NDLI: Orientation-independent diffusion imaging without tensor diagonalization: Anisotropy definitions based on physical attributes of the diffusion ellipsoid

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Orientation-independent diffusion imaging without tensor diagonalization: Anisotropy definitions based on physical attributes of the diffusion ellipsoid

Content Provider	Scilit
Author	Ulug, Aziz M. van Zijl, Peter C. M.
Copyright Year	1999
Description	Journal: Journal of Magnetic Resonance Imaging (JMRI) Diffusion tensor imaging can provide a complete description of the diffusion process in tissue. However, this description is not unique but is orientation dependent, and, to quantify properly the intrinsic orientation-independent diffusion properties of the tissue, a set of three rotationally invariant quantities is needed. Instead of using the tensor eigenvalues for this, we define a new set consisting of scaled invariants that have the proper magnitude of actual diffusion constants and that are directly related to the physical attributes of the diffusion ellipsoid, namely, its average radius, surface, and volume. Using these three physical invariants, a new family of anisotropy measures is defined that are normalized between zero (isotropic) and one (completely anisotropic). Because rotational invariants are used, this approach does not require tensor diagonalization and eigenvalue determination and is therefore not susceptible to potential artifacts induced during these number manipulations. The relationship between the new anisotropy definitions and existing orientation-independent anisotropy indices obtained from eigenvalues is discussed, after which the new approach is evaluated for a group of healthy volunteers. J. Magn. Reson. Imaging 1999;9:804–813.
Related Links	http://onlinelibrary.wiley.com/doi/10.1002/(SICI)1522-2586(199906)9:6<804::AID-JMRI7>3.0.CO;2-B/pdf
Ending Page	813
Page Count	10
Starting Page	804
e-ISSN	15222586
DOI	10.1002/%28sici%291522-2586%28199906%299%3A6%3C804%3A%3Aaid-jmri7%3E3.0.co%3B2-b
Journal	Journal of Magnetic Resonance Imaging (JMRI)
Issue Number	6
Volume Number	9
Language	English
Publisher	Wiley-Blackwell
Publisher Date	1999-06-01
Access Restriction	Open
Subject Keyword	Journal: Journal of Magnetic Resonance Imaging (JMRI) Radiology, Nuclear Medicine and Imaging White Matter Human Brain
Content Type	Text
Resource Type	Article

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