3D Winding Number: Theory and Application to Medical Imaging
We develop a new formulation, mathematically elegant, to detect critical points of 3D scalar images. It is based on a topological number, which is the generalization to three dimensions of the 2D winding number. We illustrate our method by considering three different biomedical applications, namely,...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Biomedical Imaging |
| Online Access: | http://dx.doi.org/10.1155/2011/516942 |
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| _version_ | 1832561987992682496 |
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| author | Alessandro Becciu Andrea Fuster Mark Pottek Bart van den Heuvel Bart ter Haar Romeny Hans van Assen |
| author_facet | Alessandro Becciu Andrea Fuster Mark Pottek Bart van den Heuvel Bart ter Haar Romeny Hans van Assen |
| author_sort | Alessandro Becciu |
| collection | DOAJ |
| description | We develop a new formulation, mathematically elegant, to detect critical points of 3D scalar images. It is based on a topological number, which is the generalization to three dimensions of the 2D winding number. We illustrate our method by considering three different biomedical applications, namely, detection and counting of ovarian follicles and neuronal cells and estimation of cardiac motion from tagged MR images. Qualitative and quantitative evaluation emphasizes the reliability of the results. |
| format | Article |
| id | doaj-art-874ce932e678441f9a0bea70566fb834 |
| institution | Kabale University |
| issn | 1687-4188 1687-4196 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Biomedical Imaging |
| spelling | doaj-art-874ce932e678441f9a0bea70566fb8342025-02-03T01:23:42ZengWileyInternational Journal of Biomedical Imaging1687-41881687-41962011-01-01201110.1155/2011/5169425169423D Winding Number: Theory and Application to Medical ImagingAlessandro Becciu0Andrea Fuster1Mark Pottek2Bart van den Heuvel3Bart ter Haar Romeny4Hans van Assen5Department of Biomedical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The NetherlandsDepartment of Biomedical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The NetherlandsDepartment of Biology, Kaiserslautern University of Technology, 67653 Kaiserslautern, GermanyDepartment of Biomedical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The NetherlandsDepartment of Biomedical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The NetherlandsDepartment of Biomedical Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, The NetherlandsWe develop a new formulation, mathematically elegant, to detect critical points of 3D scalar images. It is based on a topological number, which is the generalization to three dimensions of the 2D winding number. We illustrate our method by considering three different biomedical applications, namely, detection and counting of ovarian follicles and neuronal cells and estimation of cardiac motion from tagged MR images. Qualitative and quantitative evaluation emphasizes the reliability of the results.http://dx.doi.org/10.1155/2011/516942 |
| spellingShingle | Alessandro Becciu Andrea Fuster Mark Pottek Bart van den Heuvel Bart ter Haar Romeny Hans van Assen 3D Winding Number: Theory and Application to Medical Imaging International Journal of Biomedical Imaging |
| title | 3D Winding Number: Theory and Application to Medical Imaging |
| title_full | 3D Winding Number: Theory and Application to Medical Imaging |
| title_fullStr | 3D Winding Number: Theory and Application to Medical Imaging |
| title_full_unstemmed | 3D Winding Number: Theory and Application to Medical Imaging |
| title_short | 3D Winding Number: Theory and Application to Medical Imaging |
| title_sort | 3d winding number theory and application to medical imaging |
| url | http://dx.doi.org/10.1155/2011/516942 |
| work_keys_str_mv | AT alessandrobecciu 3dwindingnumbertheoryandapplicationtomedicalimaging AT andreafuster 3dwindingnumbertheoryandapplicationtomedicalimaging AT markpottek 3dwindingnumbertheoryandapplicationtomedicalimaging AT bartvandenheuvel 3dwindingnumbertheoryandapplicationtomedicalimaging AT bartterhaarromeny 3dwindingnumbertheoryandapplicationtomedicalimaging AT hansvanassen 3dwindingnumbertheoryandapplicationtomedicalimaging |