A Riemannian scalar measure for diffusion tensor images

Onderzoeksoutput: Boek/rapportRapportAcademic

279 Downloads (Pure)

Samenvatting

We study a well-known scalar quantity in Riemannian geometry, the Ricci scalar, in the context of Diffusion Tensor Imaging (DTI), which is an emerging non-invasive medical imaging modality. We derive a physical interpretation for the Ricci scalar and explore experimentally its significance in DTI. We also extend the definition of the Ricci scalar to the case of High Angular Resolution Diffusion Imaging (HARDI) using Finsler geometry. We mention that Ricci scalar is not only suitable for tensor valued image analysis, but it can be computed for any mapping f : Rn ¿ Rm (m = n), for example when an original image changes in time. Keywords: Riemann Geometry, Diffusion Tensor Imaging, Ricci Scalar, Finsler geometry, High Angular Resolution Diffusion Imaging.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijTechnische Universiteit Eindhoven
Aantal pagina's18
StatusGepubliceerd - 2010

Publicatie series

NaamCASA-report
Volume1057
ISSN van geprinte versie0926-4507

Vingerafdruk Duik in de onderzoeksthema's van 'A Riemannian scalar measure for diffusion tensor images'. Samen vormen ze een unieke vingerafdruk.

Citeer dit