Three Methods to Put a Riemannian Metric on Shape Space

Tumpach, Alice Barbora; Preston, Stephen

Document type :

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

DOI :

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

Permalink :

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

Title :

Three Methods to Put a Riemannian Metric on Shape Space

Author(s) :

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

Conference title :

Geometric Science of Information

Journal title :

Lecture Notes in Computer Science

Publisher :

Springer Nature Switzerland

Publication place :

Cham

Publication date :

2023-08-01

HAL domain(s) :

Mathématiques [math]

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Audience :

Internationale

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Submission date :

2025-01-24T14:06:46Z

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