Three Methods to Put a Riemannian Metric on Shape Space

Tumpach, Alice Barbora; Preston, Stephen

Type de document :

Direction scientifique d'une publication (ouvrage, numéro spécial de revue, proceedings): Proceedings

DOI :

10.1007/978-3-031-38271-0_1

URL permanente :

http://hdl.handle.net/20.500.12210/121550

Titre :

Three Methods to Put a Riemannian Metric on Shape Space

Auteur(s) :

Tumpach, Alice Barbora [Directeur de publication]
Institut CNRS-PAULI [ICP]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Preston, Stephen [Directeur de publication]

Titre de la manifestation scientifique :

Geometric Science of Information

Titre de la revue :

Lecture Notes in Computer Science

Éditeur :

Springer Nature Switzerland

Lieu de publication :

Cham

Date de publication :

2023-08-01

Discipline(s) HAL :

Mathématiques [math]

Résumé en anglais : [en]

In many applications, one is interested in the shape of an object, like the contour of a bone or the trajectory of joints of a tennis player, irrespective of the way these shapes are parameterized. However for analysis of ...
Lire la suite >In many applications, one is interested in the shape of an object, like the contour of a bone or the trajectory of joints of a tennis player, irrespective of the way these shapes are parameterized. However for analysis of these shape spaces, it is sometimes useful to have a parameterization at hand, in particular if one is interested in deforming shapes. The purpose of the paper is to examine three different methods that one can follow to endow shape spaces with a Riemannian metric that is measuring deformations in a parameterization independent way.Lire moins >

Langue :

Anglais

Audience :

Internationale

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Date de dépôt :

2025-01-24T14:06:46Z

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