On High Order Tensor-based Diffusivity Profile Estimation
Paper i proceeding, 2013

Diffusion weighted magnetic resonance imaging (dMRI) is used to measure, in vivo, the self-diffusion of water molecules in biological tissues. High order tensors (HOTs) are used to model the apparent diffusion coefficient (ADC) profile at each voxel from the dMRI data. In this paper we propose: (i) A new method for estimating HOTs from dMRI data based on weighted least squares (WLS) optimization; and (ii) A new expression for computing the fractional anisotropy from a HOT that does not suffer from singularities and spurious zeros. We also present an empirical evaluation of the proposed method relative to the two existing methods based on both synthetic and real human brain dMRI data. The results show that the proposed method yields more accurate estimation than the competing methods.

Fractional Anisotropy

Weighted least squares

Diffusion-weighted MRI (dMRI)

High order tensor


ADC profile


Mohammad Alipoor

Signaler och system, Signalbehandling och medicinsk teknik, Signalbehandling

Irene Yu-Hua Gu

Signaler och system, Signalbehandling och medicinsk teknik, Signalbehandling

Andrew Mehnert

Signaler och system, Signalbehandling och medicinsk teknik, Digitala bildsystem och bildanalys

Y Lilja

Sahlgrenska Universitetssjukhuset

Daniel Nilsson

Sahlgrenska Universitetssjukhuset

Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS

1557170X (ISSN)

93-96 6609445


Livsvetenskaper och teknik




Radiologi och bildbehandling

Datorseende och robotik (autonoma system)

Medicinsk bildbehandling