TY - BOOK
T1 - A Riemannian scalar measure for diffusion tensor images
AU - Astola, L.J.
AU - Fuster, A.
AU - Florack, L.M.J.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
M3 - Report
T3 - CASA-report
BT - A Riemannian scalar measure for diffusion tensor images
PB - Technische Universiteit Eindhoven
CY - Eindhoven
ER -