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An H2 type Riemannian metric on the space of planar curves

Abstract : An H2 type metric on the space of planar curves is proposed and equation of the geodesic is derived. A numerical example is given to illustrate the differneces between H1 and H2 metrics.
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https://hal.inria.fr/inria-00635881
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Submitted on : Wednesday, October 26, 2011 - 11:20:06 AM
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Jayant Shah. An H2 type Riemannian metric on the space of planar curves. 1st MICCAI Workshop on Mathematical Foundations of Computational Anatomy: Geometrical, Statistical and Registration Methods for Modeling Biological Shape Variability, Oct 2006, Copenhagen, Denmark. pp.40-46. ⟨inria-00635881⟩

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