Decomposition of higher-order homogeneous tensors and applications to HARDI

E. Balmashnova, A. Fuster, L.M.J. Florack

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Abstract

High Angular Resolution Diffusion Imaging (HARDI) holds the promise to provide insight in connectivity of the human brain in vivo. Based on this technique a number of different approaches has been proposed to estimate the ¿ber orientation distribution, which is crucial for ¿ber tracking. A spherical harmonic representation is convenient for regularization and the construction of orientation distribution functions (ODFs), whereas maxima detection and ¿ber tracking techniques are most naturally formulated using a tensor representation. We give an analytical formulation to bridge the gap between the two representations, which admits regularization and ODF construction directly in the tensor basis.
Original languageEnglish
Title of host publicationProceedings of the MICCAI 2012 Workshop on Computational Diffusion MRI (CDMRI'12, Nice, France, October 5, 2012)
EditorsE. Panagiotaki, L. O'Donnell, T. Schultz, G.H. Zhang
Place of PublicationLondon
PublisherUCL Centre for Medical Image Computing
Pages79-89
Publication statusPublished - 2012
EventMICCAI 2012 Workshop on Computational Diffusion MRI (CDMRI '12), October 5, 2012, Nice, France - Nice, France
Duration: 5 Oct 20125 Oct 2012

Workshop

WorkshopMICCAI 2012 Workshop on Computational Diffusion MRI (CDMRI '12), October 5, 2012, Nice, France
Abbreviated titleCDMRI '12
CountryFrance
CityNice
Period5/10/125/10/12
OtherWorkshop held in conjunction with the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI 2012)

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Balmashnova, E., Fuster, A., & Florack, L. M. J. (2012). Decomposition of higher-order homogeneous tensors and applications to HARDI. In E. Panagiotaki, L. O'Donnell, T. Schultz, & G. H. Zhang (Eds.), Proceedings of the MICCAI 2012 Workshop on Computational Diffusion MRI (CDMRI'12, Nice, France, October 5, 2012) (pp. 79-89). London: UCL Centre for Medical Image Computing.