Using matching distance in size theory: A survey

@article{dAmico2006UsingMD,
  title={Using matching distance in size theory: A survey},
  author={Michele d'Amico and Patrizio Frosini and Claudia Landi},
  journal={Int. J. Imaging Systems and Technology},
  year={2006},
  volume={16},
  pages={154-161}
}
In this survey we illustrate how the matching distance between reduced size functions can be applied for shape comparison. We assume that each shape can be thought of as a compact connected manifold with a real continuous function defined on it, that is a pair (M, φ : M → R), called size pair. In some sense, the function φ focuses on the properties and the invariance of the problem at hand. In this context, matching two size pairs (M, φ) and (N , ψ) means looking for a homeomorphism between M… CONTINUE READING

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