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.
Document type :
Conference papers
Complete list of metadatas

https://hal.inria.fr/hal-00667905
Contributor : Aurobrata Ghosh <>
Submitted on : Wednesday, February 8, 2012 - 3:56:31 PM
Last modification on : Thursday, January 11, 2018 - 4:20:55 PM
Long-term archiving on: Thursday, November 22, 2012 - 11:40:20 AM

File

isbi12.pdf
Files produced by the author(s)

Identifiers

  • 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. ⟨hal-00667905⟩

Share

Metrics

Record views

436

Files downloads

420