A Riemannian scalar measure for diffusion tensor images

[摘要] 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 the Ricci scalar is not only suitable for tensor valued image analysis, but it can be computed for any mapping f : R-n -> R-m (m <= n). (C) 2010 Elsevier Ltd. All rights reserved.

[发布日期] 2011-09-01

[效力级别]  Proceedings Paper

[关键词] Riemann geometry;Diffusion tensor imaging;Ricci scalar;Finsler geometry;High angular resolution diffusion imaging