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

E.J. Creusen, R. Duits, T.C.J. Dela Haije

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

8 Citaten (Scopus)

Samenvatting

We consider left-invariant di??usion processes on DTI data by embedding the data into the space R3 o S2 of 3D positions and orientations. We then define and solve the diffusion equation in a moving frame of reference defined using left-invariant derivatives. The diffusion process is made adaptive to the data in order to do Perona-Malik-like edge preserving smoothing, which is necessary to handle fiber structures near regions of large isotropic diffusion such as the ventricles of the brain. The corresponding partial differential systems are solved using finite difference stencils. We include experiments both on synthetic data and on DTI-images of the brain.
Originele taal-2Engels
TitelScale Space and Variational Methods in Computer Vision (Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29-June 2, 2011. Revised Selected Papers)
RedacteurenA.M. Bruckstein, B.M. Haar Romeny, ter, A.M. Bronstein, M.M. Bronstein
Plaats van productieBerlin
UitgeverijSpringer
Pagina's14-25
ISBN van geprinte versie978-3-642-24784-2
DOI's
StatusGepubliceerd - 2012

Publicatie series

NaamLecture Notes in Computer Science
Volume6667
ISSN van geprinte versie0302-9743

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  • Citeer dit

    Creusen, E. J., Duits, R., & Dela Haije, T. C. J. (2012). Numerical schemes for linear and non-linear enhancement of DW-MRI. In A. M. Bruckstein, B. M. Haar Romeny, ter, A. M. Bronstein, & M. M. Bronstein (editors), Scale Space and Variational Methods in Computer Vision (Third International Conference, SSVM 2011, Ein-Gedi, Israel, May 29-June 2, 2011. Revised Selected Papers) (blz. 14-25). (Lecture Notes in Computer Science; Vol. 6667). Springer. https://doi.org/10.1007/978-3-642-24785-9_2