Geodesic Shape Spaces of Surfaces of Genus Zero

Abstract : We construct shape spaces of elastic spherical surfaces immersed in Euclidean space Rk. The spaces are equipped with geodesic metrics that depend on the tension and rigidity of the surfaces. We develop algorithms to calculate geodesics and geodesic distances, as well as tools to quantify local shape similarities and contrasts, thus obtaining a local-global formulation. We give examples of geodesic interpolations and illustrations of the use of the model in brain mapping.
Document type :
Conference papers
Liste complète des métadonnées

Cited literature [12 references]  Display  Hide  Download

https://hal.inria.fr/inria-00632879
Contributor : Alain Monteil <>
Submitted on : Sunday, October 16, 2011 - 10:22:56 PM
Last modification on : Monday, October 8, 2018 - 9:00:16 PM
Document(s) archivé(s) le : Thursday, November 15, 2012 - 9:46:25 AM

File

mfca08_4_1.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00632879, version 1

Collections

Citation

Xiuwen Liu, Washington Mio, Yonggang Shi, Ivo Dinov. Geodesic Shape Spaces of Surfaces of Genus Zero. 2nd MICCAI Workshop on Mathematical Foundations of Computational Anatomy, Oct 2008, New-York, United States. pp.105-116. ⟨inria-00632879⟩

Share

Metrics

Record views

87

Files downloads

44