Geodesic ray-tracing in white matter fiber crossing region using decomposition of 4th order tensor

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Publikace nespadá pod Ekonomicko-správní fakultu, ale pod Přírodovědeckou fakultu. Oficiální stránka publikace je na webu muni.cz.
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BANSAL Avinash KAUSHIK Sumit BIHONEGN Temesgen Tsegaye SLOVÁK Jan

Rok publikování 2021
Druh Článek ve sborníku
Konference 17th International Symposium on Medical Information Processing and Analysis
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://www.spiedigitallibrary.org/conference-proceedings-of-spie/12088/120880Q/Geodesic-ray-tracing-in-white-matter-fiber-crossing-region-using/10.1117/12.2606129.short?SSO=1
Doi http://dx.doi.org/10.1117/12.2606129
Klíčová slova DW-MRI; DTI; tensor decomposition; 4th order tensor; fiber tracking; geodesics; Riemannian space
Přiložené soubory
Popis The streamline methods in Diffusion tensor imaging (DTI) use principal eigenvectors for tracking white matter fibers. In comparison, the geodesics in a multivalued ray-tracing method are closer to the actual underlying white matter fibers. This method provides multiple solutions in the form of geodesics in a Riemannian space. These geodesics are robust in tracking high curvature structures in the presence of noise. In the DTI modality, the 2nd order tensor fails to model the heterogeneous regions, e.g., crossing/merging fibers. Therefore, the ray-tracing method is limited to guide the geodesics in these regions. This work, as a first step, utilizes 4th order tensor approximation for the white matter regions. Subsequently, a non-linear optimization is performed to decompose 4th order tensors into multiple 2nd order tensors keeping their symmetric positive definite property. We are using the initial fiber directions from the diagonal components of the 4th order tensor and use the 4th order tensor decomposition for fiber tracking. The experimental results on synthetic images show that geodesics can traverse in heterogeneous and high curvature structures.
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