BIOMARKERS FOR HARDI: 2nd & 4th ORDER TENSOR INVARIANTS

Abstract : In this paper, we explore the theory of tensor invariants as a mathematical framework for computing new biomarkers for HARDI. We present and explain the integrity basis, basic in- variants and principal invariants of 2nd & 4th order tensors to expand on a recently proposed paper on 4th order tensor invariants. We present the mathematical results and compute the basic and principal invariants on a controlled synthetic dataset and an in vivo human dataset. We show how the in- tegrity bases of these two sets of invariants can form a promis- ing framework for developing new biomarkers for HARDI.
Type de document :
Communication dans un congrès
IEEE International Symposium on Biomedical Imaging: From Nano to Macro - 2012, May 2012, Barcelona, Spain. 2012
Liste complète des métadonnées

https://hal.inria.fr/hal-00667905
Contributeur : Aurobrata Ghosh <>
Soumis le : mercredi 8 février 2012 - 15:56:31
Dernière modification le : jeudi 11 janvier 2018 - 16:20:55
Document(s) archivé(s) le : jeudi 22 novembre 2012 - 11:40:20

Fichier

isbi12.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-00667905, version 1

Collections

Citation

Aurobrata Ghosh, Théodore Papadopoulo, Rachid Deriche. BIOMARKERS FOR HARDI: 2nd & 4th ORDER TENSOR INVARIANTS. IEEE International Symposium on Biomedical Imaging: From Nano to Macro - 2012, May 2012, Barcelona, Spain. 2012. 〈hal-00667905〉

Partager

Métriques

Consultations de la notice

368

Téléchargements de fichiers

384