A Riemannian scalar measure for diffusion tensor images

作者：Astola Laura^*; Fuster Andrea; Florack Luc

来源：Pattern Recognition, 2011, 44(9): 1885-1891.

DOI：10.1016/j.patcog.2010.09.009

• Riemann geometry
• Diffusion tensor imaging
• Ricci scalar
• Finsler geometry
• High angular resolution diffusion imaging

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).

• 出版日期2011-9