Fourth-order tensor invariants in high angular resolution diffusion imaging

A. Fuster, J. Sande, van de, L.J. Astola, C. Poupon, J. Velterop, B.M. Haar Romeny, ter

Research output: Book/ReportReportAcademic

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Abstract

We consider new scalar quantities in the context of High Angular Resolution Diffusion Imaging (HARDI), namely, the principal invariants of fourth-order tensors modeling the diffusion profiles. We present the formalism needed to compute tensor invariants. We show results on the orthogonal basis of fourth-order tensor and on real HARDI phantom and brain data.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages10
Publication statusPublished - 2011

Publication series

NameCASA-report
Volume1156
ISSN (Print)0926-4507

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angular resolution
tensors
high resolution
brain
scalars
formalism
profiles

Cite this

Fuster, A., Sande, van de, J., Astola, L. J., Poupon, C., Velterop, J., & Haar Romeny, ter, B. M. (2011). Fourth-order tensor invariants in high angular resolution diffusion imaging. (CASA-report; Vol. 1156). Eindhoven: Technische Universiteit Eindhoven.
Fuster, A. ; Sande, van de, J. ; Astola, L.J. ; Poupon, C. ; Velterop, J. ; Haar Romeny, ter, B.M. / Fourth-order tensor invariants in high angular resolution diffusion imaging. Eindhoven : Technische Universiteit Eindhoven, 2011. 10 p. (CASA-report).
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Fuster, A, Sande, van de, J, Astola, LJ, Poupon, C, Velterop, J & Haar Romeny, ter, BM 2011, Fourth-order tensor invariants in high angular resolution diffusion imaging. CASA-report, vol. 1156, Technische Universiteit Eindhoven, Eindhoven.

Fourth-order tensor invariants in high angular resolution diffusion imaging. / Fuster, A.; Sande, van de, J.; Astola, L.J.; Poupon, C.; Velterop, J.; Haar Romeny, ter, B.M.

Eindhoven : Technische Universiteit Eindhoven, 2011. 10 p. (CASA-report; Vol. 1156).

Research output: Book/ReportReportAcademic

TY - BOOK

T1 - Fourth-order tensor invariants in high angular resolution diffusion imaging

AU - Fuster, A.

AU - Sande, van de, J.

AU - Astola, L.J.

AU - Poupon, C.

AU - Velterop, J.

AU - Haar Romeny, ter, B.M.

PY - 2011

Y1 - 2011

N2 - We consider new scalar quantities in the context of High Angular Resolution Diffusion Imaging (HARDI), namely, the principal invariants of fourth-order tensors modeling the diffusion profiles. We present the formalism needed to compute tensor invariants. We show results on the orthogonal basis of fourth-order tensor and on real HARDI phantom and brain data.

AB - We consider new scalar quantities in the context of High Angular Resolution Diffusion Imaging (HARDI), namely, the principal invariants of fourth-order tensors modeling the diffusion profiles. We present the formalism needed to compute tensor invariants. We show results on the orthogonal basis of fourth-order tensor and on real HARDI phantom and brain data.

M3 - Report

T3 - CASA-report

BT - Fourth-order tensor invariants in high angular resolution diffusion imaging

PB - Technische Universiteit Eindhoven

CY - Eindhoven

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Fuster A, Sande, van de J, Astola LJ, Poupon C, Velterop J, Haar Romeny, ter BM. Fourth-order tensor invariants in high angular resolution diffusion imaging. Eindhoven: Technische Universiteit Eindhoven, 2011. 10 p. (CASA-report).