Normal and equivolumetric coordinate systems for cortical areas
We describe coordinate systems adapted for the space between two surfaces, such as those delineating the highly folded cortex in mammalian brains. These systems are estimated in order to satisfy geometric priors, including streamline normality or equivolumetric conditions on layers. We give a precis...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-06-01
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| Series: | MethodsX |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2215016124001432 |
| _version_ | 1797214878247682048 |
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| author | Laurent Younes Kwame S. Kutten J. Tilak Ratnanather |
| author_facet | Laurent Younes Kwame S. Kutten J. Tilak Ratnanather |
| author_sort | Laurent Younes |
| collection | DOAJ |
| description | We describe coordinate systems adapted for the space between two surfaces, such as those delineating the highly folded cortex in mammalian brains. These systems are estimated in order to satisfy geometric priors, including streamline normality or equivolumetric conditions on layers. We give a precise mathematical formulation of these problems, and present numerical simulations based on diffeomorphic registration methods, comparing them with recent approaches.Our method involves • Diffeomorphic registration of inner and outer folded folded surfaces. • Followed by equivolumetric reparametrization of layers to yield coordinate system. |
| first_indexed | 2024-04-24T11:21:10Z |
| format | Article |
| id | doaj.art-2c2dd6bd10f64547a13d01015148dbf2 |
| institution | Directory Open Access Journal |
| issn | 2215-0161 |
| language | English |
| last_indexed | 2024-04-24T11:21:10Z |
| publishDate | 2024-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | MethodsX |
| spelling | doaj.art-2c2dd6bd10f64547a13d01015148dbf22024-04-11T04:41:18ZengElsevierMethodsX2215-01612024-06-0112102689Normal and equivolumetric coordinate systems for cortical areasLaurent Younes0Kwame S. Kutten1J. Tilak Ratnanather2Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, MD, USADepartment of Biomedical Engineering, Johns Hopkins University, Baltimore, MD, USADepartment of Biomedical Engineering, Johns Hopkins University, Baltimore, MD, USA; Corresponding author.We describe coordinate systems adapted for the space between two surfaces, such as those delineating the highly folded cortex in mammalian brains. These systems are estimated in order to satisfy geometric priors, including streamline normality or equivolumetric conditions on layers. We give a precise mathematical formulation of these problems, and present numerical simulations based on diffeomorphic registration methods, comparing them with recent approaches.Our method involves • Diffeomorphic registration of inner and outer folded folded surfaces. • Followed by equivolumetric reparametrization of layers to yield coordinate system.http://www.sciencedirect.com/science/article/pii/S2215016124001432Shape analysisMedical imagingCortical thicknessEquivolumetric coordinatesBok's hypothesis |
| spellingShingle | Laurent Younes Kwame S. Kutten J. Tilak Ratnanather Normal and equivolumetric coordinate systems for cortical areas MethodsX Shape analysis Medical imaging Cortical thickness Equivolumetric coordinates Bok's hypothesis |
| title | Normal and equivolumetric coordinate systems for cortical areas |
| title_full | Normal and equivolumetric coordinate systems for cortical areas |
| title_fullStr | Normal and equivolumetric coordinate systems for cortical areas |
| title_full_unstemmed | Normal and equivolumetric coordinate systems for cortical areas |
| title_short | Normal and equivolumetric coordinate systems for cortical areas |
| title_sort | normal and equivolumetric coordinate systems for cortical areas |
| topic | Shape analysis Medical imaging Cortical thickness Equivolumetric coordinates Bok's hypothesis |
| url | http://www.sciencedirect.com/science/article/pii/S2215016124001432 |
| work_keys_str_mv | AT laurentyounes normalandequivolumetriccoordinatesystemsforcorticalareas AT kwameskutten normalandequivolumetriccoordinatesystemsforcorticalareas AT jtilakratnanather normalandequivolumetriccoordinatesystemsforcorticalareas |