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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Detalles Bibliográficos
Autores principales: Becciu, Alessandro, Fuster, Andrea, Pottek, Mark, van den Heuvel, Bart, ter Haar Romeny, Bart, van Assen, Hans
Formato: Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2011
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3025358/
https://www.ncbi.nlm.nih.gov/pubmed/21317978
http://dx.doi.org/10.1155/2011/516942
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author Becciu, Alessandro
Fuster, Andrea
Pottek, Mark
van den Heuvel, Bart
ter Haar Romeny, Bart
van Assen, Hans
author_facet Becciu, Alessandro
Fuster, Andrea
Pottek, Mark
van den Heuvel, Bart
ter Haar Romeny, Bart
van Assen, Hans
author_sort Becciu, Alessandro
collection PubMed
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.
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spelling pubmed-30253582011-02-11 3D Winding Number: Theory and Application to Medical Imaging Becciu, Alessandro Fuster, Andrea Pottek, Mark van den Heuvel, Bart ter Haar Romeny, Bart van Assen, Hans Int J Biomed Imaging Research Article 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. Hindawi Publishing Corporation 2011 2011-01-12 /pmc/articles/PMC3025358/ /pubmed/21317978 http://dx.doi.org/10.1155/2011/516942 Text en Copyright © 2011 Alessandro Becciu et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Becciu, Alessandro
Fuster, Andrea
Pottek, Mark
van den Heuvel, Bart
ter Haar Romeny, Bart
van Assen, Hans
3D Winding Number: Theory and Application to Medical 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
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3025358/
https://www.ncbi.nlm.nih.gov/pubmed/21317978
http://dx.doi.org/10.1155/2011/516942
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AT vandenheuvelbart 3dwindingnumbertheoryandapplicationtomedicalimaging
AT terhaarromenybart 3dwindingnumbertheoryandapplicationtomedicalimaging
AT vanassenhans 3dwindingnumbertheoryandapplicationtomedicalimaging

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