Automatic tractography and segmentation using finsler geometry based on higher-order tensor fields

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00131278" target="_blank" >RIV/00216224:14310/23:00131278 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1016/j.cmpb.2023.107630" target="_blank" >https://doi.org/10.1016/j.cmpb.2023.107630</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cmpb.2023.107630" target="_blank" >10.1016/j.cmpb.2023.107630</a>

Result language

angličtina

Original language name

Automatic tractography and segmentation using finsler geometry based on higher-order tensor fields

Original language description

Background and objective: We focus on three-dimensional higher-order tensorial (HOT) images using Finsler geometry. In biomedical image analysis, these images are widely used, and they are based on the diffusion profiles inside the voxels. The diffusion information is stored in the so-called diffusion tensor D . Our objective is to present new methods revealing the architecture of neural fibers in presence of cross-ings and high curvatures. After tracking the fibers, we achieve direct 3D image segmentation to analyse the brain's white matter structures. Methods: To deal with the construction of the underlying fibers, the inverse of the second-order diffusion tensor D , understood as the metric tensor D -1, is commonly used in DTI modality. For crossing and highly curved fibers, higher order tensors are more relevant, but it is challenging to find an analogue of such an inverse in the HOT case. We employ an innovative approach to metrics based on higher order tensors to track the fibers properly. We propose to feed the tracked fibers as the internal initial contours in an efficient version of 3D segmentation. Results: We propose a brand-new approach to the inversion of a diffusion HOT, and an effective way of fiber tracking in the Finsler setting, based on innovative classification of the individual voxels. Thus, we can handle complex structures with high curvatures and crossings, even in the presence of noise. Based on our novel tractog-raphy approach, we also introduce a new segmentation method. We feed the detected fibers as the initial position of the contour surfaces to segment the image using a relevant active contour method (i.e., initi-ating the segmentation from inside the structures). Conclusions: This is a pilot work, enhancing methods for fiber tracking and segmentation. The implemented algorithms were successfully tested on both syn-thetic and real data. The new features make our algorithms robust and fast, and they allow distinguishing individual objects in complex structures, even under noise.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2023

Confidentiality

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

Name of the periodical

Computer Methods and Programs in Biomedicine

ISSN

0169-2607

e-ISSN

1872-7565

Volume of the periodical

240

Issue of the periodical within the volume

October

Country of publishing house

IE - IRELAND

Number of pages

14

Pages from-to

1-14

UT code for WoS article

001022497700001

EID of the result in the Scopus database

2-s2.0-85162033011