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Conference Papers Year : 2012

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.
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Dates and versions

hal-00667905 , version 1 (08-02-2012)

Identifiers

  • HAL Id : hal-00667905 , version 1

Cite

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. ⟨hal-00667905⟩
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