Decomposition of higher-order homogeneous tensors and applications to HARDI

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

Decomposition of higher-order homogeneous tensors and applications to HARDI

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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 language	English
Title of host publication	Proceedings of the MICCAI 2012 Workshop on Computational Diffusion MRI (CDMRI'12, Nice, France, October 5, 2012)
Editors	E. Panagiotaki, L. O'Donnell, T. Schultz, G.H. Zhang
Place of Publication	London
Publisher	UCL Centre for Medical Image Computing
Pages	79-89
Publication status	Published - 2012
Event	MICCAI 2012 Workshop on Computational Diffusion MRI (CDMRI '12), October 5, 2012, Nice, France - Nice, France Duration: 5 Oct 2012 → 5 Oct 2012

Workshop

Workshop	MICCAI 2012 Workshop on Computational Diffusion MRI (CDMRI '12), October 5, 2012, Nice, France
Abbreviated title	CDMRI '12
Country	France
City	Nice
Period	5/10/12 → 5/10/12
Other	Workshop 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.

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

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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.",

author = "E. Balmashnova and A. Fuster and L.M.J. Florack",

year = "2012",

language = "English",

pages = "79--89",

editor = "E. Panagiotaki and L. O'Donnell and T. Schultz and G.H. Zhang",

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publisher = "UCL Centre for Medical Image Computing",

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Balmashnova, E, Fuster, A & Florack, LMJ 2012, Decomposition of higher-order homogeneous tensors and applications to HARDI. in E Panagiotaki, L O'Donnell, T Schultz & GH Zhang (eds), Proceedings of the MICCAI 2012 Workshop on Computational Diffusion MRI (CDMRI'12, Nice, France, October 5, 2012). UCL Centre for Medical Image Computing, London, pp. 79-89, MICCAI 2012 Workshop on Computational Diffusion MRI (CDMRI '12), October 5, 2012, Nice, France, Nice, France, 5/10/12.

Decomposition of higher-order homogeneous tensors and applications to HARDI. / Balmashnova, E.; Fuster, A.; Florack, L.M.J.

Proceedings of the MICCAI 2012 Workshop on Computational Diffusion MRI (CDMRI'12, Nice, France, October 5, 2012). ed. / E. Panagiotaki; L. O'Donnell; T. Schultz; G.H. Zhang. London : UCL Centre for Medical Image Computing, 2012. p. 79-89.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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N2 - 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.

AB - 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.

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BT - Proceedings of the MICCAI 2012 Workshop on Computational Diffusion MRI (CDMRI'12, Nice, France, October 5, 2012)

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