On the Riemannian rationale for diffusion tensor imaging

A. Fuster; T.C.J. Dela Haije; L.M.J. Florack

On the Riemannian rationale for diffusion tensor imaging

A. Fuster, T.C.J. Dela Haije, L.M.J. Florack

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Abstract

One of the approaches in the analysis of brain diffusion MRI data is to consider white matter as a Riemannian manifold, with a metric given by the inverse of the diffusion tensor. Such a metric is used for white matter tractography and connectivity analysis. Although this choice of metric is heuristically justified it has not been derived from first principles. We propose a modification of the metric tensor motivated by the underlying mathematics of diffusion.

Original language	English
Title of host publication	Proceedings of the International Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop, 27 January - 1 February 2013, Villars-sur-Ollon
Pages	62-62
Publication status	Published - 2013
Event	conference; Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop 2013; 2013-01-27; 2013-02-01 - Duration: 27 Jan 2013 → 1 Feb 2013

Conference

Conference	conference; Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop 2013; 2013-01-27; 2013-02-01
Period	27/01/13 → 1/02/13
Other	Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop 2013

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title = "On the Riemannian rationale for diffusion tensor imaging",

abstract = "One of the approaches in the analysis of brain diffusion MRI data is to consider white matter as a Riemannian manifold, with a metric given by the inverse of the diffusion tensor. Such a metric is used for white matter tractography and connectivity analysis. Although this choice of metric is heuristically justified it has not been derived from first principles. We propose a modification of the metric tensor motivated by the underlying mathematics of diffusion.",

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year = "2013",

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pages = "62--62",

booktitle = "Proceedings of the International Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop, 27 January - 1 February 2013, Villars-sur-Ollon",

note = "conference; Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop 2013; 2013-01-27; 2013-02-01 ; Conference date: 27-01-2013 Through 01-02-2013",

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Fuster, A, Dela Haije, TCJ & Florack, LMJ 2013, On the Riemannian rationale for diffusion tensor imaging. in Proceedings of the International Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop, 27 January - 1 February 2013, Villars-sur-Ollon. pp. 62-62, conference; Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop 2013; 2013-01-27; 2013-02-01, 27/01/13.

On the Riemannian rationale for diffusion tensor imaging. / Fuster, A.; Dela Haije, T.C.J.; Florack, L.M.J.
Proceedings of the International Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop, 27 January - 1 February 2013, Villars-sur-Ollon. 2013. p. 62-62.

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

TY - GEN

T1 - On the Riemannian rationale for diffusion tensor imaging

AU - Fuster, A.

AU - Dela Haije, T.C.J.

AU - Florack, L.M.J.

PY - 2013

Y1 - 2013

N2 - One of the approaches in the analysis of brain diffusion MRI data is to consider white matter as a Riemannian manifold, with a metric given by the inverse of the diffusion tensor. Such a metric is used for white matter tractography and connectivity analysis. Although this choice of metric is heuristically justified it has not been derived from first principles. We propose a modification of the metric tensor motivated by the underlying mathematics of diffusion.

AB - One of the approaches in the analysis of brain diffusion MRI data is to consider white matter as a Riemannian manifold, with a metric given by the inverse of the diffusion tensor. Such a metric is used for white matter tractography and connectivity analysis. Although this choice of metric is heuristically justified it has not been derived from first principles. We propose a modification of the metric tensor motivated by the underlying mathematics of diffusion.

M3 - Conference contribution

SP - 62

EP - 62

BT - Proceedings of the International Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop, 27 January - 1 February 2013, Villars-sur-Ollon

T2 - conference; Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop 2013; 2013-01-27; 2013-02-01

Y2 - 27 January 2013 through 1 February 2013

ER -

On the Riemannian rationale for diffusion tensor imaging

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