The Varifold Representation of Nonoriented Shapes for Diffeomorphic Registration

@article{Charon2013TheVR,
  title={The Varifold Representation of Nonoriented Shapes for Diffeomorphic Registration},
  author={Nicolas Charon and Alain Trouv{\'e}},
  journal={ArXiv},
  year={2013},
  volume={abs/1304.6108}
}
In this paper, we address the problem of orientation that naturally arises when representing shapes such as curves or surfaces as currents. In the field of computational anatomy, the framework of currents has indeed proved very efficient in modeling a wide variety of shapes. However, in such approaches, orientation of shapes is a fundamental issue that can lead to several drawbacks in treating certain kinds of datasets. More specifically, problems occur with structures like acute pikes because… 
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