Biomarkers for HARDI: 2nd & 4th order tensor invariants

Author

Ghosh, Aurobrata ; Papadopoulo, Théo ; Deriche, Rachid

Author_Institution

Project Team Athena, INRIA, Sophia Antipolis, France

fYear

2012

fDate

2-5 May 2012

Firstpage

26

Lastpage

29

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 invariants 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 integrity bases of these two sets of invariants can form a promising framework for developing new biomarkers for HARDI.

Keywords

biomedical MRI; medical signal processing; tensors; HARDI biomarkers; basic invariants; fourth order tensor invariants; high angular resolution diffusion imaging; integrity basis; principal invariants; second order tensor invariants; Anisotropic magnetoresistance; Biological system modeling; Biomarkers; Diffusion tensor imaging; Humans; In vivo; Tensile stress; HARDI; basic & principal tensor invariants; biomarkers; integrity basis; tensors;

fLanguage

English

Publisher

ieee

Conference_Titel

Biomedical Imaging (ISBI), 2012 9th IEEE International Symposium on

Conference_Location

Barcelona

ISSN

1945-7928

Print_ISBN

978-1-4577-1857-1

Type

conf

DOI

10.1109/ISBI.2012.6235475

Filename

6235475