
Show Author Affiliations
Shuo Feng, North Carolina State Univ. (United States)
Irina A. Kogan, North Carolina State Univ. (United States)
Hamid Krim, North Carolina State Univ. (United States)


Published in SPIE Proceedings Vol. 6508:
Visual Communications and Image Processing 2007
Chang Wen Chen; Dan Schonfeld; Jiebo Luo, Editor(s)

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