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Fast and Analytical EAP Approximation from a 4th-Order Tensor
Joint Authors
Deriche, Rachid
Ghosh, Aurobrata
Source
International Journal of Biomedical Imaging
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-30
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Generalized diffusion tensor imaging (GDTI) was developed to model complex apparent diffusivity coefficient (ADC) using higher-order tensors (HOTs) and to overcome the inherent single-peak shortcoming of DTI.
However, the geometry of a complex ADC profile does not correspond to the underlying structure of fibers.
This tissue geometry can be inferred from the shape of the ensemble average propagator (EAP).
Though interesting methods for estimating a positive ADC using 4th-order diffusion tensors were developed, GDTI in general was overtaken by other approaches, for example, the orientation distribution function (ODF), since it is considerably difficult to recuperate the EAP from a HOT model of the ADC in GDTI.
In this paper, we present a novel closed-form approximation of the EAP using Hermite polynomials from a modified HOT model of the original GDTI-ADC.
Since the solution is analytical, it is fast, differentiable, and the approximation converges well to the true EAP.
This method also makes the effort of computing a positive ADC worthwhile, since now both the ADC and the EAP can be used and have closed forms.
We demonstrate our approach with 4th-order tensors on synthetic data and in vivo human data.
American Psychological Association (APA)
Ghosh, Aurobrata& Deriche, Rachid. 2012. Fast and Analytical EAP Approximation from a 4th-Order Tensor. International Journal of Biomedical Imaging،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-453346
Modern Language Association (MLA)
Ghosh, Aurobrata& Deriche, Rachid. Fast and Analytical EAP Approximation from a 4th-Order Tensor. International Journal of Biomedical Imaging No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-453346
American Medical Association (AMA)
Ghosh, Aurobrata& Deriche, Rachid. Fast and Analytical EAP Approximation from a 4th-Order Tensor. International Journal of Biomedical Imaging. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-453346
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453346