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Tractography in Curvilinear Coordinates
Coordinate invariance of physical laws is central in physics, it grants us the freedom to express observations in coordinate systems that provide computational convenience. In the context of medical imaging there are numerous examples where departing from Cartesian to curvilinear coordinates leads t...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Frontiers Media S.A.
2021
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8428760/ https://www.ncbi.nlm.nih.gov/pubmed/34512250 http://dx.doi.org/10.3389/fnins.2021.716538 |
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author | Hussain, Uzair Baron, Corey A. Khan, Ali R. |
author_facet | Hussain, Uzair Baron, Corey A. Khan, Ali R. |
author_sort | Hussain, Uzair |
collection | PubMed |
description | Coordinate invariance of physical laws is central in physics, it grants us the freedom to express observations in coordinate systems that provide computational convenience. In the context of medical imaging there are numerous examples where departing from Cartesian to curvilinear coordinates leads to ease of visualization and simplicity, such as spherical coordinates in the brain's cortex, or universal ventricular coordinates in the heart. In this work we introduce tools that enhance the use of existing diffusion tractography approaches to utilize arbitrary coordinates. To test our method we perform simulations that gauge tractography performance by calculating the specificity and sensitivity of tracts generated from curvilinear coordinates in comparison with those generated from Cartesian coordinates, and we find that curvilinear coordinates generally show improved sensitivity and specificity compared to Cartesian. Also, as an application of our method, we show how harmonic coordinates can be used to enhance tractography for the hippocampus. |
format | Online Article Text |
id | pubmed-8428760 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Frontiers Media S.A. |
record_format | MEDLINE/PubMed |
spelling | pubmed-84287602021-09-10 Tractography in Curvilinear Coordinates Hussain, Uzair Baron, Corey A. Khan, Ali R. Front Neurosci Neuroscience Coordinate invariance of physical laws is central in physics, it grants us the freedom to express observations in coordinate systems that provide computational convenience. In the context of medical imaging there are numerous examples where departing from Cartesian to curvilinear coordinates leads to ease of visualization and simplicity, such as spherical coordinates in the brain's cortex, or universal ventricular coordinates in the heart. In this work we introduce tools that enhance the use of existing diffusion tractography approaches to utilize arbitrary coordinates. To test our method we perform simulations that gauge tractography performance by calculating the specificity and sensitivity of tracts generated from curvilinear coordinates in comparison with those generated from Cartesian coordinates, and we find that curvilinear coordinates generally show improved sensitivity and specificity compared to Cartesian. Also, as an application of our method, we show how harmonic coordinates can be used to enhance tractography for the hippocampus. Frontiers Media S.A. 2021-08-26 /pmc/articles/PMC8428760/ /pubmed/34512250 http://dx.doi.org/10.3389/fnins.2021.716538 Text en Copyright © 2021 Hussain, Baron and Khan. https://creativecommons.org/licenses/by/4.0/This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms. |
spellingShingle | Neuroscience Hussain, Uzair Baron, Corey A. Khan, Ali R. Tractography in Curvilinear Coordinates |
title | Tractography in Curvilinear Coordinates |
title_full | Tractography in Curvilinear Coordinates |
title_fullStr | Tractography in Curvilinear Coordinates |
title_full_unstemmed | Tractography in Curvilinear Coordinates |
title_short | Tractography in Curvilinear Coordinates |
title_sort | tractography in curvilinear coordinates |
topic | Neuroscience |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8428760/ https://www.ncbi.nlm.nih.gov/pubmed/34512250 http://dx.doi.org/10.3389/fnins.2021.716538 |
work_keys_str_mv | AT hussainuzair tractographyincurvilinearcoordinates AT baroncoreya tractographyincurvilinearcoordinates AT khanalir tractographyincurvilinearcoordinates |