Shape Metrics Based on Elastic Deformations

@article{Fuchs2009ShapeMB,
  title={Shape Metrics Based on Elastic Deformations},
  author={Matthias Fuchs and Bert J{\"u}ttler and Otmar Scherzer and Huaiping Yang},
  journal={Journal of Mathematical Imaging and Vision},
  year={2009},
  volume={35},
  pages={86-102}
}
Deformations of shapes and distances between shapes are an active research topic in computer vision. We propose an energy of infinitesimal deformations of continuous 1- and 2-dimensional shapes that is based on the elastic energy of deformed objects. This energy defines a shape metric which is inherently invariant with respect to Euclidean transformations and yields very natural deformations which preserve details. We compute shortest paths between planar shapes based on elastic deformations… CONTINUE READING

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