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
Descripción
Sumario: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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