Numerically Invariant Signature Curves

Author: Boutin M.

Source: International Journal of Computer Vision, Volume 40, Number 3, December 2000 , pp. 235-248(14)

Publisher: Springer

Abstract:

Corrected versions of the numerically invariant expressions for the affine and Euclidean signature of a planar curve introduced by Calabi et al. in (Int. J. Comput. Vision, 26: 107–135, 1998) are presented. The new formulas are valid for fine but otherwise arbitrary partitions of the curve. We also give numerically invariant expressions for the four differential invariants parameterizing the three dimensional version of the Euclidean signature curve, namely the curvature, the torsion and their derivatives with respect to arc length.

Keywords: curvature; torsion; object recognition; differential invariant; joint invariant; signature curve; Euclidean group; equi-affine group; numerical approximation

Language: English

Document Type: Regular paper

Affiliations: 1: University of Minnesota

Publication date: 2000-12-01

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• In this Subject: Computer Science ,  General & Civil Engineering
• By this author: Boutin M.

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