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

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3 Author(s)
Aurobrata Ghosh ; Project Team Athena, INRIA, Sophia Antipolis - Méditerranée, France ; Théo Papadopoulo ; Rachid Deriche

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.

Published in:

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

Date of Conference:

2-5 May 2012