Surface Matching Using Normal Cycles

07/11/2017
Publication GSI2017
OAI : oai:www.see.asso.fr:17410:22584
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Résumé

In this article we develop in the case of triangulated meshes the notion of normal cycle as a dissimilarity measure introduced in [13].
Our construction is based on the definition of kernel metrics on the space of normal cycles which take explicit expressions in a discrete setting. We derive the computational setting for discrete surfaces, using the Large
Deformation Diffeomorphic Metric Mapping framework as model for deformations.
We present experiments on real data and compare with the varifolds approach.

Surface Matching Using Normal Cycles

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application/pdf Surface Matching Using Normal Cycles Pierre Roussillon, Joan Alexis Glaunès
Détails de l'article
contenu protégé  Document accessible sous conditions - vous devez vous connecter ou vous enregistrer pour accéder à ou acquérir ce document.
- Accès libre pour les ayants-droit

In this article we develop in the case of triangulated meshes the notion of normal cycle as a dissimilarity measure introduced in [13].
Our construction is based on the definition of kernel metrics on the space of normal cycles which take explicit expressions in a discrete setting. We derive the computational setting for discrete surfaces, using the Large
Deformation Diffeomorphic Metric Mapping framework as model for deformations.
We present experiments on real data and compare with the varifolds approach.
Surface Matching Using Normal Cycles

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Our construction is based on the definition of kernel metrics on the space of normal cycles which take explicit expressions in a discrete setting. We derive the computational setting for discrete surfaces, using the Large<br />
Deformation Diffeomorphic Metric Mapping framework as model for deformations.<br />
We present experiments on real data and compare with the varifolds approach.
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