Implementation of the MR Tractography Visualization Kit Based on the Anisotropic Allen-Cahn Equation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F09%3A00160904" target="_blank" >RIV/68407700:21340/09:00160904 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Implementation of the MR Tractography Visualization Kit Based on the Anisotropic Allen-Cahn Equation

Popis výsledku v původním jazyce

Magnetic Resonance Diffusion Tensor Imaging (MR-DTI) is a noninvasive method capable of examining the structure of human brain, providing information about the position and orientation of the neural tracts. This paper describes the steps of the proposedneural tract visualization technique based on the DTI data. The cornerstone of the algorithm is a texture diffusion procedure modeled mathematically by the problem for the Allen-Cahn equation with diffusion anisotropy controlled by a tensor field. Focusis put on the issues of the numerical solution of the given problem, using the finite volume method for spatial domain discretization. Several numerical schemes are compared with the aim of reducing the artificial isotropic diffusion. The remaining stepsof the algorithm are commented on as well, including the acquisition of the tensor field before the actual computation begins and the postprocessing used to obtain the final images. Finally, the visualization results are presented.

Název v anglickém jazyce

Implementation of the MR Tractography Visualization Kit Based on the Anisotropic Allen-Cahn Equation

Popis výsledku anglicky

Magnetic Resonance Diffusion Tensor Imaging (MR-DTI) is a noninvasive method capable of examining the structure of human brain, providing information about the position and orientation of the neural tracts. This paper describes the steps of the proposedneural tract visualization technique based on the DTI data. The cornerstone of the algorithm is a texture diffusion procedure modeled mathematically by the problem for the Allen-Cahn equation with diffusion anisotropy controlled by a tensor field. Focusis put on the issues of the numerical solution of the given problem, using the finite volume method for spatial domain discretization. Several numerical schemes are compared with the aim of reducing the artificial isotropic diffusion. The remaining stepsof the algorithm are commented on as well, including the acquisition of the tensor field before the actual computation begins and the postprocessing used to obtain the final images. Finally, the visualization results are presented.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/LC06052" target="_blank" >LC06052: Centrum Jindřicha Nečase pro matematické modelování</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2009

Kód důvěrnosti údajů

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

Název periodika

Kybernetika

ISSN

0023-5954

e-ISSN

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Svazek periodika

45

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

13

Strana od-do

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Kód UT WoS článku

000271525000010

EID výsledku v databázi Scopus

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