On the Theory of Planar Shape

@article{Lisani2003OnTT,
  title={On the Theory of Planar Shape},
  author={Jose Luis Lisani and Lionel Moisan and Pascal Monasse and Jean-Michel Morel},
  journal={Multiscale Modeling & Simulation},
  year={2003},
  volume={1},
  pages={1-24}
}
One of the aims of computer vision in the past 30 years has been to recognize shapes by numerical algorithms. Now, what are the geometric features on which shape recognition can be based? In this paper, we review the mathematical arguments leading to a unique definition of planar shape elements. This definition is derived from the invariance requirement to not less than five classes of perturbations, namely noise, affine distortion, contrast changes, occlusion, and background. This leads to a… CONTINUE READING
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