On Shape of Plane Elastic Curves

@article{Mio2006OnSO,
  title={On Shape of Plane Elastic Curves},
  author={Washington Mio and Anuj Srivastava and Shantanu H. Joshi},
  journal={International Journal of Computer Vision},
  year={2006},
  volume={73},
  pages={307-324}
}
We study shapes of planar arcs and closed contours modeled on elastic curves obtained by bending, stretching or compressing line segments non-uniformly along their extensions. Shapes are represented as elements of a quotient space of curves obtained by identifying those that differ by shape-preserving transformations. The elastic properties of the curves are encoded in Riemannian metrics on these spaces. Geodesics in shape spaces are used to quantify shape divergence and to develop morphing… CONTINUE READING
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