A Riemannian scalar measure for diffusion tensor images

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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.
Original languageEnglish
Title of host publicationComputer Analysis of Images and Patterns (13th International Conference, CAIP 2009, Münster, Germany, September 2-4, 2009. Proceedings)
EditorsX. Jiang, N. Petkov
Place of PublicationBerlin
PublisherSpringer
Pages419-426
ISBN (Print)978-3-642-03766-5
DOIs
Publication statusPublished - 2009

Publication series

NameLecture Notes in Computer Science
Volume5702
ISSN (Print)0302-9743

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Cite this

Fuster, A., Astola, L. J., & Florack, L. M. J. (2009). A Riemannian scalar measure for diffusion tensor images. In X. Jiang, & N. Petkov (Eds.), Computer Analysis of Images and Patterns (13th International Conference, CAIP 2009, Münster, Germany, September 2-4, 2009. Proceedings) (pp. 419-426). (Lecture Notes in Computer Science; Vol. 5702). Berlin: Springer. https://doi.org/10.1007/978-3-642-03767-2_51