Nonlinear band expansion and 3D nonnegative tensor factorization for blind decomposition of magnetic resonance image of the brain

Ivica Kopriva, Andrzej Cichocki

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Citations (Scopus)

Abstract

α- and β-divergence based nonnegative tensor factorization (NTF) is combined with nonlinear band expansion (NBE) for blind decomposition of the magnetic resonance image (MRI) of the brain. Concentrations and 3D tensor of spatial distributions of brain substances are identified from the Tucker3 model of the 3D MRI tensor. NBE enables to account for the presence of more brain substances than number of bands and, more important, to improve conditioning of the expanded matrix of concentrations of brain substances. Unlike matrix factorization methods NTF preserves local spatial structure in the MRI. Unlike ICA-, NTF-based factorization is insensitive to statistical dependence among spatial distributions of brain substances. Efficiency of the NBE-NTF algorithm is demonstrated over NBE-ICA and NTF-only algorithms on blind decomposition of the realistically simulated MRI of the brain.

Original languageEnglish
Title of host publicationLatent Variable Analysis and Signal Separation - 9th International Conference, LVA/ICA 2010, Proceedings
Pages490-497
Number of pages8
DOIs
Publication statusPublished - 2010
Externally publishedYes
Event9th International Conference on Latent Variable Analysis and Signal Separation, LVA/ICA 2010 - St. Malo, France
Duration: 27 Sep 201030 Sep 2010

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume6365 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference9th International Conference on Latent Variable Analysis and Signal Separation, LVA/ICA 2010
Country/TerritoryFrance
CitySt. Malo
Period27/09/1030/09/10

Keywords

  • magnetic resonance image
  • multi-spectral image
  • nonlinear band expansion
  • Nonnegative tensor factorization

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