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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00129133" target="_blank" >RIV/00216224:14310/21:00129133 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21230/21:00354262

Výsledek na webu

<a href="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" target="_blank" >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</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1117/12.2606129" target="_blank" >10.1117/12.2606129</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA20-11473S" target="_blank" >GA20-11473S: Symetrie a invariance v analýze, geometrickém modelování a teorii optimálního řízení</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

17th International Symposium on Medical Information Processing and Analysis

ISBN

9781510650527

ISSN

0277-786X

e-ISSN

1996-756X

Počet stran výsledku

8

Strana od-do

1-8

Název nakladatele

SPIE

Místo vydání

Bellingham

Místo konání akce

Campinas, Brazil

Datum konání akce

17. 11. 2021

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000797319900025