Title
A Riemannian Scalar Measure for Diffusion Tensor Images
Abstract
We study a well-known scalar quantity in differential geometry, the Ricci scalar, in the context of Diffusion Tensor Imaging (DTI). We explore the relation between the Ricci scalar and the two most popular scalar measures in DTI: Mean Diffusivity and Fractional Anisotropy. We discuss results of computing the Ricci scalar on synthetic as well as real DTI data.
Year
DOI
Venue
2009
10.1007/978-3-642-03767-2_51
CAIP
Keywords
Field
DocType
mean diffusivity,ricci scalar,diffusion tensor images,diffusion tensor imaging,well-known scalar quantity,popular scalar measure,differential geometry,real dti data,riemannian scalar measure,fractional anisotropy
Ricci flow,Scalar curvature,Weyl tensor,Mathematical analysis,Scalar (physics),Einstein tensor,Tensor field,Ricci decomposition,Tensor contraction,Mathematics
Conference
Volume
ISSN
Citations 
5702
0302-9743
6
PageRank 
References 
Authors
0.51
6
3
Name
Order
Citations
PageRank
Andrea Fuster1357.45
Laura Astola2324.42
L. M. J. Florack31212210.47