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

Authors:
Ivica Kopriva;Andrzej Cichocki
Affiliations:
Rudjer Bošković Institute, Zagreb, Croatia;Laboratory for Advanced Brain Signal Processing, Brain Science Institute, RIKEN, Saitama, Japan and Warsaw University of Technology and Systems Research Institute, PAN, Poland
Venue:
LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
Year:
2010

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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.