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Numerically Invariant Signature Curves

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International Journal of Computer Vision Aims and scope Submit manuscript

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.

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References

  • Calabi, E., Olver, P.J., Shakiban, C., Tannenbaum, A., and Haker, S. 1998. Differential and numerically invariant signature curves applied to object recognition. Int. J. Comput. Vision, 26:107–135.

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Authors and Affiliations

  1. University of Minnesota, USA

    Mireille Boutin

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  1. Mireille Boutin
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Boutin, M. Numerically Invariant Signature Curves. International Journal of Computer Vision 40, 235–248 (2000). https://doi.org/10.1023/A:1008139427340

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  • DOI: https://doi.org/10.1023/A:1008139427340

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