Numerical schemes for linear and non-linear enhancement of DW-MRI

E.J. Creusen (Corresponding author), R. Duits (Corresponding author), Anna Vilanova, L.M.J. Florack

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

Samenvatting

We consider the linear and non-linear enhancement of diffusion weighted magnetic resonance images (DW-MRI) to use contextual information in denoising and inferring fiber crossings. We describe the space of DW-MRI images in a moving frame of reference, attached to fiber fragments which allows for convection-diffusion along the fibers. Because of this approach, our method is naturally able to handle crossings in data. We will perform experiments showing the ability of the enhancement to infer information about crossing structures, even in diffusion tensor images (DTI) which are incapable of representing crossings themselves. We will present a novel non-linear enhancement technique which performs better than linear methods in areas around ventricles, thereby eliminating the need for additional preprocessing steps to segment out the ventricles. We pay special attention to the details of implementation of the various numeric schemes.
Originele taal-2Engels
Pagina's (van-tot)138-168
Aantal pagina's31
TijdschriftNumerical Mathematics: Theory, Methods and Applications
Volume6
Nummer van het tijdschrift1
DOI's
StatusGepubliceerd - 2013

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