Numerically Invariant Signature Curves

Authors:
Mireille Boutin
Affiliations:
University of Minnesota
Venue:
International Journal of Computer Vision
Year:
2000

Citing 2
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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.